Testing of materials Books

107 products


  • Theoretical and Experimental Modal Analysis

    John Wiley & Sons Inc Theoretical and Experimental Modal Analysis

    15 in stock

    Book SynopsisModal analysis is a discipline that has developed considerably during the last 30 years. Theoretical and Experimental Modal Analysis is a new book on modal analysis aimed at a wide range of readers, from academics such as post-graduate students and researchers, to engineers in many industries who use modal analysis tools and need to improve their knowledge of the subject. Divided into eight chapters, the book ranges from the basics of vibration theory and signal processing to more advanced topics, including identification techniques, substructural coupling, structural modification, updating of finite element models and nonlinear modal analysis. There is also an entire chapter dedicated to vibration testing techniques. It has been written with a diversity of potential readers in mind, so that all will be able to follow the book easily and assimilate the concepts involved.Table of ContentsSignal processing; modal testing practice; modal identification methods; coupling; structural modification; updating; non-linear modal analysis.

    15 in stock

    £74.66

  • Fundamentals of Powder Diffraction and Structural Characterization of Materials Second Edition

    Springer Fundamentals of Powder Diffraction and Structural Characterization of Materials Second Edition

    15 in stock

    Book SynopsisFundamentals of Crystalline State and Crystal Lattice.- Finite Symmetry Elements and Crystallographic Point Groups.- Infinite Symmetry Elements and Crystallographic Space Groups.- Formalization of Symmetry.- Nonconventional Symmetry.- Properties, Sources, and Detection of Radiation.- Fundamentals of Diffraction.- The Powder Diffraction Pattern.- Structure Factor.- Solving the Crystal Structure.- Powder Diffractometry.- Collecting Quality Powder Diffraction Data.- Preliminary Data Processing and Phase Analysis.- Determination and Refinement of the Unit Cell.- Solving Crystal Structure from Powder Diffraction Data.- Crystal Structure of LaNi4.85Sn0.15.- Crystal Structure of CeRhGe3.- Crystal Structure of Nd5Si4.- Empirical Methods of Solving Crystal Structures.- Crystal Structure of NiMnO2(OH).- Crystal Structure of ,i.tma V3O71.- Crystal Structure of ma2Mo7O221.- Crystal Structure of Mn7(OH)3(VO4)41.- Crystal Structure of FePO4.- Crystal Structure of Acetaminophen, C8H9NO2.Trade ReviewFrom a review of the first edition: “The book is well written and organized. The authors’ enthusiasm and dedication to the subject matter are clearly evident. I find the book to be not only an excellent introduction to structural characterization, but also a valuable introduction to the world of the working crystallographer. The text is rich in references to internet resources, software, literature, organizations, databases, and institutions that x-ray researchers employ routinely. As a class text the book could be used in an introductory course for third or fourth year undergraduates in materials science, chemistry, physics, or geochemistry. The detailed structural treatments may be too much for the typical introductory x-ray diffraction course, but students would be adding a valuable text for future reference to their libraries. The sections are also ideal for more advanced coursework at the graduate level. Beyond the classroom, any researcher desiring structural information on materials would benefit from this book.” - Materials Today, July/August 2004 Amazon.com readers: http://www.amazon.com/Fundamentals-Diffraction-Structural-Characterization-Materials/dp/0387241477/ref=pd_bbs_sr_1?ie=UTF8&s=books&qid=1229536007&sr=8-1Table of ContentsFundamentals of Crystalline State and Crystal Lattice.- Finite Symmetry Elements and Crystallographic Point Groups.- Infinite Symmetry Elements and Crystallographic Space Groups.- Formalization of Symmetry.- Nonconventional Symmetry.- Properties, Sources, and Detection of Radiation.- Fundamentals of Diffraction.- The Powder Diffraction Pattern.- Structure Factor.- Solving the Crystal Structure.- Powder Diffractometry.- Collecting Quality Powder Diffraction Data.- Preliminary Data Processing and Phase Analysis.- Determination and Refinement of the Unit Cell.- Solving Crystal Structure from Powder Diffraction Data.- Crystal Structure of LaNi4.85Sn0.15.- Crystal Structure of CeRhGe3.- Crystal Structure of Nd5Si4.- Empirical Methods of Solving Crystal Structures.- Crystal Structure of NiMnO2(OH).- Crystal Structure of ,i.tma V3O71.- Crystal Structure of ma2Mo7O221.- Crystal Structure of Mn7(OH)3(VO4)41.- Crystal Structure of FePO4.- Crystal Structure of Acetaminophen, C8H9NO2.

    15 in stock

    £94.99

  • Physical Properties of Polymers Handbook

    Springer New York Physical Properties of Polymers Handbook

    1 in stock

    Book SynopsisThis book offers concise information on the properties of polymeric materials, particularly those most relevant to physical chemistry and chemical physics. Extensive updates and revisions to each chapter include eleven new chapters on novel polymeric structures, reinforcing phases in polymers, and experiments on single polymer chains.Trade ReviewFrom the reviews of the second edition: "This edition of Physical Properties of Polymers Handbook is a mammoth undertaking with 63 chapters divided into nine parts and 100 distinguished contributors with affiliations in industry, academia, and governmental agencies. The objectives of the book are very ambitious. … The compilations of physical properties are very readable and, depending on one’s interests, range from the mundane and practical to the esoteric. … All in all, this is a very useful compendium and should have a place on every polymer scientist’s bookshelf." (George Christopher Martin, Journal of the American Chemical Society, Vol. 130 (3), 2008) "This handbook covers an enormous range of properties of polymeric materials, particularly those relevant to the areas of physical chemistry and chemical physics. … It is a reference work for researchers or advanced students studying polymeric materials. … The main goal of the book is to discuss and describe important results and modern developments. … If the reader … wishes to work in polymer applications or related areas, this is a good book to have available." (Christian Brosseau, Optics and Photonics News, February, 2008)Table of ContentsPreface to the Second Edition. -Preface to the First Edition. -STRUCTURE. -Chain Structures. -Names, Acronyms, Classes, and Structures of Some Important Polymers. -THEORY. -The Rotational Isomeric State Model. -Computational Parameters. -Theoretical Models and Simulations of Polymer Chains. -Scaling, Exponents, and Fractal Dimensions. -THERMODYNAMIC PROPERTIES. -Densities, Coefficients of Thermal Expansion, and Compressibilities of Amorphous Polymers. -Thermodynamic Properties of Proteins. -Heat Capacities of Polymers. -Thermal Conductivity. -Thermodynamic Quantities Governing Melting. -The Glass Temperature. -Sub-Tg Transitions. -Polymer-Solvent Interaction Parameter c. -Theta Temperatures. -Solubility Parameters. -Mark-Houwink-Staudinger-Sakurada Constants. -Polymers and Supercritical Fluids. -Thermodynamics of Polymer Blends. -SPECTROSCOPY. -NMR Spectroscopy of Polymers. -Broadband Dielectric Spectroscopy to Study the Molecular Dynamics of Polymers Having Different Molecular Architectures. -Group Frequency Assignments for Major Infrared Bands Observed in Common Synthetic Polymers. -Small Angle Neutron and X-Ray Scattering. -MECHANICAL PROPERTIES. -Mechanical Properties. -Chain Dimensions and Entanglement Spacings. -Temperature Dependences of the Viscoelastic Response of Polymer Systems. -Adhesives. -Some Mechanical Properties of Typical Polymer-Based Composites. -Polymer Networks and Gels. -Force Spectroscopy of Polymers: Beyond Single Chain Mechanics. -REINFORCING PHASES. -Carbon Black. -Properties of Polymers Reinforced with Silica. -Physical Properties of Polymer/Clay Nanocomposites. -Polyhedral Oligomeric Silsesquioxane (POSS). -Carbon Nanotube Polymer Composites: Recent Developments in Mechanical Properties. -Reinforcement Theories. -CRYSTALLINITY AND MORPHOLOGY. -Densities of Amorphous and Crystalline Polymers. -Unit Cell Information on Some Important Polymers. -Crystallization Kinetics of Polymers. -Block Copolymer Melts. -Polymer Liquid Crystals and Their Blends. -The Emergence of a New Macromolecular Architecture: 'The Dendritic State'. –Polyrotaxanes. -Foldamers: Nanoscale Shape Control at the Interface Between Small Molecules and High Polymers. -Recent Advances in Supramolecular Polymers. -ELECTRO-OPTICAL AND MAGNETIC PROPERTIES. -Conducting Polymers: Electrical Conductivity. -Conjugated Polymer Electroluminescence. -Magnetic, Piezoelectric, Pyroelectric, and Ferroelectric Properties of Synthetic and Biological Polymers. -Nonlinear Optical Properties of Polymers. -Refractive Index, Stress-Optical Coefficient, and Optical Configuration Parameter of Polymers. -RESPONSES TO RADIATION, HEAT, AND CHEMICAL AGENTS. -Ultraviolet Radiation and Polymers. -The Effects of Electron Beam and g-Irradiation on Polymeric Materials. –Flammability. -Thermal-Oxidative Stability and Degradation of Polymers. -Synthetic Biodegradable Polymers for Medical Applications. -Biodegradability of Polymers. -Properties of Photoresist Polymers. -Pyrolyzability of Preceramic Polymers. -OTHER PROPERTIES. -Surface and Interfacial Properties. -Acoustic Properties. -Permeability of Polymers to Gases and Vapors. –MISCELLANEOUS. –Definitions. -Units and Conversion Factors. -Subject Index

    1 in stock

    £494.99

  • Electron Backscatter Diffraction in Materials

    Springer-Verlag New York Inc. Electron Backscatter Diffraction in Materials

    1 in stock

    Book SynopsisPresent State of Electron Backscatter Diffraction and Prospective Developments.- Dynamical Simulation of Electron Backscatter Diffraction Patterns.- Representations of Texture.- Energy Filtering in EBSD.- Spherical Kikuchi Maps and Other Rarities.- Application of Electron Backscatter Diffraction to Phase Identification.- Phase Identification Through Symmetry Determination in EBSD Patterns.- Three-Dimensional Orientation Microscopy by Serial Sectioning and EBSD-Based Orientation Mapping in a FIB-SEM.- Collection, Processing, and Analysis of Three-Dimensional EBSD Data Sets.- 3D Reconstruction of Digital Microstructures.- Direct 3D Simulation of Plastic Flow from EBSD Data.- First-Order Microstructure Sensitive Design Based on Volume Fractions and Elementary Bounds.- Second-Order Microstructure Sensitive Design Using 2-Point Spatial Correlations.- Combinatorial Materials Science and EBSD: A High Throughput Experimentation Tool.- Grain Boundary Networks.- Measurement of the Five-ParameterTable of ContentsList of Contributors. 1. The Development of Automated Diffraction in Scanning and Transmission Electron Microscopy; D.J. Dingley. 2. Theoretical Framework for Electron Backscatter Diffraction; V. Randle. 3. Representation of Texture in Orientation Space; K. Rajan. 4. Rodriques-Frank Representations of Crystallographic Texture; K. Rajan. 5. Fundamentals of Automated EBSD; S.I. Wright. 6. Studies on the Accuracy of Electron Backscatter Diffraction Measurements; M.C. Demirel, B.S. El-Dasher, B.L. Adams, A.D. Rollett. 7. Phase Identification Using Electron Backscatter Diffraction in the Scanning Electron Microscope; J.R. Michael. 8. Three-Dimensional Orientation Imaging; D.J. Jensen. 9. Automated Electron Backscatter Diffraction: Present State and Prospects; R.A. Schwarzer. 10. EBSD: Buying a Systems; A. Eades. 11. Hardware and Software Optimization for Orientation Mapping and Phase Identification; P.P. Camus. 12. An Automated EBSD Acquisition and Processing System; P. Rolland, K.G. Dicks. 13. Advanced Software Capabilities for Automated EBSD; S.I. Wright, D.P. Field, D.J. Dingley. 14. Strategies for Analysis of EBSD Datasets; W.E. King, J.S. Stölken, M. Kumar, A.J. Schwartz. 15. Structure-Property Relations: EBSD-Based Materials-Sensitive Design; B.L. Adams, B.L. Henrie, L.L. Howell, R.J. Balling. 16. Use of EBSD Data in Mesoscale Numerical Analyses; R. Becker, H. Weiland. 17. Characterization of Deformed Microstructures; D.P. Field, H. Weiland. 18. AnisotropicPlasticity Modeling Incorporating EBSD Characterization of Tantalum and Zirconium; J.F. Bingert, G.C. Kaschner, T.A. Mason, P.J. Maudlin, G.T. Gray III. 19. Measuring Strains Using Electron Backscatter Diffraction; A.J. Wilkinson. 20. Mapping Residual Plastic Strain in Materials Using Electron Backscatter Diffraction; E.M. Lehockey, Yang-Pi Lin, O.E. Lepik. 21.EBSD Contra TEM Characterization of a Deformed Aluminum Single Crystal; Xiaoxu Huang, D.J. Jensen. 22. Continuous Recrystallization and Grain Boundaries in a Superplastic Aluminum Alloy; T.R. McNelley. 23. Analysis of Facets and Other Surfaces Using Electron Backscatter Diffraction; V. Randle. 24. EBSD of Ceramic Materials; J.K. Farrer, J.R. Michael, C.B. Carter. 25. Grain Boundary Character Based Design of Polycrystalline High Temperature Superconducting Wires; A. Goyal. Index.

    1 in stock

    £197.99

  • Handbook of Powder Science and Technology

    Springer Handbook of Powder Science and Technology

    15 in stock

    Book Synopsis1. Particle Size Characterization.- 2. Particle Shape Characterization.- 3. Structural Properties of Packings of Particles.- 4. Fundamental and Rheological Properties of Powders.- 5. Vibration of Fine Powders and its Application.- 6. Size Enlargement by Agglomeration.- 7. Pneumatic Conveying.- 8. Storage and Flow of Particulate Solids.- 9. Fluidization Phenomena and Fluidized Bed Technology.- 10. Spouting of Particulate Solids.- 11. Mixing of Powders.- 12. Size Reduction of Solids Crushing and Grinding Equipment.- 13. Sedimentation.- 14. Filtration of Solids from Liquid Streams.- 15. Cyclones.- 16. The Electrostatic Precipitator: Application And Concepts.- 17. Granular Bed Filters Part I. The Theory.- 17. Part II. Application and Design.- 18. Wet Scrubber Particulate Collection.- 19. Fire and Explosion Hazards in Powder Handling and Processing.- 20. Respirarle Dust Hazards.Trade ReviewUSA request forwarded to Chapman and Hall, New YorkTable of ContentsParticle size characterization. Particle shape characterization. Structural properties of packings of particles. Fundamental and rheological properties of powders. Vibration of fine powders and its application. Size enlargement by agglomeration. Pneumatic conveying. Storage and flow of particulate solids. Fluidization phenomena and fluidized bed technology. Spouting of particulate solids. Mixing of powders. Size reduction of solids and crushing/grinding equipment. Sedimentation. Filtration of solids from liquid streams. Cyclones. Electrostatic precipitator: application and concepts. Granular bed filters. Wet scrubber particulate collection. Fire and explosion hazards in powder handling and processing. Respirable dust hazards.

    15 in stock

    £237.49

  • Handbook of Measurement Science Volume 1

    John Wiley & Sons Inc Handbook of Measurement Science Volume 1

    15 in stock

    Book SynopsisThis handbook stresses the enduring theoretical principles of the design of measurement systems. The material is organized to correspond to the sequence in which a management system is first conceived, then designed, built, installed, and maintained.Table of ContentsPartial table of contents: Theory and Philosophy of Measurement (L. Finklestein). Standardization of Measurement Fundamentals and Practices (P. H.Sydenham). Signals and Systems in the Time and Frequency Domain (E. G.Woschni). Discrete Signals and Frequency Spectra (M. J. Miller). Measurement Errors, Probability and Information Theory (D.Hofmann). Signal-to-noise Ratio Improvement (D. M. Munroe). Transmission of Data (R. W. Grimes).

    15 in stock

    £821.66

  • Handbook of Measurement Science Volume 2

    John Wiley & Sons Inc Handbook of Measurement Science Volume 2

    15 in stock

    Book SynopsisThis handbook stresses the enduring theoretical principles of the design of measurement systems. The material is organized to correspond to the sequence in which a management system is first conceived, then designed, built, installed, and maintained.Table of ContentsPartial table of contents: Static and Steady-State Considerations (P. Sydenham). Fundamentals of Transducers: Description by Mathematical Models (L.Finkelstein & R. Watts). Measurement of Electrical Signals and Quantities (L.Schnell). Electrical and Electronic Regime of Measuring Instruments (P.Sydenham). Transducer Practice: Displacement (P. Sydenham). Transducer Practice: Thermal (P. Sydenham). Design and Manufacture of Measurement Systems (F. Peuscher). Management of Existing Measurement Systems (J. Hobson). Sources of Information on Measurement (P. Sydenham). References. Index.

    15 in stock

    £821.66

  • Theory and Practice of Infrared Technology for

    John Wiley & Sons Inc Theory and Practice of Infrared Technology for

    15 in stock

    Book SynopsisThe book includes fundamental concepts of theory, instrumentation, and experimental practice as well as practical applications. An important chapter setting the book apart from other publications describes the properties of materials and presents case studies from industry.Trade Review"A textbook to be used in a curriculum of advanced material engineering, with enough practical aspects covered to support associated laboratory sessions as well." (SciTech Book News, Vol. 25, No. 3, September 2001)Table of ContentsPreface. Getting Started with Thermography for Nondestructive Testing. FUNDAMENTAL CONCEPTS. Introduction to Thermal Emission. Introduction to Heat Transfer. Infrared Sensors and Optic Fundamentals. Images. Automated Image Analysis. Materials. Experimental Concepts. ACTIVE THERMOGRAPHY. Active Thermography. Quantitative Data Analysis in Active Thermography. ACTIVE AND PASSIVE THERMOGRAPHY: CASE STUDIES. Applications. References and Bibliography. Appendix A: Computer Model. Appendix B: Smoothing Routing. Appendix C: Parabola Computations. Appendix D: Higher-Order Gradient Computations Based on the Roberts Gradient. Appendix E: Properties of Metals and Nonmetals. Appendix F: Matlab M-Scripts Available. Index.

    15 in stock

    £199.76

  • A Guide to Materials Characterization and

    John Wiley & Sons Inc A Guide to Materials Characterization and

    15 in stock

    Book SynopsisWritten both for the novice and for the experienced scientist, this miniature encyclopedia concisely describes over one hundred materials methodologies, including evaluation, chemical analysis, and physical testing techniques. Each technique is presented in terms of its use, sample requirements, and the engineering principles behind its methodology. Real life industrial and academic applications are also described to give the reader an understanding of the significance and utilization of technique. There is also a discussion of the limitations of each technique.Table of ContentsFrom the Contents: Introduction/ Molecular Spectroscopy/ Magnetic Resonance Spectroscopy/ Mass Spectrometry/ Separation Techniques/ Elemental and Chemical Analysis/ X-Ray Analysis/ Microscopy/ Image Analysis/ Surface Analysis/ Thermal Analysis/ Rheology and Molecular Weight of Polymers/ Physical Properties of Particles and Polymers/ Physical Testing/ Scientific Computation.

    15 in stock

    £167.36

  • Semiconductor Wafer Bonding Science and

    John Wiley & Sons Inc Semiconductor Wafer Bonding Science and

    15 in stock

    Book SynopsisThough there has been a lot of scattered information on specific aspects of wafer bonding--a technique for welding semiconductor wafers together without using glue, this is one of the first practical works to bring together a broad range of information into a coherent overview of the field.Table of ContentsBasics of Interactions Between Flat Surfaces. Influence of Particles, Surface Steps, and Cavities. Surface Preparation and Room-Temperature Wafer Bonding. Thermal Treatment of Bonded Wafer Pairs. Thinning Procedures. Electrical Properties of Bonding Interfaces. Stresses in Bonded Wafers. Bonding of Dissimilar Materials. Bonding of Structured Wafers. Mainstream Applications. Emerging and Future Applications. Index.

    15 in stock

    £164.66

  • Built in Test for VLSI

    John Wiley & Sons Inc Built in Test for VLSI

    15 in stock

    Book SynopsisThis handbook provides ready access to all of the major concepts, techniques, problems, and solutions in the emerging field of pseudorandom pattern testing. Until now, the literature in this area has been widely scattered, and published work, written by professionals in several disciplines, has treated notation and mathematics in ways that vary from source to source. This book opens with a clear description of the shortcomings of conventional testing as applied to complex digital circuits, revewing by comparison the principles of design for testability of more advanced digital technology. Offers in-depth discussions of test sequence generation and response data compression, including pseudorandom sequence generators; the mathematics of shift-register sequences and their potential for built-in testing. Also details random and memory testing and the problems of assessing the efficiency of such tests, and the limitations and practical concerns of built-in testing.Table of ContentsDigital Testing and the Need for Testable Design. Principles of Testable Design. Pseudorandom Sequence Generators. Test Response Compression Techniques. Shift-Register Polynomial Division. Special-Purpose Shift-Register Circuits. Random Pattern Built-In Test. Built-In Test Structures. Limitations and Other Concerns of Random Pattern Testing. Test System Requirements for Built-In Test. Appendix. References. Index.

    15 in stock

    £196.16

  • Dynamic Analysis and Failure Modes of Simple

    John Wiley & Sons Inc Dynamic Analysis and Failure Modes of Simple

    15 in stock

    Book SynopsisOffers practical coverage of vibration stresses and stress-induced displacements, isolation of sensitive components, and evaluation of elastic instability, fatigue and fracture as potential failure modes that arise in mechanical designs and aerospace. The approach taken is particularly useful in the early design stage--the physical problem is defined via known paramaters and a methodology is given for determining the unknown quantities and relating them to specified limiting values and failure modes to obtain an acceptable design. Many of the calculations can be performed on a PC or programmable calculator.Table of ContentsMechanical Loads and Failure Modes. Natural Frequency of Simple Components. Natural Frequency of Simple Structures. Random Vibration. Shock. Isolation. Fatigue. Fracture. Elastic Instability. Structural Analysis of Mounted Housings. Venting. Thermal Analysis. References. Appendices. Index.

    15 in stock

    £163.76

  • Failure Mechanisms in Semiconductor Devices

    John Wiley & Sons Inc Failure Mechanisms in Semiconductor Devices

    15 in stock

    Book SynopsisFailure Mechanisms in Semiconductor Devices Second Edition E. Ajith Amerasekera Texas Instruments Inc., Dallas, USA Farid N. Najm University of Illinois at Urbana-Champaign, USA Since the successful first edition of Failure Mechanisms in Semiconductor Devices, semiconductor technology has become increasingly important. The high complexity of today''s integrated circuits has engendered a demand for greater component reliability. Reflecting the need for guaranteed performance in consumer applications, this thoroughly updated edition includes more detailed material on reliability modelling and prediction. The book analyses the main failure mechanisms in terms of cause, effects and prevention and explains the mathematics behind reliability analysis. The authors detail methodologies for the identification of failures and describe the approaches for building reliability into semiconductor devices. Their thorough yet accessible text covers the physics of failure mechanisms from the semiconducTable of ContentsReliability Mathematics. Principal Failure Mechanisms. Failure Mechanisms in Technologies and Circuits. Reliability Testing. Reliability Prediction. Screening. Failure Analysis. Quality Assurance. Appendix. Indexes.

    15 in stock

    £176.36

  • Buckling Experiments V 1 Experimental Methods in

    John Wiley & Sons Inc Buckling Experiments V 1 Experimental Methods in

    15 in stock

    Book SynopsisA practical guide to effectively analyzing t thin shell mechanical structures by discretizing methods. The relativity and implementation of these methods are important to solve engineering problems in the areas of dams, turbine blades, shell junctions, buckling loads and shape optimization.Table of ContentsConcepts of Elastic Stability. Postbuckling Behavior of Structures. Elements of a Simple Buckling Test--A Column Under Axial Compression. Modelling--Theory and Practice. Columns, Beams and Frameworks. Arches and Rings. Plate Buckling. References. Indexes.

    15 in stock

    £217.76

  • Pavements and Materials

    American Society of Civil Engineers Pavements and Materials

    1 in stock

    Book SynopsisContains 16 papers addressing a variety of issues in the testing and modeling of pavement materials and structures. This title discusses such topics as: asphalt materials; hot mix asphalt; asphalt pavements; and, concrete pavements. It also includes research papers with the findings from four National Science Foundation research projects.

    1 in stock

    £69.75

  • Regularization of Inverse Problems Mathematics and its Applications closed 375

    Springer Regularization of Inverse Problems Mathematics and its Applications closed 375

    15 in stock

    Book SynopsisThis book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems.Trade Review`It is written in a very clear style, the material is well organized, and there is an extensive bibliography with 290 items. There is no doubt that this book belongs to the modern standard references on ill-posed and inverse problems. It can be recommended not only to mathematicians interested in this, but to students with a basic knowledge of functional analysis, and to scientists and engineers working in this field.' Mathematical Reviews Clippings, 97k `... it will be an extremely valuable tool for researchers in the field, who will find under the same cover and with unified notation material that is otherwise scattered in extremely diverse publications.' SIAM Review, 41:2 (1999) Table of ContentsPreface. 1. Introduction: Examples of Inverse Problems. 2. Ill-Posed Linear Operator Equations. 3. Regularization Operators. 4. Continuous Regularization Methods. 5. Tikhonov Regularization. 6. Iterative Regularization Methods. 7. The Conjugate Gradient Method. 8. Regularization with Differential Operators. 9. Numerical Realization. 10. Tikhonov Regularization of Nonlinear Problems. 11. Iterative Methods for Nonlinear Problems. A. Appendix: A.1. Weighted Polynomial Minimization Problems. A.2. Orthogonal Polynomials. A.3. Christoffel Functions. Bibliography. Index.

    15 in stock

    £132.99

  • Flexible Polyurethane Foams Chemistry and Technology

    15 in stock

    £237.49

  • Nondestructive Testing

    ASM International Nondestructive Testing

    1 in stock

    Book SynopsisProblems and defects of all kinds arise in the development and use of mechanical devises, electrical equipment, hydraulic systems, transportation mechanisms and the like. However, an extremely wide range of nondestructive testing (NDT) methods are available to help you examine these different problems and various defects in an assortment of materials under varying circumstances. It is imperative that you select the best method to solve a particular problem. And that requires a sufficient understanding of the basic processes involved to realize the advantages of each NDT method available. Practical hints and pertinent comments for the resolution of day to day problems, this book will give you sufficient basic theory to comprehend the principles of each method so that the most appropriate method can be selected and used to its fullest advantage. Typical illustrative calculations and a comprehensive bibliography are provided. This book will be particularly useful to advanced technicians

    1 in stock

    £92.70

  • ASM Speciality Handbook Heatresistant Materials

    ASM International ASM Speciality Handbook Heatresistant Materials

    15 in stock

    Book SynopsisCovers the complete spectrum of technology dealing with heat-resistant materials, including high-temperature characteristics, effects of processing and microstructure on high-temperature properties, materials selection guidelines for industrial applications, and life-assessment methods. Also included is information on comparative properties.

    15 in stock

    £291.60

  • Handbook of Photon Interaction Coefficients in

    Nova Science Publishers Inc Handbook of Photon Interaction Coefficients in

    1 in stock

    Book Synopsis

    1 in stock

    £138.39

  • Bioluminescence

    Springer-Verlag New York Inc. Bioluminescence

    1 in stock

    Book SynopsisThis detailed collection explores recent advances in molecular imaging techniques involving bioluminescence, currently employed in biolaboratories around the world.Table of ContentsPart I: Establishment of Luciferins and Luciferases 1. Gene Cloning and Functional Analysis of the Luciferase from Luminous Syllids of the Genus Odontosyllis Rie Yasuno, Yasuo Mitani, and Yoshihiro Ohmiya 2. Synthetic Coelenterazine Derivatives and Their Application for Bioluminescence Imaging Tianyu Jiang and Minyong Li 3. Visible Light Bioluminescence Imaging Platform for Animal Cell Imaging Nobuo Kitada, Shojiro Maki, and Sung-Bae Kim 4. Biosynthesis-Inspired Deracemizative Production of D-Luciferin In Vitro by Combining Luciferase and Thioesterase Kazuki Niwa and Dai-ichiro Kato 5. Production of Metridia Luciferase in Native Form by Oxidative Refolding from E. coli Inclusion Bodies Svetlana V. Markova, Marina D. Larionova, and Eugene S. Vysotski 6. Production of Copepod Luciferases via Baculovirus Expression System Marina D. Larionova, Svetlana V. Markova, and Eugene S. Vysotski 7. Molecular Tension Probe for In Vitro Bioassays Sung-Bae Kim, Rika Fujii, Simon Miller, and Mikio Tanabe Part II: Basic In Vitro Applications 8. Optimized Loop-Mediated Amplification (LAMP) Allows Single Copy Detection Using Bioluminescent Assay in Real Time (BART) Patrick Hardinge 9. A Simple and Rapid Bioluminescence-Based Functional Assay of Organic Anion Transporter 1 as a d-Luciferin Transporter Katsuhisa Inoue, Koki Sugiyama, and Takahito Furuya 10. A Simple Bioluminescent Assay for the Screening of Cytotoxic Molecules against the Intracellular Form of Leishmania infantum Diego Benítez, Andrea Medeiros, Cristina Quiroga, and Marcelo A. Comini 11. A Simple, Robust, and Affordable Bioluminescent Assay for Drug Screening against Infective African Trypanosomes Estefania Dibello, Marcelo A. Comini, and Diego Benítez 12. Imaging of Autonomous Bioluminescence Emission from Single Mammalian Cells Carola Gregor 13. Rapid Single-Cell Detection of Beer-contaminating Lactic Acid Bacteria Using Bioluminescence/Rapid Microbe Detection Toshihiro Takahashi and Yasukazu Nakakita 14. Bioluminescence of Aliivibrio fischeri in Artificial Seawater and Its Application in Fungicide Sensing Hitomi Kuwahara and Hiroshi Morita 15. A Bioluminescence Reporter Assay for Retinoic Acid Control of Translation of the GluR1 Subunit of the AMPA Glutamate Receptor Thabat Khatib, Berndt Müller, and Peter McCaffery 16. Design of an Intron-Retained Bioluminescence Reporter and Its Application in Imaging of Pre-mRNA Splicing in Living Subjects Fu Wang, Si Chen, Haifeng Zheng, and Bin Guo 17. Generation of Bi-Reporter Expressing Tri-Segmented Arenavirus Chengjin Ye and Luis Martinez-Sobrido 18. Bioluminescent and Fluorescent Reporter-Expressing Recombinant SARS-CoV-2 Desarey Morales Vasquez, Kevin Chiem, Chengjin Ye, and Luis Martinez-Sobrido 19. Generation, Characterization, and Applications of Influenza A Reporter Viruses Kevin Chiem, Aitor Nogales, and Luis Martinez-Sobrido Part III: Basic In Vivo Applications 20. Optimized Aequorin Reconstitution Protocol to Visualize Calcium Ion Transients in the Heart of Transgenic Zebrafish Embryos In Vivo Manuel Vicente, Jussep Salgado-Almario, Antonio Martínez-Sielva, Juan Llopis, and Beatriz Domingo 21. Quantification and Imaging of Exosomes via Luciferase-Fused Exosome Marker Proteins: ExoLuc System Tomoya Hikita and Chitose Oneyama 22. Bioluminescent Tracking of Human Induced Pluripotent Stem Cells In Vitro and In Vivo Toshinobu Nishimura, Kouta Niizuma, and Hiromitsu Nakauchi 23. Noninvasive In Vivo Tracking of Mammalian Cells Stably Expressing Firefly Luciferase Yang Bi, Nannan Zhang, and Yun He 24. Bioluminescence Imaging for Evaluation of Antitumor Effect In Vitro and In Vivo in Mice Xenografted Tumor Models Kazuhide Sato 25. Detection of Spontaneous Bone Metastases of Solid Human Tumor Xenografts in Mice Vera Labitzky, Ursula Valentiner, and Tobias Lange 26. In Vivo Imaging Analysis of an Inner Ear Drug Delivery in Mice: Comparison of Inner Ear Drug Concentrations Over Time Sho Kanzaki, Shinsuke Shibata, Masaya Nakamura, Masahiro Ozaki, and Hideyuki Okano 27. Protocols for the Evaluation of a Lymphatic Drug Delivery System Combined with Bioluminescence to Treat Metastatic Lymph Nodes Ariunbuyan Sukhbaatar and Tetsuya Kodama 28. In Vivo Bioluminescent Imaging of Rabies Virus Infection and Evaluation of Antiviral Drug Kentaro Yamada and Akira Nishizono 29. Imaging Infection by Vector-Borne Protozoan Parasites Using Whole-Mouse Bioluminescence Mónica Sá, David Mendes Costa, and Joana Tavares 30. Longitudinal Tracing of Lyssavirus Infection in Mice via In Vivo Bioluminescence Imaging Kate E. Mastraccio, Celeste Huaman, Eric D. Laing, Christopher C. Broder, and Brian C. Schaefer Part IV: Multiplex Imaging Platforms 31. Dual-Luciferase-Based Fast and Sensitive Detection of Malaria Hypnozoites for the Discovery of Anti-Relapse Compounds Annemarie M. Voorberg-van der Wel, Anne-Marie Zeeman, Ivonne G. Nieuwenhuis, Nicole M. van der Werff, and Clemens H. M. Kocken 32. Synthetic Assembly DNA Cloning of Multiplex Hextuple Luciferase Reporter Plasmids Alejandro Sarrion-Perdigones, Yezabel Gonzalez, and Koen J.T. Venken 33. Multiplex Hextuple Luciferase Assaying Alejandro Sarrion-Perdigones, Yezabel Gonzalez, Lyra Chang, Tatiana Gallego-Flores, Damian W. Young, and Koen J.T. Venken 34. Molecular Imaging of Tumor Progression and Angiogenesis by Dual Bioluminescence Yue Liu, Ziyu Huang, and Zongjin Li

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  • Neuromuscular Assessments of Form and Function

    Springer-Verlag New York Inc. Neuromuscular Assessments of Form and Function

    1 in stock

    Book SynopsisThis volume looks at the latest methods used to study imaging techniques, metabolic tracing, and deep muscle phenotyping. Comprehensive and thorough, Neuromuscular Assessments of Form and Function is a valuable resource for researchers interested in multiple methods used to study skeletal muscle neurophysiology.Table of ContentsSeries Preface…Preface…Table of Contents…Contributing Authors…1. Estimation of Lean Soft Tissue by Dual-Energy X-Ray Absorptiometry as a Surrogate for Muscle Mass in Health, Obesity, and SarcopeniaCamila L. P. Oliveira, Ana P. Pagano, M. Cristina Gonzalez, and Carla M. Prado2. Analysis of Skeletal Muscle Mass from Pre-Existing Computed Tomography (CT) ScansKatherine L. Ford, Bruna Ramos da Silva, Ana Teresa Limon-Miro, and Carla M. Prado3. Imaging Skeletal Muscle by Magnetic Resonance Imaging (MRI)Robert H. Morris and Craig Sale4. Imaging of Skeletal Muscle Mass: UltrasoundMartino V. Franchi and Marco V. Narici5. Measures of Neuromuscular FunctionMichael D. Roberts and Jason M. Defreitas6. Neuromuscular Function: High-Density Surface ElectromyographyEduardo Martinez-Valdes and Francesco Negro7. Neuromuscular Function: Intramuscular Electromyography Mathew Piasecki and Daniel W. Stashuk8. Magnetic Resonance Quantification of Muscle Phosphocreatine Resynthesis Kinetics during Exercise Recovery: An In Vivo Measure of Mitochondrial Function in HumansJordan J. McGing, Susan T. Francis, Sébastien Serres, Gordon W. Moran, and Paul L. Greenhaff9. Immunohistochemistry, Microscopy, and Image Analysis of Human Muscle Biopsies: Muscle Fibre Denervation as a Working ExampleCasper Soendenbroe, Jesper L. Andersen, and Abigail L. Mackey10. Stable Isotope Tracer Methods for the Measure of Skeletal Muscle Protein TurnoverMatthew S. Brook, Daniel J. Wilkinson, and Ken Smith 11. Ex Vivo Human Single Muscle Fibers: An Insightful Approach to Skeletal Muscle FunctionCarlo Reggiani12. Myokines, Measurement, and Technical ConsiderationsCraig R. G. Willis, Colleen S. Deane, and Timothy Etheridge13. Skeletal Muscle Satellite Cell Physiology and Function: Complimentary In Vitro and In Vivo Models and MethodsMark Viggars, Andy Nolan, Adam Sharples, and Claire Stewart14. Using the Model Organism Caenorhabditis elegans to Explore Neuromuscular FunctionSamantha Hughes and Nathaniel Szewczyk15. Methodologies to Quantify Skeletal Muscle Blood Flow/PerfusionEleanor J. Jones and Bethan E. PhillipsSubject Index List…

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    £179.99

  • Imaging Mass Spectrometry

    Springer-Verlag New York Inc. Imaging Mass Spectrometry

    1 in stock

    Book SynopsisThis second edition details new and updated chapters on key methodologies and breakthroughs in the mass spectrometry imaging (MSI) field. Chapters guide readers through nano-Desorption Electrospray Ionisation (nDESI), Matrix Assisted Laser Desorption Ionisation-2 (MALDI-2), Laser Ablation - Inductively Coupled Plasma-Mass Spectrometry (LA-ICP-MS) ,Imaging Mass Cytometry (IMC) with a variety of diverse samples including eye tissue, crop analysis, 3D cell culture models, and counterfeit goods analysis. Written in the format of the highly successfulMethods in Molecular Biologyseries, each chapter includes an introduction to the topic, lists necessary materials and reagents, includes tips on troubleshooting and known pitfalls, and step-by-step, readily reproducible protocols. Authoritative and cutting-edge,Imaging Mass Spectrometry: Methods and Protocols, Second Edition aims to be auseful and practical guide to new researchersand experts looking to expand their knowledge.Table of Contents1. MALDI and Trace Metal Analysis in Age Related Macular Degeneration Joshua Millar, Susan Campbell, Catherine Duckett, Sarah Doyle, and Laura M. Cole 2. HistoSnap: a novel software tool to extract m/z-specific images from large MSHC datasets K. Verheggen, N. Bhattacharya, M. Verhaert, B. Goossens, R. Sciot, and P. Verhaert 3. Spatially resolved quantitation of drug in skin equivalents using Mass Spectrometry Imaging (MSI) Cristina Russo and Malcolm R. Clench 4. Update DESI Mass Spectrometry Imaging (MSI) Emmanuelle Claude, Mark Towers, and Emrys Jones 5. Update Liquid Extraction Surface Analysis Mass Spectrometry Imaging of Denatured Intact Proteins Emma K. Sisley, James W. Hughes, Oliver J. Hale, and Helen J. Cooper 6. MALDI MS imaging of cucumbers Robert Bradshaw 7. The adaptation of the QV600 LLI Milli-Fluidics System to house ex vivo gastrointestinal tissue suitable for drug absorption and permeation studies, utilising MALDI-MSI and LC-MS/MS Chloe E. Spencer, Catherine J Duckett, Stephen Rumbelow, and Malcolm R Clench 8. Ambient Mass Spectrometry Imaging by Water-Assisted Laser Desorption Ionization For Ex Vivo And In Vivo Applications Nina Ogrinc, Paul Chaillou, Alexandre Kruszewski, Cristian Duriez, Michel Salzet, and Isabelle Fournier 9. Cytological cytospin preparation for the spatial proteomics analysis of thyroid nodules using MALDI-MSI Isabella Piga, Fabio Pagni, Fulvio Magni, and Andrew Smith 10. Matrix effects free imaging of thin tissue sections using pneumatically assisted nano-DESI MSI Leonidas Mavroudakis and Ingela Lanekoff 11. Laser Ablation Inductively Coupled Plasma Mass Spectrometry Imaging of Plant Materials Joseph Ready and Callie Seaman 12. Sample Preparation for Metabolite Detection in Mass Spectrometry Imaging Maria K. Andersen, Marco Giampà, Elise Midtbust, Therese S. Høiem, Sebastian Krossa, and May-Britt Tessem 13. Multimodal Mass Spectrometry Imaging of an Aggregated 3D Cell Culture Model Lucy Flint 14. Visualization of Small Intact Proteins in Breast Cancer FFPE tissue Marco Giampà, Maria K. Andersen, Sebastian Krossa, Vanna Denti, Andrew Smith, and Siver Andreas Moestue 15. Negative Ion-mode N-glycan Mass Spectrometry Imaging by MALDI-2-TOF-MS Jens Soltwisch and Bram Heijs 16. MS1-based data analysis approaches for FFPE tissue imaging of endogenous peptide ions by mass spectrometry histochemistry (MSHC) Nivedita Bhattacharya, Konstantin Nagornov, Kenneth Verheggen, Marthe Verhaert, Raf Sciot, and Peter Verhaert 17. Mass Spectrometry Imaging: The Next Five Years Malcolm R. Clench and Laura M. Cole

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  • Metal Forming Mechanics And Metallurgy

    Cambridge University Press Metal Forming Mechanics And Metallurgy

    15 in stock

    Book SynopsisThis new book helps the engineer understand the principles of metal forming and analyze forming problems - both the mechanics of forming processes and how the properties of metals affect the processes. Interesting end-of-chapter notes have been added throughout, as well as references. More than 200 end-of-chapter problems are also included.Trade Review"very good coverage of the principles of mechanical metallurgy...Recommended." - CHOICETable of Contents1. Stress and strain; 2. Plasticity; 3. Strain hardening; 4. Plastic instability; 5. Temperature and strain-rate dependence; 6. Work balance; 7. Slab analysis and friction; 8. Friction and lubrication; 9. Upper-bound analysis; 10. Slip-line field analysis; 11. Deformation zone geometry; 12. Formability; 13. Bending; 14. Plastic anisotropy; 15. Cupping, redrawing and ironing; 16. Forming limit diagrams; 17. Stamping; 18. Hydroforming; 19. Other sheet forming operations; 20. Formability tests; 21. Sheet metal properties.

    15 in stock

    £75.99

  • Modeling and Estimation of Structural Damage

    John Wiley & Sons Inc Modeling and Estimation of Structural Damage

    2 in stock

    Book SynopsisModelling and Estimation of Damage in Structures is a comprehensiveguide to solving the type of modelling and estimation problems associated with the physics of structural damage.Table of ContentsPreface xi 1 Introduction 1 1.1 Users' Guide 1 1.2 Modeling and Estimation Overview 2 1.3 Motivation 4 1.4 Structural Health Monitoring 7 1.4.1 Data-Driven Approaches 10 1.4.2 Physics-Based Approach 14 1.5 Organization and Scope 17 2 Probability 21 2.1 Probability Basics 23 2.2 Probability Distributions 25 2.3 Multivariate Distributions, Conditional Probability, and Independence 28 2.4 Functions of Random Variables 32 2.5 Expectations and Moments 39 2.6 Moment-Generating Functions and Cumulants 43 3 Random Processes 51 3.1 Properties of a Random Process 54 3.2 Stationarity 57 3.3 Spectral Analysis 61 3.3.1 Spectral Representation of Deterministic Signals 62 3.3.2 Spectral Representation of Stochastic Signals 65 3.3.3 Power Spectral Density 67 3.3.4 Relationship to Correlation Functions 71 3.3.5 Higher Order Spectra 74 3.4 Markov Models 81 3.5 Information Theoretics 82 3.5.1 Mutual Information 85 3.5.2 Transfer Entropy 87 3.6 Random Process Models for Structural Response Data 91 4 Modeling in Structural Dynamics 95 4.1 Why Build Mathematical Models? 96 4.2 Good Versus Bad Models – An Example 97 4.3 Elements of Modeling 99 4.3.1 Newton's Laws 101 4.3.2 Background to Variational Methods 101 4.3.3 Variational Mechanics 103 4.3.4 Lagrange's Equations 105 4.3.5 Hamilton's Principle 108 4.4 Common Challenges 114 4.4.1 Impact Problems 114 4.4.2 Stress Singularities and Cracking 117 4.5 Solution Techniques 119 4.5.1 Analytical Techniques I – Ordinary Differential Equations 119 4.5.2 Analytical Techniques II – Partial Differential Equations 128 4.5.3 Local Discretizations 131 4.5.4 Global Discretizations 132 4.6 Volterra Series for Nonlinear Systems 133 5 Physics-Based Model Examples 143 5.1 Imperfection Modeling in Plates 143 5.1.1 Cracks as Imperfections 143 5.1.2 Boundary Imperfections: In-Plane Slippage 145 5.2 Delamination in a Composite Beam 151 5.3 Bolted Joint Degradation: Quasi-static Approach 160 5.3.1 The Model 161 5.3.2 Experimental System and Procedure 164 5.3.3 Results and Discussion 166 5.4 Bolted Joint Degradation: Dynamic Approach 172 5.5 Corrosion Damage 178 5.6 Beam on a Tensionless Foundation 182 5.6.1 Equilibrium Equations and Their Solutions 184 5.6.2 Boundary Conditions 185 5.6.3 Results 187 5.7 Cracked, Axially Moving Wires 189 5.7.1 Some Useful Concepts from Fracture Mechanics 191 5.7.2 The Effect of a Crack on the Local Stiffness 193 5.7.3 Limitations 194 5.7.4 Equations of Motion 196 5.7.5 Natural Frequencies and Stability 198 5.7.6 Results 198 6 Estimating Statistical Properties of Structural Response Data 203 6.1 Estimator Bias and Variance 206 6.2 Method of Maximum Likelihood 209 6.3 Ergodicity 213 6.4 Power Spectral Density and Correlation Functions for LTI Systems 218 6.4.1 Estimation of Power Spectral Density 218 6.4.2 Estimation of Correlation Functions 234 6.5 Estimating Higher Order Spectra 240 6.5.1 Coherence Functions 246 6.5.2 Bispectral Density Estimation 248 6.5.3 Analytical Bicoherence for Non-Gaussian Signals 257 6.5.4 Trispectral Density Function 264 6.6 Estimation of Information Theoretics 275 6.7 Generating Random Processes 284 6.7.1 Review of Basic Concepts 285 6.7.2 Data with a Known Covariance and Gaussian Marginal PDF 287 6.7.3 Data with a Known Covariance and Arbitrary Marginal PDF 290 6.7.4 Examples 295 6.8 Stationarity Testing 302 6.8.1 Reverse Arrangement Test 304 6.8.2 Evolutionary Spectral Testing 306 6.9 Hypothesis Testing and Intervals of Confidence 312 6.9.1 Detection Strategies 313 6.9.2 Detector Performance 319 6.9.3 Intervals of Confidence 327 7 Parameter Estimation for Structural Systems 333 7.1 Method of Maximum Likelihood 336 7.1.1 Linear Least Squares 338 7.1.2 Finite Element Model Updating 341 7.1.3 Modified Differential Evolution for Obtaining MLEs 344 7.1.4 Structural Damage MLE Example 347 7.1.5 Estimating Time of Flight for Ultrasonic Applications 352 7.2 Bayesian Estimation 363 7.2.1 Conjugacy 365 7.2.2 Using Conjugacy to Assess Algorithm Performance 366 7.2.3 Markov Chain Monte Carlo (MCMC) Methods 374 7.2.4 Gibbs Sampling 379 7.2.5 Conditional Conjugacy: Sampling the Noise Variance 380 7.2.6 Beam Example Revisited 383 7.2.7 Population-Based MCMC 386 7.3 Multimodel Inference 392 7.3.1 Model Comparison via AIC 392 7.3.2 Reversible Jump MCMC 397 8 Detecting Damage-Induced Nonlinearity 403 8.1 Capturing Nonlinearity 407 8.1.1 Higher Order Cumulants 408 8.1.2 Higher Order Spectral Coefficients 410 8.1.3 Nonlinear Prediction Error 412 8.1.4 Information Theoretics 414 8.2 Bolted Joint Revisited 415 8.2.1 Composite Joint Experiment 415 8.2.2 Kurtosis Results 417 8.2.3 Spectral Results 419 8.3 Bispectral Detection: The Single Degree-of-Freedom (SDOF), Gaussian Case 421 8.3.1 Bispectral Detection Statistic 422 8.3.2 Test Statistic Distribution 423 8.3.3 Detector Performance 425 8.4 Bispectral Detection: the General Multi-Degree-of-Freedom (MDOF) Case 429 8.4.1 Bicoherence Detection Statistic Distribution 433 8.4.2 Which Bicoherence to Compute? 434 8.4.3 Optimal Input Probability Distribution for Detection 436 8.5 Application of the HOS to Delamination Detection 438 8.6 Method of Surrogate Data 444 8.6.1 Fourier Transform-Based Surrogates 446 8.6.2 AAFT Surrogates 448 8.6.3 IAFFT Surrogates 449 8.6.4 DFT Surrogates 450 8.7 Numerical Surrogate Examples 451 8.7.1 Detection of Bilinear Stiffness 451 8.7.2 Detecting Cubic Stiffness 456 8.7.3 Surrogate Invariance to Ambient Variation 461 8.8 Surrogate Experiments 464 8.8.1 Detection of Rotor – Stator Rub 465 8.8.2 Bolted Joint Degradation with Ocean Wave Excitation 467 8.9 Surrogates for Nonstationary Data 475 8.10 Chapter Summary 476 9 Damage Identification 481 9.1 Modeling and Identification of Imperfections in Shell Structures 481 9.1.1 Modeling of Submerged Shell Structures 482 9.1.2 Non-Contact Results Using Maximum Likelihood 487 9.1.3 Bayesian Identification of Dents 492 9.2 Modeling and Identification of Delamination 501 9.3 Modeling and Identification of Cracked Structures 508 9.3.1 Cracked Plate Model 508 9.3.2 Crack Parameter Identification 510 9.3.3 Optimization of Sensor Placement 523 9.4 Modeling and Identification of Corrosion 527 9.4.1 Experimental Setup 530 9.4.2 Results and Discussion 532 9.5 Chapter Summary 538 10 Decision Making in Condition-Based Maintenance 543 10.1 Structured Decision Making 544 10.2 Example: Ship in Transit 545 10.2.1 Loading Data 547 10.2.2 Ship "Stringer" Model 552 10.2.3 Cumulative Fatigue Model 559 10.3 Optimal Transit 562 10.3.1 Problem Statement 562 10.3.2 Solutions via Dynamic Programming 563 10.3.3 Transit Examples 565 10.4 Summary 568 Appendix A Useful Constants and Probability Distributions 571 Appendix B Contour Integration of Spectral Density Functions 575 Appendix C Derivation of Terms for the Trispectrum of an MDOF Nonlinear Structure 581 C.1 Simplification of CVIII pijk (τ1, τ2, τ3) 582 C.2 Submanifold Terms in the Trispectrum 583 C.3 Complete Trispectrum Expression 585 Index 587

    2 in stock

    £89.06

  • Structural Reliability Analysis and Prediction

    John Wiley & Sons Inc Structural Reliability Analysis and Prediction

    15 in stock

    Book SynopsisStructural Reliability Analysis and Prediction, Third Edition is a textbook which addresses the important issue of predicting the safety of structures at the design stage and also the safety of existing, perhaps deteriorating structures. Attention is focused on the development and definition of limit states such as serviceability and ultimate strength, the definition of failure and the various models which might be used to describe strength and loading. This book emphasises concepts and applications, built up from basic principles and avoids undue mathematical rigour. It presents an accessible and unified account of the theory and techniques for the analysis of the reliability of engineering structures using probability theory. This new edition has been updated to cover new developments and applications and a new chapter is included which covers structural optimization in the context of reliability analysis. New examples and end of chapter problems are also now includeTable of ContentsPreface xv Preface to the Second Edition xvii Preface to the First Edition xviii Acknowledgements xx 1 Measures of Structural Reliability 1 1.1 Introduction 1 1.2 Deterministic Measures of Limit State Violation 2 1.2.1 Factor of Safety 2 1.2.2 Load Factor 3 1.2.3 Partial Factor (‘Limit State Design’) 4 1.2.4 A Deficiency in Some Safety Measures: Lack of Invariance 5 1.2.5 Invariant Safety Measures 8 1.3 A Partial Probabilistic Safety Measure of Limit State Violation—The Return Period 8 1.4 Probabilistic Measure of Limit State Violation 12 1.4.1 Introduction 12 1.4.2 The Basic Reliability Problem 14 1.4.3 Special Case: Normal Random Variables 17 1.4.4 Safety Factors and Characteristic Values 19 1.4.5 Numerical Integration of the Convolution Integral 23 1.5 Generalized Reliability Problem 24 1.5.1 Basic Variables 24 1.5.2 Generalized Limit State Equations 25 1.5.3 Generalized Reliability Problem Formulation 26 1.5.4 Conditional Reliability Problems∗ 27 1.6 Conclusion 29 2 Structural Reliability Assessment 31 2.1 Introduction 31 2.2 Uncertainties in Reliability Assessment 33 2.2.1 Identification of Uncertainties 33 2.2.2 Phenomenological Uncertainty 34 2.2.3 Decision Uncertainty 34 2.2.4 Modelling Uncertainty 34 2.2.5 Prediction Uncertainty 35 2.2.6 Physical Uncertainty 36 2.2.7 Statistical Uncertainty 36 2.2.8 Uncertainties Due to Human Factors 37 2.2.8.1 Human Error 37 2.2.8.2 Human Intervention 40 2.2.8.3 Modelling of Human Error and Intervention 43 2.2.8.4 Quality Assurance 44 2.2.8.5 Hazard Management 45 2.3 Integrated Risk Assessment 45 2.3.1 Calculation of the Probability of Failure 45 2.3.2 Analysis and Prediction 47 2.3.3 Comparison to Failure Data 48 2.3.4 Validation—a Philosophical Issue 50 2.3.5 The Tail Sensitivity ‘Problem’ 50 2.4 Criteria for Risk Acceptability 51 2.4.1 Acceptable Risk Criterion 51 2.4.1.1 Risks in Society 51 2.4.1.2 Acceptable or Tolerable Risk Levels 53 2.4.2 Socio-economic Criterion 54 2.5 Nominal Probability of Failure 56 2.5.1 General 56 2.5.2 Axiomatic Definition 56 2.5.3 Influence of Gross and Other Errors 57 2.5.4 Practical Implications 58 2.5.5 Target Values for Nominal Failure Probability 59 2.6 Hierarchy of Structural Reliability Measures 60 2.7 Conclusion 61 3 Integration and Simulation Methods 63 3.1 Introduction 63 3.2 Direct and Numerical Integration 63 3.3 Monte Carlo Simulation 65 3.3.1 Introduction 65 3.3.2 Generation of Uniformly Distributed Random Numbers 65 3.3.3 Generation of Random Variates 66 3.3.4 Direct Sampling (‘Crude’ Monte Carlo) 68 3.3.5 Number of Samples Required 69 3.3.6 Variance Reduction 72 3.3.7 Stratified and Latin Hypercube Sampling 73 3.4 Importance Sampling 73 3.4.1 Theory of Importance Sampling 73 3.4.2 Importance Sampling Functions 75 3.4.3 Observations About Importance Sampling Functions 76 3.4.4 Improved Sampling Functions 79 3.4.5 Search or Adaptive Techniques 80 3.4.6 Sensitivity 81 3.5 Directional Simulation∗ 82 3.5.1 Basic Notions 82 3.5.2 Directional Simulation with Importance Sampling 84 3.5.3 Generalized Directional Simulation 85 3.5.4 Directional Simulation in the Load Space 87 3.5.4.1 Basic Concept 87 3.5.4.2 Variation of Strength with Radial Direction 89 3.5.4.3 Line Sampling 90 3.6 Practical Aspects of Monte Carlo Simulation 90 3.6.1 Conditional Expectation 90 3.6.2 Generalized Limit State Function – Response Surfaces 91 3.6.3 Systematic Selection of Random Variables 92 3.6.4 Applications 92 3.7 Conclusion 93 4 Second-Moment and Transformation Methods 95 4.1 Introduction 95 4.2 Second-Moment Concepts 95 4.3 First-Order Second-Moment (FOSM) Theory 97 4.3.1 The Hasofer–Lind Transformation 97 4.3.2 Linear Limit State Function 98 4.3.3 Sensitivity Factors and Gradient Projection 101 4.3.4 Non-Linear Limit State Function—General Case 102 4.3.5 Non-Linear Limit State Function—Numerical Solution 106 4.3.6 Non-Linear Limit State Function—HLRF Algorithm 106 4.3.7 Geometric Interpretation of Iterative Solution Scheme 109 4.3.8 Interpretation of First-Order Second-Moment (FOSM) Theory 110 4.3.9 General Limit State Functions—Probability Bounds 112 4.4 The First-Order Reliability (FOR) Method 112 4.4.1 Simple Transformations 112 4.4.2 The Normal Tail Transformation 114 4.4.3 Transformations to Independent Normal Basic Variables 116 4.4.3.1 Rosenblatt Transformation 117 4.4.3.2 Nataf Transformation 118 4.4.4 Algorithm for First-Order Reliability (FOR) Method 121 4.4.5 Observations 124 4.4.6 Asymptotic Formulation 125 4.5 Second-Order Reliability (SOR) Methods 126 4.5.1 Basic Concept 126 4.5.2 Evaluation Through Sampling 126 4.5.3 Evaluation Through Asymptotic Approximation 127 4.6 Application of FOSM/FOR/SOR Methods 128 4.7 Mean Value Methods 129 4.8 Conclusion 130 5 Reliability of Structural Systems 131 5.1 Introduction 131 5.2 Systems Reliability Fundamentals 132 5.2.1 Structural System Modelling 132 5.2.1.1 Load Modelling 132 5.2.1.2 Material Modelling 133 5.2.1.3 System Modelling 135 5.2.2 Solution Approaches 136 5.2.2.1 Failure Mode Approach 136 5.2.2.2 Survival Mode Approach 137 5.2.2.3 Upper and Lower Bounds—Plastic Theory 138 5.2.3 Idealizations of Structural Systems 139 5.2.3.1 Series Systems 139 5.2.3.2 Parallel Systems—General 141 5.2.3.3 Parallel Systems—Ideal Plastic 143 5.2.3.4 Combined and Conditional Systems 146 5.3 Monte Carlo Techniques for Systems 147 5.3.1 General Remarks 147 5.3.2 Importance Sampling 147 5.3.2.1 Series Systems 147 5.3.2.2 Parallel Systems 149 5.3.2.3 Search-Type Approaches in Importance Sampling 150 5.3.2.4 Failure Modes Identification in Importance Sampling 151 5.3.3 Directional Simulation 151 5.3.4 Directional Simulation in the Load Space 151 5.4 System Reliability Bounds 153 5.4.1 First-Order Series Bounds 153 5.4.2 Second-Order Series Bounds 154 5.4.3 Second-Order Series Bounds by Loading Sequences 157 5.4.4 Series Bounds by Modes and Loading Sequences 158 5.4.5 Improved Series Bounds and Parallel System Bounds 158 5.4.6 First-Order Second-Moment Method in Systems Reliability 159 5.4.7 Correlation Effects 164 5.4.8 Bounds by Matrix Operations and Linear Programming* 164 5.5 Implicit Limit States 168 5.5.1 Introduction 168 5.5.2 Response Surfaces 169 5.5.2.1 Basics of Response Surfaces 169 5.5.2.2 Fitting the Response Surface 170 5.5.3 Applications of Response Surfaces 172 5.5.4 Other Techniques for Obtaining Surrogate Limit States 173 5.6 Functionally Dependent Limit States 173 5.6.1 Effect of Order of Loading 173 5.6.2 Failure Mode Enumeration and Reduction 174 5.6.3 Reduction of Number of Limit States—Truncation 175 5.6.4 Applications 176 5.7 Conclusion 177 6 Time-Dependent Reliability 179 6.1 Introduction 179 6.2 Time-Integrated Approach 182 6.2.1 Basic Notions 182 6.2.2 Conversion to a Time-Independent Format* 184 6.3 Discretized Approach 185 6.3.1 Known Number of Discrete Events 185 6.3.2 Random Number of Discrete Events 187 6.3.3 Return Period 188 6.3.4 Hazard Function 189 6.4 Stochastic Process Theory 191 6.4.1 Stochastic Process 191 6.4.2 Stationary Processes 192 6.4.3 Derivative Process 193 6.4.4 Ergodic Processes 194 6.4.5 First-Passage Probability 194 6.4.6 Distribution of Local Maxima 196 6.5 Stochastic Processes and Outcrossings 196 6.5.1 Discrete Processes 196 6.5.1.1 Borges Processes 196 6.5.1.2 Poisson Counting Process 197 6.5.1.3 Filtered Poisson process 198 6.5.1.4 Poisson Spike Process 199 6.5.1.5 Poisson Square Wave Process 200 6.5.1.6 Renewal Processes 201 6.5.2 Continuous Processes 202 6.5.3 Barrier (or Level) Upcrossing Rate 202 6.5.4 Outcrossing Rate 205 6.5.4.1 Generalization from Barrier Crossing Rate 205 6.5.4.2 Outcrossings for Discrete Processes 207 6.5.4.3 Outcrossings for Continuous Gaussian Processes 209 6.5.4.4 General Regions and Processes 213 6.5.5 Numerical Evaluation of Outcrossing Rates 214 6.6 Time-Dependent Reliability 215 6.6.1 Introduction 215 6.6.2 Sampling Methods for Unconditional Failure Probability 216 6.6.2.1 Importance and Conditional Sampling 216 6.6.2.2 Directional Simulation in the Load Process Space 217 6.6.3 FOSM/FOR Methods for Unconditional Failure Probability 218 6.6.4 Summary for Time-Dependent Reliability Estimation 225 6.7 Load Combinations 226 6.7.1 Introduction 226 6.7.2 General Formulation 226 6.7.3 Discrete Processes 228 6.7.4 Simplifications 230 6.7.4.1 Load Coincidence Method 230 6.7.4.2 Borges Processes 231 6.7.4.3 Deterministic Load Combination—Turkstra’s Rule 233 6.8 Ensemble Crossing Rate and Barrier Failure Dominance 234 6.8.1 Introduction 234 6.8.2 Ensemble Crossing Rate Approximation 234 6.8.3 Application to Turkstra’s Rule and the Point Crossing Formula 235 6.8.4 Barrier Failure Dominance 236 6.8.5 Validity 237 6.9 Dynamic Analysis of Structures 237 6.9.1 Introduction 237 6.9.2 Frequency Domain Analysis 238 6.9.3 Reliability Analysis 240 6.10 Fatigue Analysis 241 6.10.1 General Formulation 241 6.10.2 The S-N Model 242 6.10.3 Fracture Mechanics Models 243 6.11 Conclusion 244 7 Load and Load Effect Modelling 247 7.1 Introduction 247 7.2 Wind Loading 248 7.3 Wave Loading 252 7.4 Floor Loading 255 7.4.1 General 255 7.4.2 Sustained Load Representation 256 7.4.3 Equivalent Uniformly Distributed Load 260 7.4.4 Distribution of Equivalent Uniformly Distributed Load 263 7.4.5 Maximum (Lifetime) Sustained Load 265 7.4.6 Extraordinary Live Loads 267 7.4.7 Total Live Load 268 7.4.8 Permanent and Construction Loads 269 7.5 Conclusion 271 8 Resistance Modelling 273 8.1 Introduction 273 8.2 Basic Properties of Hot-Rolled Steel Members 273 8.2.1 Steel Material Properties 273 8.2.2 Yield Strength 274 8.2.3 Moduli of Elasticity 277 8.2.4 Strain-Hardening Properties 278 8.2.5 Size Variation 278 8.2.6 Properties for Reliability Assessment 279 8.3 Properties of Steel Reinforcing Bars 280 8.4 Concrete Statistical Properties 281 8.5 Statistical Properties of Structural Members 284 8.5.1 Introduction 284 8.5.2 Methods of Analysis 284 8.5.3 Second-moment Analysis 284 8.5.4 Simulation 287 8.6 Connections 290 8.7 Incorporation of Member Strength in Design 290 8.8 Conclusion 292 9 Codes and Structural Reliability 293 9.1 Introduction 293 9.2 Structural Design Codes 294 9.3 Safety-Checking Formats 296 9.3.1 Probability-Based Code Rules 296 9.3.2 Partial Factors Code Format 297 9.3.3 Simplified Partial Factors Code Format 299 9.3.4 Load and Resistance Factor Code Format 300 9.3.5 Some Observations 300 9.4 Relationship Between Level 1 and Level 2 Safety Measures 301 9.4.1 Derivation from FOSM / FOR Theory 302 9.4.2 Special Case: Linear Limit State Function 303 9.5 Selection of Code Safety Levels 304 9.6 Code Calibration Procedure 305 9.7 Example of Code Calibration 310 9.8 Observations 315 9.8.1 Applications 315 9.8.2 Some Theoretical Issues 316 9.9 Performance-Based Design 317 9.10 Conclusion 319 10 Probabilistic Evaluation of Existing Structures 321 10.1 Introduction 321 10.2 Assessment Procedures 323 10.2.1 Overall Procedure 323 10.2.2 Service-Proven Structures 325 10.2.3 Proof Loading 326 10.3 Updating Probabilistic Information 327 10.3.1 Bayes Theorem 327 10.3.2 Updating Failure Probabilities for Proof Loads 328 10.3.3 Updating Probability Density Functions 328 10.3.4 Pre-Posterior Analysis 332 10.4 Analytical Assessment 333 10.4.1 General 333 10.4.2 Models for Deterioration 334 10.5 Acceptance Criteria for Existing Structures 338 10.5.1 Nominal Probabilities 338 10.5.2 Semi-Probabilistic Safety Checking Formats 339 10.5.3 Probabilistic Criteria 340 10.5.4 Decision-Theory-Based Criteria 340 10.5.5 Life-Cycle Decision Approach 342 10.6 Conclusion 343 11 Structural Optimization and Reliability 345 11.1 Introduction 345 11.2 Types of Reliability-based Optimization Problems 346 11.2.1 Introduction 346 11.2.2 Deterministic Design Optimization (DDO) 347 11.2.2.1 Formulation 347 11.2.2.2 Example of DDO Using FOSM 348 11.2.3 Reliability-Based Design Optimization (RBDO) 349 11.2.3.1 Formulation 349 11.2.3.2 Example of RBDO using FOSM 350 11.2.4 Life-Cycle Cost and Risk Optimization (LCRO) 351 11.2.4.1 Formulation 351 11.2.4.2 Example of LCRO using FOSM 352 11.2.5 Comparison, Summary and Outlook 353 11.3 Reliability Based Design Optimization (RBDO) Using First Order Reliability (FOR) 354 11.3.1 Introduction 354 11.3.2 Alternative Robust Solutions Schemes 354 11.3.3 Comparison Between RIA and PMA Solution Schemes 357 11.3.4 Solution of Nested Optimization Problems 358 11.3.5 Example of RBDO Using RIA and PMA 358 11.3.6 Decoupling Techniques for Solving RBDO Problems 361 11.3.6.1 Decoupling: Serial Single Loop Methods 361 11.3.6.2 Decoupling: Uni-level Methods 361 11.3.6.3 Sequential Approximate Programming (SAP) 361 11.4 RBDO with System Reliability Constraints 362 11.4.1 Formulation of System RBDO 362 11.4.2 Structural Systems RBDO with Component Reliability Constraints 363 11.4.3 Structural System RBDO—solution Schemes 363 11.5 Simulation-based Design Optimization 363 11.5.1 Introduction 363 11.5.2 Problem Formulation 364 11.5.3 Remarks About Solutions 365 11.6 Life-cycle Cost and Risk Optimization 367 11.6.1 Introduction 367 11.6.2 Optimal Structural Design Under Stochastic Loads 367 11.6.3 Optimal Structural Design Considering Inspections and Maintenance 368 11.7 Discussion and Conclusion 368 A Summary of Probability Theory 371 A.1 Probability 371 A.2 Mathematics of Probability 371 A.2.1 Axioms 371 A.2.2 Derived Results 372 A.2.2.1 Multiplication Rule 372 A.2.2.2 Complementary Probability 372 A.2.2.3 Conditional Probability 372 A.2.2.4 Total Probability Theorem 372 A.2.2.5 Bayes’ Theoremx 372 A.3 Description of Random Variables 373 A.4 Moments of Random Variables 373 A.4.1 Mean or Expected Value (First Moment) 373 A.4.2 Variance and Standard Deviation (Second Moment) 374 A.4.3 Bounds on the Deviations from the Mean 374 A.4.4 Skewness 𝛾1 (Third Moment) 374 A.4.5 Coefficient 𝛾2 of Kurtosis (Fourth Moment) 375 A.4.6 Higher Moments 375 A.5 Common Univariate Probability Distributions 375 A.5.1 Binomial B(n, p) 375 A.5.2 Geometric G(p) 376 A.5.3 Negative Binomial NB(k, p) 376 A.5.4 Poisson PN(𝜈t) 377 A.5.5 Exponential EX(𝜈) 377 A.5.6 Gamma GM(k, 𝜈) [and Chi-squared 𝜒2(n)] 378 A.5.7 Normal (Gaussian) N(𝜇, 𝜎) 379 A.5.8 Central Limit Theorem 381 A.5.9 Lognormal LN(𝜆, 𝜀) 381 A.5.10 Beta BT(a, b, q, r) 383 A.5.11 Extreme Value Distribution Type I EV – I(𝜇, 𝛼) [Gumbel distribution] 385 A.5.12 Extreme Value Distribution Type II EV - II(u, k) [Frechet Distribution] 386 A.5.13 Extreme Value Distribution Type III EV - III(𝜀, u, k) [Weibull] 388 A.5.14 Generalized Extreme Value distribution GEV 390 A.6 Jointly Distributed Random Variables 390 A.6.1 Joint Probability Distribution 390 A.6.2 Conditional Probability Distributions 391 A.6.3 Marginal Probability Distributions 391 A.7 Moments of Jointly Distributed Random Variables 392 A.7.1 Mean 392 A.7.2 Variance 393 A.7.3 Covariance and Correlation 393 A.8 Bivariate Normal Distribution 393 A.9 Transformation of Random Variables 397 A.9.1 Transformation of a Single Random Variable 397 A.9.2 Transformation of Two or More Random Variables 397 A.9.3 Linear and Orthogonal Transformations 398 A.10 Functions of Random Variables 398 A.10.1 Function of a Single Random Variable 398 A.10.2 Function of Two or More Random Variables 398 A.10.3 Some Special Results 399 A.10.3.1 Y = X1 + X2 399 A.10.3.2 Y = X1X2 399 A.11 Moments of Functions of Random Variables 400 A.11.1 Linear Functions 400 A.11.2 Product of Variates 400 A.11.3 Division of Variates 401 A.11.4 Moments of a Square Root [Haugen, 1968] 401 A.11.5 Moments of a Quadratic Form [Haugen, 1968] 402 A.12 Approximate Moments for General Functions 402 B Rosenblatt and Other Transformations 403 B.1 Rosenblatt Transformation 403 B.2 Nataf Transformation 405 B.3 Orthogonal Transformation of Normal Random Variables 407 B.4 Generation of Dependent Random Vectors 410 C Bivariate and Multivariate Normal Integrals 415 C.1 Bivariate Normal Integral 415 C.1.1 Format 415 C.1.2 Reductions of Form 417 C.1.3 Bounds 417 C.2 Multivariate Normal Integral 419 C.2.1 Format 419 C.2.2 Numerical Integration of Multi-Normal Integrals 419 C.2.3 Reduction to a Single Integral 420 C.2.4 Bounds on the Multivariate Normal Integral 420 C.2.5 First-Order Multi-Normal (FOMN) Approach 421 C.2.5.1 Basic Method: B-FOMN 421 C.2.5.2 Improved Method: I-FOMN 424 C.2.5.3 Generalized Method: G-FOMN 425 C.2.6 Product of Conditional Marginals (PCM) Approach 426 D Complementary Standard Normal Table 429 D.1 Standard Normal Probability Density Function 𝜙(x) 432 E Random Numbers 433 F Selected Problems 435 References 457 Index497

    15 in stock

    £76.46

  • Dynamic Response of Advanced Ceramics

    John Wiley & Sons Inc Dynamic Response of Advanced Ceramics

    15 in stock

    Book SynopsisDynamic Response of Advanced Ceramics Discover fundamental concepts and recent advances in experimental, analytical, and computational research into the dynamic behavior of ceramicsIn Dynamic Response of Advanced Ceramics, an accomplished team of internationally renowned researchers delivers a comprehensive exploration of foundational and advanced concepts in experimental, analytical, and computational aspects of the dynamic behavior of advanced structural ceramics and transparent materials. The book discusses new techniques used for determination of dynamic hardness and dynamic fracture toughness, as well as edge-on-impact experiments for imaging evolving damage patterns at high impact velocities. The authors also include descriptions of the dynamic deformation behavior of icosahedral ceramics and the dynamic behavior of several transparent materials, like chemically strengthened glass and glass ceramics. The developments discussed within the book have applications in everything froTable of ContentsChapter 1: A Brief History of Ceramic Materials And Introduction To Their Dynamic Behavior Chapter 2: High-Strain-Rate Experimental Techniques Chapter 3: Brief Overview of Deformation Mechanisms during Projectile Impact on a Confined Ceramic Chapter 4: Static and Dynamic Responses of Ceramics Chapter 5: Shock Response of Brittle Solids Chapter 6: Dynamic Deformation of Icosahedral Boron-Based Ceramics Chapter 7: Dynamic Behavior of Brittle Transparent Materials Chapter 8: Emerging Directions: Ceramics with Tailored Properties

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    £150.26

  • Durability of Industrial Composites

    Taylor & Francis Ltd Durability of Industrial Composites

    15 in stock

    Book SynopsisDurability of Industrial Composites offers numerical and quantitative solutions to long-term composite failures that are useful to practicing engineers, researchers, and students. All modes of laminate long-term failure are contemplated, with resin toughness and environmental conditions considered. The book develops a simple unified equation to compute the load-dependent durability of laminates under the simultaneous action of cyclic and static loads. The load-independent durability and residual life of equipment immersed in corrosive chemicals are also discussed. The book presents a full discussion of the elusive strain-corrosion mode of failure as well as a complete solution to the durability issue of underground sanitation pipes. The currently accepted durability parameters of HDB, Sb and Sc are discarded as incorrect and replaced with the appropriate threshold parameters. The entirely new concept of the anomalous failure is fully discussed and solved. The Table of ContentsPart 1: Computation of Total Strains. Chapter 1. Ply Properties. Chapter 2. Laminate Circularity. Chapter 3. Computing the Total Ply Strains. Chapter 4. Laminate Matrices. Chapter 5. Total Strains in ± 55 Laminates. Chapter 6. Total Strains in ± 70 Laminates. Chapter 7. Total Strains in Hoop-Chop Sanitation Pipes. Part 2: Computation of Durability. Chapter 8: the Eight Modes of Long-Term Failure. Chapter 9: The Regression Equations. Chapter 10: Temperature, Moisture and Resin Toughness. Chapter 11: Service Life and the Corrosion Barrier. Chapter 12: Long-Term Fiber Rupture. Chapter 13: Infiltration, Weep and Stiffness Failures. Chapter 14: Laminate Strain-Corrosion. Chapter 15: Abrasion Life. Chapter 16: The Unified Equation. Chapter 17: The Interaction Parameter Gsc. Chapter 18: Numerical Computation of the Interaction Parameter Gsc. Chapter 19: The Unified Equation Applied to API 15HR. Chapter 20: Short-Term Strengths of ± 55 Oil Pipes. Chapter 21: Impermeable Pipes. Appendix: The Fatigue Mechanism.

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  • Cardiovascular Biomaterials

    Springer London Cardiovascular Biomaterials

    1 in stock

    Book Synopsis1 Mechanical Properties of Arteries and Arterial Grafts.- Mechanical Properties of Arteries.- PET and PTFE Prostheses.- Biological Grafts.- Elastomeric Prostheses.- Conclusions.- 2 Blood Compatibility in Cardiopulmonary Bypass.- Blood-Material Interactions.- Blood Gas Exchange in Extracorporeal Devices.- Influence of Cardiopulmonary Bypass on Blood Components.- 3 Collagen in Cardiovascular Tissues.- Collagen in Health and Disease.- The Collagen Molecule.- Biosynthesis.- Different Types of Collagen.- Continuum Between Cytoplasm and Extracellular Matrix...- Wound Healing.- Fibrosis.- Fibrotic Response to Implantation of Foreign Materials..- Collagen Degradation.- Crosslinking.- Blood Vessels: Arteries and Veins.- Heart Valves.- Biomechanical Modulation of Connective Tissue Metabolism.- Collagen, Platelet Aggregation and Thrombosis.- Collagen as a Biomaterial.- Crosslinking of Collagen by Glutaraldehyde.- Vascular Grafts.- Relationship Between Surface Charge of the Vascular Interface and Thrombosis.- Calcification of Vascular Tissues.- Mechanisms of Calcification.- Calcification of Collagen-Based Cardiovascular Prostheses.- 4 Biostability of Vascular Protheses.- Current Vascular Prostheses.- Biological Response.- Long-Term Failure Modes.- New Materials.- 5 Heart Valve Replacements: Problems and Developments.- Mechanical Valves.- Tissue Valves.- Conclusions.- 6 Cardiac Assist Devices.- Housing.- Diaphragm.- Valves.- Conduits.- Comphance Chamber.Table of Contents1 Mechanical Properties of Arteries and Arterial Grafts.- Mechanical Properties of Arteries.- Structure of the Arterial Wall.- Wall Distensibility In Vivo.- Elastic Properties.- Viscoelastic Properties.- Effect of Age and Disease on Arterial Elasticity.- PET and PTFE Prostheses.- PET and PTFE Fabric Prostheses.- Expanded PTFE Prostheses.- Mechanical Properties of PET and PTFE Prostheses…..- Compliance.- Long-Term Properties.- Biological Grafts.- Human Umbilical Vein Grafts.- Autogenous Vein Grafts.- Elastomeric Prostheses.- Conclusions.- 2 Blood Compatibility in Cardiopulmonary Bypass.- Blood-Material Interactions.- Haemostasis and Thrombosis.- Natural and Artificial Surfaces.- Consequences of Blood Contact With Artificial Surfaces.- Role of Antithrombotic Agents.- Blood Gas Exchange in Extracorporeal Devices.- Gas Exchange.- Blood Flow.- Device Utilization.- Influence of Cardiopulmonary Bypass on Blood Components.- Nature of Process.- Circuit Priming.- Microemboli.- Alteration to Blood Components.- 3 Collagen in Cardiovascular Tissues.- Collagen in Health and Disease.- The Collagen Molecule.- Biosynthesis.- The Procollagen Molecule.- Intracellular Event Leading to the Synthesis of Procollagen.- Translational, Co-translational and Early Post-translational Events.- Intracellular Translocation of Procollagen and Extrusion into the Extracellular Space.- Lysyl Oxidase.- Fibrillogenesis.- Collagen Metabolism.- Different Types of Collagen.- Type I Collagen.- Type III Collagen.- Type IV Collagen and Other Basement Membrane-Associated Macromolecules.- Type V Collagen.- Non-collagenous Proteins Associated with Basement Membranes.- Laminin.- Fibronectin.- Proteoglycans.- Continuum Between Cytoplasm and Extracellular Matrix...- Wound Healing.- Fibrosis.- Fibrotic Response to Implantation of Foreign Materials…..- Collagen Degradation.- Crosslinking.- Intramolecular and Intermolecular Cross-links.- Collagen Composition of the Normal and Diseased Blood Vessel Wall.- Blood Vessels: Arteries and Veins.- Heart Valves.- Biomechanical Modulation of Connective Tissue Metabolism.- Collagen, Platelet Aggregation and Thrombosis.- Collagen as a Biomaterial.- Crosslinking of Collagen by Glutaraldehyde.- Vascular Grafts.- Relationship Between Surface Charge of the Vascular Interface and Thrombosis.- Calcification of Vascular Tissues.- Mechanisms of Calcification.- Calcification of Collagen-Based Cardiovascular Prostheses.- 4 Biostability of Vascular Protheses.- Current Vascular Prostheses.- Unprocessed Biological Prostheses.- Processed Biological Prostheses.- The Synthetic or Alloplastic Prostheses.- Biological Response.- Biological Grafts.- PET Vascular Prostheses.- PTFE Vascular Prostheses.- Long-Term Failure Modes.- Processed Biological Prostheses.- PTFE.- PET Vascular Prostheses.- New Materials.- Processed Biological Prostheses.- New Synthetic Grafts.- Conclusion.- 5 Heart Valve Replacements: Problems and Developments.- Mechanical Valves.- Tissue Valves.- Conclusions.- 6 Cardiac Assist Devices.- Housing.- Diaphragm.- Valves.- Conduits.- Comphance Chamber.

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  • Condensed Matter Theories Volume 5

    Springer Us Condensed Matter Theories Volume 5

    1 in stock

    Book SynopsisSince the very first workshop, held at the prestigious Instituto de Fisica Teorica in Sao Paulo, and organized by the same organizer of the 1989 workshop, Professor Valdir Casaca Aguilera-Navarro, the meeting has taken place annually six times in Latin America, four in Europe and three in the United States.Table of ContentsQuantum and Classical Fluids.- Thomas-Fermi Equation of State — The Hot Curve.- New Mechanism of Transport Phenomena in Spin-Polarized Quantum Systems.- Correlated Wave Functions Theory of the Spectral Function.- Momentum Distributions in 3He-4He Mixtures.- Finite Temperature Properties for the Electron Gas with Localization up to 3 Dimensions.- Generalized Momentum Distributions of Quantum Fluids.- Ground State Energy and Landau Parameters of Spin-Polarized Deuterium Using Green’s Function Methods.- Quantum Molecular Dynamics Simulation of Electron Bubbles in a Dense Helium Gas.- Quantum Liquid Films: A Generic Many-Body Problem.- Structure and Dynamics of Supercooled Fluids.- Correlated RPA Calculations for Model Nuclear Matter.- Theory of the Critical Point of He4.- Correlations and Momentum Distribution in the Ground State of Liquid 3He.- Optimized 4He Wave Functions Using Monte Carlo Integration.- The Normal Phase of a Correlated Bose Fluid.- A New Approach to Excited States in 4He: Rotons and Vortices.- Superconductivity.- Vibrational Density-of-States, Isotope Effect, and Superconductivity in Ba1-xKxBiO3 Cubic Oxides.- Variational Monte-Carlo Study of Superconductivity and Magnetism in the Two-Dimensional Hubbard Model.- Finite-Temperature Many-Body Perturbation Theory for Superconducting Fermion Systems.- Abnormal Occupation, Tighter-Bound Cooper Pairs and High Tc Superconductivity.- On the Role of Electron-Medium Coupling in High Temperature Superconductors.- Correlated Spin-Density-Wave Theory.- Composites, Magnetism, Semiconductors and Plasmas.- Effective Dielectric Response of Composites: A New Diagramatic Approach.- The Trajectories of Magnetic Field Lines in Tokamaks with Helical Windings.- Spin-Splitted Phase Transition in the Quantized Hall Effect in Narrow-Gap Hg(1-x) CdxTe Inversion Layers.- High Magnetic Susceptibility Liquid Metals.- Atoms, Molecules and Nuclei.- Translationally-Invariant Coupled Cluster Theory Applied to the 4He Nucleus.- Electron Correlations in Atoms.- The Foundation of the Nuclear Shell Model.- Developments in Multireference Coupled-Cluster Applications to Molecular Systems.- Formal Methods.- On the Bargmann Space Approach to the Extended Coupled Cluster Method for Simple Anharmonic Systems.- Quantum Many-Body Systems: Orthogonal Coordinates.- Dissipative Evolutions in Quantum Mechanics.- Extended Coupled Cluster Techniques for Excited States: Applications to Quasispin Models.- Temporal Evolution of Fluctuations.- Squeezed States Representation: An ?-Expansion of Statistical Mechanics.- Maximum Entropy Principle and Quantum Mechanics.- Baym-Kadanoff Theory Made Even Planar.- Contributors and Participants.

    1 in stock

    £42.74

  • Scanning Electron Microscopy and XRay Microanalysis Third Edition

    Springer Scanning Electron Microscopy and XRay Microanalysis Third Edition

    15 in stock

    Book Synopsis1. Introduction.- 1.1. Imaging Capabilities.- 1.2. Structure Analysis.- 1.3. Elemental Analysis.- 1.4. Summary and Outline of This Book.- Appendix A. Overview of Scanning Electron Microscopy.- Appendix B. Overview of Electron Probe X-Ray Microanalysis.- References.- 2. The SEM and Its Modes of Operation.- 2.1. How the SEM Works.- 2.1.1. Functions of the SEM Subsystems.- 2.1.1.1. Electron Gun and Lenses Produce a Small Electron Beam.- 2.1.1.2. Deflection System Controls Magnification.- 2.1.1.3. Electron Detector Collects the Signal.- 2.1.1.4. Camera or Computer Records the Image.- 2.1.1.5. Operator Controls.- 2.1.2. SEM Imaging Modes.- 2.1.2.1. Resolution Mode.- 2.1.2.2. High-Current Mode.- 2.1.2.3. Depth-of-Focus Mode.- 2.1.2.4. Low-Voltage Mode.- 2.1.3. Why Learn about Electron Optics?.- 2.2. Electron Guns.- 2.2.1. Tungsten Hairpin Electron Guns.- 2.2.1.1. Filament.- 2.2.1.2. Grid Cap.- 2.2.1.3. Anode.- 2.2.1.4. Emission Current and Beam Current.- 2.2.1.5. Operator Control of the ElecTrade Review“There is no other single volume that covers as much theory and practice of SEM or X-ray microanalysis as Scanning Electron Microscopy and X-ray Microanalysis, 3rd Edition does. It is clearly written ... well organized. ... This is a reference text that no SEM or EPMA laboratory should be without.” (Thomas J. Wilson, Scanning, Vol. 27 (4), July/August, 2005) “As the authors pointed out, the number of equations in the book is kept to a minimum, and important conceptions are also explained in a qualitative manner. A lot of very distinct images and schematic drawings make for a very interesting book and help readers who study scanning electron microscopy and X-ray microanalysis. The principal application and sample preparation given in this book are suitable for undergraduate students and technicians learning SEEM and EDS/WDS analyses. It is an excellent textbook for graduate students, and an outstanding reference for engineers, physical, and biological scientists.” (Microscopy and Microanalysis, Vol. 9 (5), October, 2003)Table of Contents1. Introduction.- 1.1. Imaging Capabilities.- 1.2. Structure Analysis.- 1.3. Elemental Analysis.- 1.4. Summary and Outline of This Book.- Appendix A. Overview of Scanning Electron Microscopy.- Appendix B. Overview of Electron Probe X-Ray Microanalysis.- References.- 2. The SEM and Its Modes of Operation.- 2.1. How the SEM Works.- 2.1.1. Functions of the SEM Subsystems.- 2.1.1.1. Electron Gun and Lenses Produce a Small Electron Beam.- 2.1.1.2. Deflection System Controls Magnification.- 2.1.1.3. Electron Detector Collects the Signal.- 2.1.1.4. Camera or Computer Records the Image.- 2.1.1.5. Operator Controls.- 2.1.2. SEM Imaging Modes.- 2.1.2.1. Resolution Mode.- 2.1.2.2. High-Current Mode.- 2.1.2.3. Depth-of-Focus Mode.- 2.1.2.4. Low-Voltage Mode.- 2.1.3. Why Learn about Electron Optics?.- 2.2. Electron Guns.- 2.2.1. Tungsten Hairpin Electron Guns.- 2.2.1.1. Filament.- 2.2.1.2. Grid Cap.- 2.2.1.3. Anode.- 2.2.1.4. Emission Current and Beam Current.- 2.2.1.5. Operator Control of the Electron Gun.- 2.2.2. Electron Gun Characteristics.- 2.2.2.1. Electron Emission Current.- 2.2.2.2. Brightness.- 2.2.2.3. Lifetime.- 2.2.2.4. Source Size, Energy Spread, Beam Stability.- 2.2.2.5. Improved Electron Gun Characteristics.- 2.2.3. Lanthanum Hexaboride (LaB6) Electron Guns.- 2.2.3.1. Introduction.- 2.2.3.2. Operation of the LaB6 Source.- 2.2.4. Field Emission Electron Guns.- 2.3. Electron Lenses.- 2.3.1. Making the Beam Smaller.- 2.3.1.1. Electron Focusing.- 2.3.1.2. Demagnification of the Beam.- 2.3.2. Lenses in SEMs.- 2.3.2.1. Condenser Lenses.- 2.3.2.2. Objective Lenses.- 2.3.2.3. Real and Virtual Objective Apertures.- 2.3.3. Operator Control of SEM Lenses.- 2.3.3.1. Effect of Aperture Size.- 2.3.3.2. Effect of Working Distance.- 2.3.3.3. Effect of Condenser Lens Strength.- 2.3.4. Gaussian Probe Diameter.- 2.3.5. Lens Aberrations.- 2.3.5.1. Spherical Aberration.- 2.3.5.2. Aperture Diffraction.- 2.3.5.3. Chromatic Aberration.- 2.3.5.4. Astigmatism.- 2.3.5.5. Aberrations in the Objective Lens.- 2.4. Electron Probe Diameter versus Electron Probe Current.- 2.4.1. Calculation of dmin and imax.- 2.4.1.1. Minimum Probe Size.- 2.4.1.2. Minimum Probe Size at 10-30 kV.- 2.4.1.3. Maximum Probe Current at 10-30 kV.- 2.4.1.4. Low-Voltage Operation.- 2.4.1.5. Graphical Summary.- 2.4.2. Performance in the SEM Modes.- 2.4.2.1. Resolution Mode.- 2.4.2.2. High-Current Mode.- 2.4.2.3. Depth-of-Focus Mode.- 2.4.2.4. Low-Voltage SEM.- 2.4.2.5. Environmental Barriers to High-Resolution Imaging.- References.- 3. Electron Beam–Specimen Interactions.- 3.1. The Story So Far.- 3.2. The Beam Enters the Specimen.- 3.3. The Interaction Volume.- 3.3.1. Visualizing the Interaction Volume.- 3.3.2. Simulating the Interaction Volume.- 3.3.3. Influence of Beam and Specimen Parameters on the Interaction Volume.- 3.3.3.1. Influence of Beam Energy on the Interaction Volume.- 3.3.3.2. Influence of Atomic Number on the Interaction Volume.- 3.3.3.3. Influence of Specimen Surface Tilt on the Interaction Volume.- 3.3.4. Electron Range: A Simple Measure of the Interaction Volume.- 3.3.4.1. Introduction.- 3.3.4.2. The Electron Range at Low Beam Energy.- 3.4. Imaging Signals from the Interaction Volume.- 3.4.1. Backscattered Electrons.- 3.4.1.1. Atomic Number Dependence of BSE.- 3.4.1.2. Beam Energy Dependence of BSE.- 3.4.1.3. Tilt Dependence of BSE.- 3.4.1.4. Angular Distribution of BSE.- 3.4.1.5. Energy Distribution of BSE.- 3.4.1.6. Lateral Spatial Distribution of BSE.- 3.4.1.7. Sampling Depth of BSE.- 3.4.2. Secondary Electrons.- 3.4.2.1. Definition and Origin of SE.- 3.4.2.2. SE Yield with Primary Beam Energy.- 3.4.2.3. SE Energy Distribution.- 3.4.2.4. Range and Escape Depth of SE.- 3.4.2.5. Relative Contributions of SE1 and SE2.- 3.4.2.6. Specimen Composition Dependence of SE.- 3.4.2.7. Specimen Tilt Dependence of SE.- 3.4.2.8. Angular Distribution of SE.- References.- 4. Image Formation and Interpretation.- 4.1. The Story So Far.- 4.2. The Basic SEM Imaging Process.- 4.2.1. Scanning Action.- 4.2.2. Image Construction (Mapping).- 4.2.2.1. Line Scans.- 4.2.2.2. Image (Area) Scanning.- 4.2.2.3. Digital Imaging: Collection and Display.- 4.2.3. Magnification.- 4.2.4. Picture Element (Pixel) Size.- 4.2.5. Low-Magnification Operation.- 4.2.6. Depth of Field (Focus).- 4.2.7. Image Distortion.- 4.2.7.1. Projection Distortion: Gnomonic Projection.- 4.2.7.2. Projection Distortion: Image Foreshortening.- 4.2.7.3. Scan Distortion: Pathological Defects.- 4.2.7.4. Moiré Effects.- 4.3. Detectors.- 4.3.1. Introduction.- 4.3.2. Electron Detectors.- 4.3.2.1. Everhart–Thornley Detector.- 4.3.2.2. “Through-the-Lens” (TTL) Detector.- 4.3.2.3. Dedicated Backscattered Electron Detectors.- 4.4. The Roles of the Specimen and Detector in Contrast Formation.- 4.4.1. Contrast.- 4.4.2. Compositional (Atomic Number) Contrast.- 4.4.2.1. Introduction.- 4.4.2.2. Compositional Contrast with Backscattered Electrons.- 4.4.3. Topographic Contrast.- 4.4.3.1. Origins of Topographic Contrast.- 4.4.3.2. Topographic Contrast with the Everhart–Thornley Detector.- 4.4.3.3. Light-Optical Analogy.- 4.4.3.4. Interpreting Topographic Contrast with Other Detectors.- 4.5. Image Quality.- 4.6. Image Processing for the Display of Contrast Information.- 4.6.1. The Signal Chain.- 4.6.2. The Visibility Problem.- 4.6.3. Analog and Digital Image Processing.- 4.6.4. Basic Digital Image Processing.- 4.6.4.1. Digital Image Enhancement.- 4.6.4.2. Digital Image Measurements.- References.- 5. Special Topics in Scanning Electron Microscopy.- 5.1. High-Resolution Imaging.- 5.1.1. The Resolution Problem.- 5.1.2. Achieving High Resolution at High Beam Energy.- 5.1.3. High-Resolution Imaging at Low Voltage.- 5.2. STEM-in-SEM: High Resolution for the Special Case of Thin Specimens.- 5.3. Surface Imaging at Low Voltage.- 5.4. Making Dimensional Measurements in the SEM.- 5.5. Recovering the Third Dimension: Stereomicroscopy.- 5.5.1. Qualitative Stereo Imaging and Presentation.- 5.5.2. Quantitative Stereo Microscopy.- 5.6. Variable-Pressure and Environmental SEM.- 5.6.1. Current Instruments.- 5.6.2. Gas in the Specimen Chamber.- 5.6.2.1. Units of Gas Pressure.- 5.6.2.2. The Vacuum System.- 5.6.3. Electron Interactions with Gases.- 5.6.4. The Effect of the Gas on Charging.- 5.6.5. Imaging in the ESEM and the VPSEM.- 5.6.6. X-Ray Microanalysis in the Presence of a Gas.- 5.7. Special Contrast Mechanisms.- 5.7.1. Electric Fields.- 5.7.2. Magnetic Fields.- 5.7.2.1. Type 1 Magnetic Contrast.- 5.7.2.2. Type 2 Magnetic Contrast.- 5.7.3. Crystallographic Contrast.- 5.8. Electron Backscatter Patterns.- 5.8.1. Origin of EBSD Patterns.- 5.8.2. Hardware for EBSD.- 5.8.3. Resolution of EBSD.- 5.8.3.1. Lateral Spatial Resolution.- 5.8.3.2. Depth Resolution.- 5.8.4. Applications.- 5.8.4.1. Orientation Mapping.- 5.8.4.2. Phase Identification.- References.- 6. Generation of X-Rays in the SEM Specimen.- 6.1. Continuum X-Ray Production (Bremsstrahlung).- 6.2. Characteristic X-Ray Production.- 6.2.1. Origin.- 6.2.2. Fluorescence Yield.- 6.2.3. Electron Shells.- 6.2.4. Energy-Level Diagram.- 6.2.5. Electron Transitions.- 6.2.6. Critical Ionization Energy.- 6.2.7. Moseley’s Law.- 6.2.8. Families of Characteristic Lines.- 6.2.9. Natural Width of Characteristic X-Ray Lines.- 6.2.10. Weights of Lines.- 6.2.11. Cross Section for Inner Shell Ionization.- 6.2.12. X-Ray Production in Thin Foils.- 6.2.13. X-Ray Production in Thick Targets.- 6.2.14. X-Ray Peak-to-Background Ratio.- 6.3. Depth of X-Ray Production (X-Ray Range).- 6.3.1. Anderson–Hasler X-Ray Range.- 6.3.2. X-Ray Spatial Resolution.- 6.3.3. Sampling Volume and Specimen Homogeneity.- 6.3.4.Depth Distribution of X-Ray Production, ?(?z).- 6.4. X-Ray Absorption.- 6.4.1. Mass Absorption Coefficient for an Element.- 6.4.2. Effect of Absorption Edge on Spectrum.- 6.4.3. Absorption Coefficient for Mixed-Element Absorbers.- 6.5. X-Ray Fluorescence.- 6.5.1. Characteristic Fluorescence.- 6.5.2. Continuum Fluorescence.- 6.5.3. Range of Fluorescence Radiation.- References.- 7. X-Ray Spectral Measurement: EDS and WDS.- 7.1. Introduction.- 7.2. Energy-Dispersive X-Ray Spectrometer.- 7.2.1. Operating Principles.- 7.2.2. The Detection Process.- 7.2.3. Charge-to-Voltage Conversion.- 7.2.4. Pulse-Shaping Linear Amplifier and Pileup Rejection Circuitry.- 7.2.5. The Computer X-Ray Analyzer.- 7.2.6. Digital Pulse Processing.- 7.2.7. Spectral Modification Resulting from the Detection Process.- 7.2.7.1. Peak Broadening.- 7.2.7.2. Peak Distortion.- 7.2.7.3. Silicon X-Ray Escape Peaks.- 7.2.7.4. Absorption Edges.- 7.2.7.5. Silicon Internal Fluorescence Peak.- 7.2.8. Artifacts from the Detector Environment.- 7.2.9. Summary of EDS Operation and Artifacts.- 7.3. Wavelength-Dispersive Spectrometer.- 7.3.1. Introduction.- 7.3.2. Basic Description.- 7.3.3. Diffraction Conditions.- 7.3.4. Diffracting Crystals.- 7.3.5. The X-Ray Proportional Counter.- 7.3.6. Detector Electronics.- 7.4. Comparison of Wavelength-Dispersive Spectrometers with Conventional Energy-Dispersive Spectrometers.- 7.4.1. Geometric Collection Efficiency.- 7.4.2. Quantum Efficiency.- 7.4.3. Resolution.- 7.4.4. Spectral Acceptance Range.- 7.4.5. Maximum Count Rate.- 7.4.6. Minimum Probe Size.- 7.4.7. Speed of Analysis.- 7.4.8. Spectral Artifacts.- 7.5. Emerging Detector Technologies.- 7.5.1. X-Ray Microcalorimetery.- 7.5.2. Silicon Drift Detectors.- 7.5.3. Parallel Optic Diffraction-Based Spectrometers.- References.- 8. Qualitative X-Ray Analysis.- 8.1. Introduction.- 8.2. EDS Qualitative Analysis.- 8.2.1. X-Ray Peaks.- 8.2.2. Guidelines for EDS Qualitative Analysis.- 8.2.2.1. General Guidelines for EDS Qualitative Analysis.- 8.2.2.2. Specific Guidelines for EDS Qualitative Analysis.- 8.2.3. Examples of Manual EDS Qualitative Analysis.- 8.2.4. Pathological Overlaps in EDS Qualitative Analysis.- 8.2.5. Advanced Qualitative Analysis: Peak Stripping.- 8.2.6. Automatic Qualitative EDS Analysis.- 8.3. WDS Qualitative Analysis.- 8.3.1. Wavelength-Dispersive Spectrometry of X-Ray Peaks.- 8.3.2. Guidelines for WDS Qualitative Analysis.- References.- 9. Quantitative X-Ray Analysis: The Basics.- 9.1. Introduction.- 9.2. Advantages of Conventional Quantitative X-Ray Microanalysis in the SEM.- 9.3. Quantitative Analysis Procedures: Flat-Polished Samples.- 9.4. The Approach to X-Ray Quantitation: The Need for Matrix Corrections.- 9.5. The Physical Origin of Matrix Effects.- 9.6. ZAF Factors in Microanalysis.- 9.6.1. Atomic number effect, Z.- 9.6.1.1. Effect of Backscattering (R) and Energy Loss (S ).- 9.6.1.2. X-Ray Generation with Depth, ?(?z).- 9.6.2. X-Ray Absorption Effect, A.- 9.6.3. X-Ray Fluorescence, F.- 9.7. Calculation of ZAF Factors.- 9.7.1. Atomic Number Effect, Z.- 9.7.2. Absorption correction, A.- 9.7.3. Characteristic Fluorescence Correction, F.- 9.7.4. Calculation of ZAF.- 9.7.5. The Analytical Total.- 9.8. Practical Analysis.- 9.8.1. Examples of Quantitative Analysis.- 9.8.1.1. Al–Cu Alloys.- 9.8.1.2. Ni–10 wt% Fe Alloy.- 9.8.1.3. Ni–38.5 wt% Cr–3.0 wt% Al Alloy.- 9.8.1.4. Pyroxene: 53.5 wt% SiO2, 1.11 wt% Al2O3, 0.62 wt% Cr2O3, 9.5 wt% FeO, 14.1 wt% MgO, and 21.2 wt% CaO.- 9.8.2. Standardless Analysis.- 9.8.2.1. First-Principles Standardless Analysis.- 9.8.2.2. “Fitted-Standards” Standardless Analysis.- 9.8.3. Special Procedures for Geological Analysis.- 9.8.3.1. Introduction.- 9.8.3.2. Formulation of the Bence–Albee Procedure.- 9.8.3.3. Application of the Bence–Albee Procedure.- 9.8.3.4. Specimen Conductivity.- 9.8.4. Precision and Sensitivity in X-Ray Analysis.- 9.8.4.1. Statistical Basis for Calculating Precision and Sensitivity.- 9.8.4.2. Precision of Composition.- 9.8.4.3. Sample Homogeneity.- 9.8.4.4. Analytical Sensitivity.- 9.8.4.5. Trace Element Analysis.- 9.8.4.6. Trace Element Analysis Geochronologic Applications.- 9.8.4.7. Biological and Organic Specimens.- References.- 10. Special Topics in Electron Beam X-Ray Microanalysis.- 10.1. Introduction.- 10.2. Thin Film on a Substrate.- 10.3. Particle Analysis.- 10.3.1. Particle Mass Effect.- 10.3.2. Particle Absorption Effect.- 10.3.3. Particle Fluorescence Effect.- 10.3.4. Particle Geometric Effects.- 10.3.5. Corrections for Particle Geometric Effects.- 10.3.5.1. The Consequences of Ignoring Particle Effects.- 10.3.5.2. Normalization.- 10.3.5.3. Critical Measurement Issues for Particles.- 10.3.5.4. Advanced Quantitative Methods for Particles.- 10.4. Rough Surfaces.- 10.4.1. Introduction.- 10.4.2. Rough Specimen Analysis Strategy.- 10.4.2.1. Reorientation.- 10.4.2.2. Normalization.- 10.4.2.3. Peak-to-Background Method.- 10.5. Beam-Sensitive Specimens (Biological, Polymeric).- 10.5.1. Thin-Section Analysis.- 10.5.2. Bulk Biological and Organic Specimens.- 10.6. X-Ray Mapping.- 10.6.1. Relative Merits of WDS and EDS for Mapping.- 10.6.2. Digital Dot Mapping.- 10.6.3. Gray-Scale Mapping.- 10.6.3.1. The Need for Scaling in Gray-Scale Mapping.- 10.6.3.2. Artifacts in X-Ray Mapping.- 10.6.4. Compositional Mapping.- 10.6.4.1. Principles of Compositional Mapping.- 10.6.4.2. Advanced Spectrum Collection Strategies for Compositional Mapping.- 10.6.5. The Use of Color in Analyzing and Presenting X-Ray\ Maps.- 10.6.5.1. Primary Color Superposition.- 10.6.5.2. Pseudocolor Scales.- 10.7. Light Element Analysis.- 10.7.1. Optimization of Light Element X-Ray Generation.- 10.7.2. X-Ray Spectrometry of the Light Elements.- 10.7.2.1. Si EDS.- 10.7.2.2. WDS.- 10.7.3. Special Measurement Problems for the Light Elements.- 10.7.3.1. Contamination.- 10.7.3.2. Overvoltage Effects.- 10.7.3.3. Absorption Effects.- 10.7.4.Light Element Quantification.- 10.8. Low-Voltage Microanalysis.- 10.8.1. “Low-Voltage” versus “Conventional” Microanalysis.- 10.8.2. X-Ray Production Range.- 10.8.2.1. Contribution of the Beam Size to the X-Ray Analytical Resolution.- 10.8.2.2. A Consequence of the X-Ray Range under Low-Voltage Conditions.- 10.8.3. X-Ray Spectrometry in Low-Voltage Microanalysis.- 10.8.3.1. The Oxygen and Carbon Problem.- 10.8.3.2. Quantitative X-Ray Microanalysis at Low Voltage.- 10.9. Report of Analysis.- References.- 11. Specimen Preparation of Hard Materials: Metals, Ceramics, Rocks, Minerals, Microelectronic and Packaged Devices, Particles, and Fibers.- 11.1. Metals.- 11.1.1. Specimen Preparation for Surface Topography.- 11.1.2. Specimen Preparation for Microstructural and Microchemical Analysis.- 11.1.2.1. Initial Sample Selection and Specimen Preparation Steps.- 11.1.2.2. Final Polishing Steps.- 11.1.2.3. Preparation for Microanalysis.- 11.2. Ceramics and Geological Samples.- 11.2.1. Initial Specimen Preparation: Topography and Microstructure.- 11.2.2. Mounting and Polishing for Microstructural and Microchemical Analysis.- 11.2.3. Final Specimen Preparation for Microstructural and Microchemical Analysis.- 11.3. Microelectronics and Packages.- 11.3.1. Initial Specimen Preparation.- 11.3.2. Polishing.- 11.3.3. Final Preparation.- 11.4. Imaging of Semiconductors.- 11.4.1. Voltage Contrast.- 11.4.2. Charge Collection.- 11.5. Preparation for Electron Diffraction in the SEM.- 11.5.1. Channeling Patterns and Channeling Contrast.- 11.5.2. Electron Backscatter Diffraction.- 11.6. Special Techniques.- 11.6.1. Plasma Cleaning.- 11.6.2. Focused-Ion-Beam Sample Preparation for SEM.- 11.6.2.1. Application of FIB for Semiconductors.- 11.6.2.2. Applications of FIB in Materials Science.- 11.7.Particles and Fibers.- 11.7.1. Particle Substrates and Supports.- 11.7.1.1. Bulk Particle Substrates.- 11.7.1.2. Thin Particle Supports.- 11.7.2. Particle Mounting Techniques.- 11.7.3. Particles Collected on Filters.- 11.7.4. Particles in a Solid Matrix.- 11.7.5. Transfer of Individual Particles.- References.- 12. Specimen Preparation of Polymer Materials.- 12.1. Introduction.- 12.2. Microscopy of Polymers.- 12.2.1. Radiation Effects.- 12.2.2. Imaging Compromises.- 12.2.3. Metal Coating Polymers for Imaging.- 12.2.4. X-Ray Microanalysis of Polymers.- 12.3. Specimen Preparation Methods for Polymers.- 12.3.1. Simple Preparation Methods.- 12.3.2. Polishing of Polymers.- 12.3.3. Microtomy of Polymers.- 12.3.4. Fracture of Polymer Materials.- 12.3.5. Staining of Polymers.- 12.3.5.1. Osmium Tetroxide and Ruthenium Tetroxide.- 12.3.5.2. Ebonite.- 12.3.5.3. Chlorosulfonic Acid and Phosphotungstic Acid.- 12.3.6. Etching of Polymers.- 12.3.7. Replication of Polymers.- 12.3.8. Rapid Cooling and Drying Methods for Polymers.- 12.3.8.1. Simple Cooling Methods.- 12.3.8.2. Freeze-Drying.- 12.3.8.3. Critical-Point Drying.- 12.4. Choosing Specimen Preparation Methods.- 12.4.1. Fibers.- 12.4.2. Films and Membranes.- 12.4.3. Engineering Resins and Plastics.- 12.4.4. Emulsions and Adhesives.- 12.5. Problem-Solving Protocol.- 12.6. Image Interpretation and Artifacts.- References.- 13. Ambient-Temperature Specimen Preparation of Biological Material.- 13.1. Introduction.- 13.2. Preparative Procedures for the Structural SEM of Single Cells, Biological Particles, and Fibers.- 13.2.1. Particulate, Cellular, and Fibrous Organic Material.- 13.2.2. Dry Organic Particles and Fibers.- 13.2.2.1. Organic Particles and Fibers on a Filter.- 13.2.2.2. Organic Particles and Fibers Entrained within a Filter.- 13.2.2.3. Organic Particulate Matter Suspended in a Liquid.- 13.2.2.4. Manipulating Individual Organic Particles.- 13.3. Preparative Procedures for the Structural Observation of Large Soft Biological Specimens.- 13.3.1. Introduction.- 13.3.2. Sample Handling before Fixation.- 13.3.3. Fixation.- 13.3.4. Microwave Fixation.- 13.3.5. Conductive Infiltration.- 13.3.6. Dehydration.- 13.3.7. Embedding.- 13.3.8. Exposing the Internal Contents of Bulk Specimens.- 13.3.8.1. Mechanical Dissection.- 13.3.8.2. High-Energy-Beam Surface Erosion.- 13.3.8.3. Chemical Dissection.- 13.3.8.4. Surface Replicas and Corrosion Casts.- 13.3.9. Specimen Supports and Methods of Sample Attachment.- 13.3.10. Artifacts.- 13.4. Preparative Procedures for the in Situ Chemical Analysis of Biological Specimens in the SEM.- 13.4.1. Introduction.- 13.4.2. Preparative Procedures for Elemental Analysis Using X-Ray Microanalysis.- 13.4.2.1. The Nature and Extent of the Problem.- 13.4.2.2. Types of Sample That May be Analyzed.- 13.4.2.3. The General Strategy for Sample Preparation.- 13.4.2.4. Criteria for Judging Satisfactory Sample Preparation.- 13.4.2.5. Fixation and Stabilization.- 13.4.2.6. Precipitation Techniques.- 13.4.2.7. Procedures for Sample Dehydration, Embedding, and Staining.- 13.4.2.8. 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Versed sine (or haversine) shock 4 1.1.7. Terminal peak sawtooth (TPS) shock (or final peak sawtooth FPS)) 5 1.1.8. Initial peak sawtooth (IPS) shock 6 1.1.9. Square shock 7 1.1.10. Trapezoidal shock 8 1.1.11. Decaying sinusoidal pulse 8 1.1.12. Bump test 9 1.1.13. Pyroshock 9 1.2. Analysis in the time domain 12 1.3. Temporal moments 12 1.4. Fourier transform 15 1.4.1. Definition 15 1.4.2. Reduced Fourier transform 17 1.4.3. Fourier transforms of simple shocks 17 1.4.4. What represents the Fourier transform of a shock? 29 1.4.5. Importance of the Fourier transform 31 1.5. Energy spectrum 32 1.5.1. Energy according to frequency 32 1.5.2. Average energy spectrum 33 1.6. Practical calculations of the Fourier transform 33 1.6.1. General 33 1.6.2. Case: signal not yet digitized 33 1.6.3. Case: signal already digitized 36 1.6.4. Adding zeros to the shock signal before the calculation of its Fourier transform 37 1.6.5. Windowing 40 1.7. The interest of time-frequency analysis 41 1.7.1. Limit of the Fourier transform 41 1.7.2. Short term Fourier transform (STFT) 44 1.7.3. Wavelet transform 49 Chapter 2. Shock Response Spectrum 55 2.1. Main principles 55 2.2. Response of a linear one-degree-of-freedom system 59 2.2.1. Shock defined by a force 59 2.2.2. Shock defined by an acceleration 60 2.2.3. Generalization 60 2.2.4. Response of a one-degree-of-freedom system to simple shocks 65 2.3. Definitions 69 2.3.1. Response spectrum 69 2.3.2. Absolute acceleration SRS 69 2.3.3. Relative displacement shock spectrum 70 2.3.4. Primary (or initial) positive SRS 70 2.3.5. Primary (or initial) negative SRS 70 2.3.6. Secondary (or residual) SRS 71 2.3.7. Positive (or maximum positive) SRS 71 2.3.8. Negative (or maximum negative) SRS 71 2.3.9. Maximax SRS 72 2.4. Standardized response spectra 73 2.4.1. Definition 73 2.4.2. Half-sine pulse 75 2.4.3. Versed sine pulse 76 2.4.4. Terminal peak sawtooth pulse 78 2.4.5. Initial peak sawtooth pulse 79 2.4.6. Square pulse 81 2.4.7. Trapezoidal pulse 81 2.5. Choice of the type of SRS 82 2.6. Comparison of the SRS of the usual simple shapes 83 2.7. SRS of a shock defined by an absolute displacement of the support 84 2.8. Influence of the amplitude and the duration of the shock on its SRS 84 2.9. Difference between SRS and extreme response spectrum (ERS) 86 2.10. Algorithms for calculation of the SRS 86 2.11. Subroutine for the calculation of the SRS 86 2.12. Choice of the sampling frequency of the signal 90 2.13. Example of use of the SRS 94 2.14. Use of SRS for the study of systems with several degrees of freedom 96 2.15. Damage boundary curve 100 Chapter 3. Properties of Shock Response Spectra 103 3.1. Shock response spectra domains 103 3.2. Properties of SRS at low frequencies 104 3.2.1. General properties 104 3.2.2. Shocks with zero velocity change 104 3.2.3. Shocks with ΔV = 0 and ΔD ≠ 0 at the end of a pulse 115 3.2.4. Shocks with ΔV = 0 and ΔD = 0 at the end of a pulse 117 3.2.5. Notes on residual spectrum 120 3.3. Properties of SRS at high frequencies 121 3.4. Damping influence 124 3.5. Choice of damping 124 3.6. Choice of frequency range 127 3.7. Choice of the number of points and their distribution 128 3.8. Charts 131 3.9. Relation of SRS with Fourier spectrum 134 3.9.1. Primary SRS and Fourier transform 134 3.9.2. Residual SRS and Fourier transform 136 3.9.3. Comparison of the relative severity of several shocks using their Fourier spectra and their shock response spectra 139 3.10. Care to be taken in the calculation of the spectra 143 3.10.1. Main sources of errors 143 3.10.2. Influence of background noise of the measuring equipment 143 3.10.3. Influence of zero shift 145 3.11. Specific case of pyroshocks 152 3.11.1. Acquisition of the measurements 152 3.11.2. Examination of the signal before calculation of the SRS 154 3.11.3. Examination of the SRS 155 3.12. Pseudo-velocity shock spectrum 156 3.12.1. Hunt’s relationship 156 3.12.2. Interest of PVSS 160 3.13. Use of the SRS for pyroshocks 162 3.14. Other propositions of spectra165 3.14.1. Pseudo-velocity calculated from the energy transmitted 165 3.14.2. Pseudo-velocity from the “input” energy at the end of a shock 165 3.14.3. Pseudo-velocity from the unit “input” energy 167 3.14.4. SRS of the “total” energy 167 Chapter 4. Development of Shock Test Specifications 175 4.1. Introduction 175 4.2. Simplification of the measured signal 176 4.3. Use of shock response spectra 178 4.3.1. Synthesis of spectra 178 4.3.2. Nature of the specification 180 4.3.3. Choice of shape 181 4.3.4. Amplitude 182 4.3.5. Duration 182 4.3.6. Difficulties 186 4.4. Other methods 187 4.4.1. Use of a swept sine 188 4.4.2. Simulation of SRS using a fast swept sine 189 4.4.3. Simulation by modulated random noise 193 4.4.4. Simulation of a shock using random vibration 194 4.4.5. Least favorable response technique 195 4.4.6. Restitution of an SRS by a series of modulated sine pulses 196 4.5. Interest behind simulation of shocks on shaker using a shock spectrum 198 Chapter 5. Kinematics of Simple Shocks 203 5.1. Introduction 203 5.2. Half-sine pulse 203 5.2.1. General expressions of the shock motion 203 5.2.2. Impulse mode 206 5.2.3. Impact mode 207 5.3. Versed sine pulse 216 5.4. Square pulse 218 5.5. Terminal peak sawtooth pulse 221 5.6. Initial peak sawtooth pulse 223 Chapter 6. Standard Shock Machines 225 6.1. Main types 225 6.2. Impact shock machines 227 6.3. High impact shock machines 237 6.3.1. Lightweight high impact shock machine 237 6.3.2. Medium weight high impact shock machine 238 6.4. Pneumatic machines 239 6.5. Specific testing facilities 241 6.6. Programmers 242 6.6.1. Half-sine pulse 242 6.6.2. TPS shock pulse 250 6.6.3. Square pulse − trapezoidal pulse 258 6.6.4. Universal shock programmer 258 Chapter 7. Generation of Shocks Using Shakers 267 7.1. Principle behind the generation of a signal with a simple shape versus time 267 7.2. Main advantages of the generation of shock using shakers 268 7.3. Limitations of electrodynamic shakers 269 7.3.1. Mechanical limitations 269 7.3.2. Electronic limitations 271 7.4. Remarks on the use of electrohydraulic shakers 271 7.5. Pre- and post-shocks 271 7.5.1. Requirements 271 7.5.2. Pre-shock or post-shock 273 7.5.3. Kinematics of the movement for symmetric pre- and post-shock 276 7.5.4. Kinematics of the movement for a pre-shock or a post-shock alone 286 7.5.5. Abacuses 288 7.5.6. Influence of the shape of pre- and post-pulses 289 7.5.7. Optimized pre- and post-shocks 292 7.6. Incidence of pre- and post-shocks on the quality of simulation 297 7.6.1. General 297 7.6.2. Influence of the pre- and post-shocks on the time history response of a one-degree-of-freedom system 297 7.6.3. Incidence on the shock response spectrum 300 Chapter 8. Control of a Shaker Using a Shock Response Spectrum 303 8.1. Principle of control using a shock response spectrum 303 8.1.1. Problems 303 8.1.2. Parallel filter method 304 8.1.3. Current numerical methods 305 8.2. Decaying sinusoid 310 8.2.1. Definition 310 8.2.2. Response spectrum 311 8.2.3. Velocity and displacement 314 8.2.4. Constitution of the total signal 315 8.2.5. Methods of signal compensation 316 8.2.6. Iterations 323 8.3. D.L. Kern and C.D. Hayes’ function 324 8.3.1. Definition 324 8.3.2. Velocity and displacement 325 8.4. ZERD function 326 8.4.1. Definition 326 8.4.2. Velocity and displacement 328 8.4.3. Comparison of ZERD waveform with standard decaying sinusoid 330 8.4.4. Reduced response spectra 330 8.5. WAVSIN waveform 332 8.5.1. Definition 332 8.5.2. Velocity and displacement 333 8.5.3. Response of a one-degree-of-freedom system 335 8.5.4. Response spectrum 338 8.5.5. Time history synthesis from shock spectrum 339 8.6. SHOC waveform 340 8.6.1. Definition 340 8.6.2. Velocity and displacement 342 8.6.3. Response spectrum 343 8.6.4. Time history synthesis from shock spectrum 345 8.7. Comparison of WAVSIN, SHOC waveforms and decaying sinusoid 346 8.8. Waveforms based on the cosm(x) window 346 8.9. Use of a fast swept sine 348 8.10. Problems encountered during the synthesis of the waveforms 351 8.11. Criticism of control by SRS 353 8.12. Possible improvements 357 8.12.1. IES proposal 357 8.12.2. Specification of a complementary parameter 358 8.12.3. Remarks on the properties of the response spectrum 363 8.13. Estimate of the feasibility of a shock specified by its SRS363 8.13.1. C.D. Robbins and E.P. Vaughan’s method 363 8.13.2. Evaluation of the necessary force, power and stroke 365 Chapter 9. Simulation of Pyroshocks 371 9.1. Simulations using pyrotechnic facilities 371 9.2. Simulation using metal to metal impact 375 9.3. Simulation using electrodynamic shakers 377 9.4. Simulation using conventional shock machines 378 Appendix. Similitude in Mechanics 381 A1. Conservation of materials 381 A2. Conservation of acceleration and stress 383 Mechanical Shock Tests: A Brief Historical Background 385 Bibliography 387 Index 407 Summary of other Volumes in the series 413

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  • Mechanical Vibration and Shock Analysis, Random

    ISTE Ltd and John Wiley & Sons Inc Mechanical Vibration and Shock Analysis, Random

    15 in stock

    Book SynopsisThe vast majority of vibrations encountered in the real environment are random in nature. Such vibrations are intrinsically complicated and this volume describes the process that enables us to simplify the required analysis, along with the analysis of the signal in the frequency domain. The power spectrum density is also defined, together with the requisite precautions to be taken in its calculations as well as the processes (windowing, overlapping) necessary to obtain improved results. An additional complementary method – the analysis of statistical properties of the time signal – is also described. This enables the distribution law of the maxima of a random Gaussian signal to be determined and simplifies the calculation of fatigue damage by avoiding direct peak counting.Table of ContentsForeword to Series xiii Introduction xvii List of Symbols xix Chapter 1 Statistical Properties of a Random Process 1 1.1 Definitions 1 1.1.1 Random variable 1 1.1.2 Random process 2 1.2 Random vibration in real environments 2 1.3 Random vibration in laboratory tests 3 1.4 Methods of random vibration analysis 3 1.5 Distribution of instantaneous values 5 1.5.1 Probability density 5 1.5.2 Distribution function 6 1.6 Gaussian random process 7 1.7 Rayleigh distribution 12 1.8 Ensemble averages: through the process 12 1.8.1 n order average 12 1.8.2 Centered moments 14 1.8.3 Variance 14 1.8.4 Standard deviation 15 1.8.5 Autocorrelation function 16 1.8.6 Cross-correlation function 16 1.8.7 Autocovariance 17 1.8.8 Covariance 17 1.8.9 Stationarity 17 1.9 Temporal averages: along the process 23 1.9.1 Mean 23 1.9.2 Quadratic mean – rms value 25 1.9.3 Moments of order n 27 1.9.4 Variance – standard deviation 28 1.9.5 Skewness 29 1.9.6 Kurtosis 30 1.9.7 Crest Factor 33 1.9.8 Temporal autocorrelation function 33 1.9.9 Properties of the autocorrelation function 39 1.9.10 Correlation duration 41 1.9.11 Cross-correlation 47 1.9.12 Cross-correlation coefficient 50 1.9.13 Ergodicity 50 1.10 Significance of the statistical analysis (ensemble or temporal) 52 1.11 Stationary and pseudo-stationary signals 52 1.12 Summary chart of main definitions 53 1.13 Sliding mean 54 1.14 Test of stationarity 58 1.14.1 The reverse arrangements test (RAT) 58 1.14.2 The runs test 61 1.15 Identification of shocks and/or signal problems 65 1.16 Breakdown of vibratory signal into “events”: choice of signal samples 68 1.17 Interpretation and taking into account of environment variation 75 Chapter 2 Random Vibration Properties in the Frequency Domain 79 2.1 Fourier transform 79 2.2 Power spectral density 81 2.2.1 Need 81 2.2.2 Definition 82 2.3 Amplitude Spectral Density 89 2.4 Cross-power spectral density 89 2.5 Power spectral density of a random process 90 2.6 Cross-power spectral density of two processes 91 2.7 Relationship between the PSD and correlation function of a process 93 2.8 Quadspectrum – cospectrum 93 2.9 Definitions 94 2.9.1 Broadband process 94 2.9.2 White noise 95 2.9.3 Band-limited white noise 95 2.9.4 Narrow band process 96 2.9.5 Colors of noise 97 2.10 Autocorrelation function of white noise 98 2.11 Autocorrelation function of band-limited white noise 99 2.12 Peak factor 101 2.13 Effects of truncation of peaks of acceleration signal on the PSD 101 2.14 Standardized PSD/density of probability analogy 105 2.15 Spectral density as a function of time106 2.16 Sum of two random processes 106 2.17 Relationship between the PSD of the excitation and the response of a linear system 108 2.18 Relationship between the PSD of the excitation and the cross-power spectral density of the response of a linear system 111 2.19 Coherence function 112 2.20 Transfer function calculation from random vibration measurements 114 2.20.1 Theoretical relations 114 2.20.2 Presence of noise on the input 116 2.20.3 Presence of noise on the response 118 2.20.4 Presence of noise on the input and response 120 2.20.5 Choice of transfer function 121 Chapter 3 Rms Value of Random Vibration 127 3.1 Rms value of a signal as a function of its PSD 127 3.2 Relationships between the PSD of acceleration, velocity and displacement 131 3.3 Graphical representation of the PSD 133 3.4 Practical calculation of acceleration, velocity and displacement rms values 135 3.4.1 General expressions 135 3.4.2 Constant PSD in frequency interval 135 3.4.3 PSD comprising several horizontal straight line segments 137 3.4.4 PSD defined by a linear segment of arbitrary slope 137 3.4.5 PSD comprising several segments of arbitrary slopes 147 3.5 Rms value according to the frequency 147 3.6 Case of periodic signals 149 3.7 Case of a periodic signal superimposed onto random noise 151 Chapter 4 Practical Calculation of the Power Spectral Density 153 4.1 Sampling of signal 153 4.2 PSD calculation methods 158 4.2.1 Use of the autocorrelation function 158 4.2.2 Calculation of the PSD from the rms value of a filtered signal 158 4.2.3 Calculation of PSD starting from a Fourier transform 159 4.3 PSD calculation steps 160 4.3.1 Maximum frequency 160 4.3.2 Extraction of sample of duration T160 4.3.3 Averaging 167 4.3.4 Addition of zeros 170 4.4 FFT 175 4.5 Particular case of a periodic excitation 177 4.6 Statistical error 178 4.6.1 Origin 178 4.6.2 Definition 180 4.7 Statistical error calculation 180 4.7.1 Distribution of the measured PSD 180 4.7.2 Variance of the measured PSD 183 4.7.3 Statistical error 183 4.7.4 Relationship between number of degrees of freedom, duration and bandwidth of analysis 184 4.7.5 Confidence interval 190 4.7.6 Expression for statistical error in decibels 202 4.7.7 Statistical error calculation from digitized signal 204 4.8 Influence of duration and frequency step on the PSD 212 4.8.1 Influence of duration 212 4.8.2 Influence of the frequency step 213 4.8.3 Influence of duration and of constant statistical error frequency step 214 4.9 Overlapping 216 4.9.1 Utility 216 4.9.2 Influence on the number of degrees of freedom 217 4.9.3 Influence on statistical error 218 4.9.4 Choice of overlapping rate 221 4.10 Information to provide with a PSD 222 4.11 Difference between rms values calculated from a signal according to time and from its PSD 222 4.12 Calculation of a PSD from a Fourier transform 223 4.13 Amplitude based on frequency: relationship with the PSD 227 4.14 Calculation of the PSD for given statistical error 228 4.14.1 Case study: digitization of a signal is to be carried out 228 4.14.2 Case study: only one sample of an already digitized signal is available 230 4.15 Choice of filter bandwidth 231 4.15.1 Rules 231 4.15.2 Bias error 233 4.15.3 Maximum statistical error 238 4.15.4 Optimum bandwidth 240 4.16 Probability that the measured PSD lies between ± one standard deviation 243 4.17 Statistical error: other quantities 245 4.18 Peak hold spectrum 250 4.19 Generation of random signal of given PSD 252 4.19.1 Random phase sinusoid sum method 252 4.19.2 Inverse Fourier transform method 255 4.20 Using a window during the creation of a random signal from a PSD 256 Chapter 5 Statistical Properties of Random Vibration in the Time Domain 259 5.1 Distribution of instantaneous values 259 5.2 Properties of derivative process 260 5.3 Number of threshold crossings per unit time 264 5.4 Average frequency 269 5.5 Threshold level crossing curves 272 5.6 Moments 279 5.7 Average frequency of PSD defined by straight line segments 282 5.7.1 Linear-linear scales 282 5.7.2 Linear-logarithmic scales 284 5.7.3 Logarithmic-linear scales 285 5.7.4 Logarithmic-logarithmic scales 286 5.8 Fourth moment of PSD defined by straight line segments 288 5.8.1 Linear-linear scales 288 5.8.2 Linear-logarithmic scales 289 5.8.3 Logarithmic-linear scales 290 5.8.4 Logarithmic-logarithmic scales 291 5.9 Generalization: moment of order n 292 5.9.1 Linear-linear scales 292 5.9.2 Linear-logarithmic scales 292 5.9.3 Logarithmic-linear scales 292 5.9.4 Logarithmic-logarithmic scales 293 Chapter 6 Probability Distribution of Maxima of Random Vibration 295 6.1 Probability density of maxima 295 6.2 Moments of the maxima probability distribution 303 6.3 Expected number of maxima per unit time 304 6.4 Average time interval between two successive maxima 307 6.5 Average correlation between two successive maxima 308 6.6 Properties of the irregularity factor 309 6.6.1 Variation interval 309 6.6.2 Calculation of irregularity factor for band-limited white noise 313 6.6.3 Calculation of irregularity factor for noise of form G = Const.f b 316 6.6.4 Case study: variations of irregularity factor for two narrowband signals 320 6.7 Error related to the use of Rayleigh’s law instead of a complete probability density function 321 6.8 Peak distribution function 323 6.8.1 General case 323 6.8.2 Particular case of narrowband Gaussian process 325 6.9 Mean number of maxima greater than the given threshold (by unit time) 328 6.10 Mean number of maxima above given threshold between two times 331 6.11 Mean time interval between two successive maxima 331 6.12 Mean number of maxima above given level reached by signal excursion above this threshold 332 6.13 Time during which the signal is above a given value 335 6.14 Probability that a maximum is positive or negative 337 6.15 Probability density of the positive maxima 337 6.16 Probability that the positive maxima is lower than a given threshold 338 6.17 Average number of positive maxima per unit of time 338 6.18 Average amplitude jump between two successive extrema 339 6.19 Average number of inflection points per unit of time 341 Chapter 7 Statistics of Extreme Values 343 7.1 Probability density of maxima greater than a given value 343 7.2 Return period 344 7.3 Peak lp expected among Np peaks 344 7.4 Logarithmic rise 345 7.5 Average maximum of Np peaks 346 7.6 Variance of maximum 346 7.7 Mode (most probable maximum value) 346 7.8 Maximum value exceeded with risk α 346 7.9 Application to the case of a centered narrowband normal process 346 7.9.1 Distribution function of largest peaks over duration T 346 7.9.2 Probability that one peak at least exceeds a given threshold 349 7.9.3 Probability density of the largest maxima over duration T 350 7.9.4 Average of highest peaks 353 7.9.5 Mean value probability 355 7.9.6 Standard deviation of highest peaks 356 7.9.7 Variation coefficient 357 7.9.8 Most probable value 358 7.9.9 Median 358 7.9.10 Value of density at mode 360 7.9.11 Value of distribution function at mode 361 7.9.12 Expected maximum 361 7.9.13 Maximum exceeded with given risk α 361 7.10 Wideband centered normal process 363 7.10.1 Average of largest peaks 363 7.10.2 Variance of the largest peaks 366 7.10.3 Variation coefficient 367 7.11 Asymptotic laws 368 7.11.1 Gumbel asymptote 368 7.11.2 Case study: Rayleigh peak distribution 369 7.11.3 Expressions for large values of Np 370 7.12 Choice of type of analysis 371 7.13 Study of the envelope of a narrowband process 374 7.13.1 Probability density of the maxima of the envelope 374 7.13.2 Distribution of maxima of envelope 379 7.13.3 Average frequency of envelope of narrowband noise 381 Chapter 8 Response of a One-Degree-of-Freedom Linear System to Random Vibration 385 8.1 Average value of the response of a linear system 385 8.2 Response of perfect bandpass filter to random vibration 386 8.3 The PSD of the response of a one-dof linear system 388 8.4 Rms value of response to white noise 389 8.5 Rms value of response of a linear one-degree of freedom system subjected to bands of random noise 395 8.5.1 Case where the excitation is a PSD defined by a straight line segment in logarithmic scales 395 8.5.2 Case where the vibration has a PSD defined by a straight line segment of arbitrary slope in linear scales 401 8.5.3 Case where the vibration has a constant PSD between two frequencies 404 8.5.4 Excitation defined by an absolute displacement 409 8.5.5 Case where the excitation is defined by PSD comprising n straight line segments 411 8.6 Rms value of the absolute acceleration of the response 414 8.7 Transitory response of a dynamic system under stationary random excitation 415 8.8 Transitory response of a dynamic system under amplitude modulated white noise excitation 423 Chapter 9 Characteristics of the Response of a One-Degree-of-Freedom Linear System to Random Vibration 427 9.1 Moments of response of a one-degree-of-freedom linear system: irregularity factor of response 427 9.1.1 Moments 427 9.1.2 Irregularity factor of response to noise of a constant PSD 431 9.1.3 Characteristics of irregularity factor of response 433 9.1.4 Case of a band-limited noise 444 9.2 Autocorrelation function of response displacement 445 9.3 Average numbers of maxima and minima per second 446 9.4 Equivalence between the transfer functions of a bandpass filter and a one-degree-of-freedom linear system 449 9.4.1 Equivalence suggested by D.M Aspinwall 449 9.4.2 Equivalence suggested by K.W Smith 451 9.4.3 Rms value of signal filtered by the equivalent bandpass filter 453 Chapter 10 First Passage at a Given Level of Response of a One-Degree-of-Freedom Linear System to a Random Vibration 455 10.1 Assumptions 455 10.2 Definitions 459 10.3 Statistically independent threshold crossings 460 10.4 Statistically independent response maxima 468 10.5 Independent threshold crossings by the envelope of maxima 472 10.6 Independent envelope peaks 476 10.6.1 S.H Crandall method 476 10.6.2 D.M Aspinwall method 479 10.7 Markov process assumption 486 10.7.1 W.D Mark assumption 486 10.7.2 J.N Yang and M Shinozuka approximation 493 10.8 E.H Vanmarcke model 494 10.8.1 Assumption of a two state Markov process 494 10.8.2 Approximation based on the mean clump size 500 Appendix 511 Bibliography 571 Index 591 Summary of Other Volumes in the Series 597

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    £161.95

  • Mechanical Vibration and Shock Analysis, Fatigue

    ISTE Ltd and John Wiley & Sons Inc Mechanical Vibration and Shock Analysis, Fatigue

    15 in stock

    Book SynopsisFatigue damage in a system with one degree of freedom is one of the two criteria applied when comparing the severity of vibratory environments. The same criterion is also used for a specification representing the effects produced by the set of vibrations imposed in a real environment. In this volume, which is devoted to the calculation of fatigue damage, Christian Lalanne explores the hypotheses adopted to describe the behavior of material affected by fatigue and the laws of fatigue accumulation. The author also considers the methods for counting response peaks, which are used to establish the histogram when it is not possible to use the probability density of the peaks obtained with a Gaussian signal. The expressions for mean damage and its standard deviation are established and other hypotheses are tested.Table of ContentsForeword to Series xiii Introduction xvii List of Symbols xix Chapter 1. Concepts of Material Fatigue 1 1.1. Introduction 1 1.1.1. Reminders on the strength of materials 1 1.1.2. Fatigue 9 1.2. Types of dynamic loads (or stresses) 10 1.2.1. Cyclic stress 10 1.2.2. Alternating stress 12 1.2.3. Repeated stress 13 1.2.4. Combined steady and cyclic stress 13 1.2.5. Skewed alternating stress 14 1.2.6. Random and transitory stresses 14 1.3. Damage arising from fatigue 15 1.4. Characterization of endurance of materials 18 1.4.1. S-N curve 18 1.4.2. Influence of the average stress on the S-N curve 21 1.4.3. Statistical aspect 22 1.4.4. Distribution laws of endurance 23 1.4.5. Distribution laws of fatigue strength 26 1.4.6. Relation between fatigue limit and static properties of materials 28 1.4.7. Analytical representations of S-N curve 31 1.5. Factors of influence 41 1.5.1. General 41 1.5.2. Scale 42 1.5.3. Overloads 43 1.5.4. Frequency of stresses 44 1.5.5. Types of stresses 45 1.5.6. Non-zero mean stress 45 1.6. Other representations of S-N curves 48 1.6.1. Haigh diagram 48 1.6.2. Statistical representation of Haigh diagram 58 1.7. Prediction of fatigue life of complex structures 58 1.8. Fatigue in composite materials 59 Chapter 2. Accumulation of Fatigue Damage 61 2.1. Evolution of fatigue damage 61 2.2. Classification of various laws of accumulation 62 2.3. Miner’s method 63 2.3.1. Miner’s rule 63 2.3.2. Scatter of damage to failure as evaluated by Miner 67 2.3.3. Validity of Miner’s law of accumulation of damage in case of random stress 71 2.4. Modified Miner’s theory 73 2.4.1. Principle 73 2.4.2. Accumulation of damage using modified Miner’s rule 74 2.5. Henry’s method 77 2.6. Modified Henry’s method 79 2.7. Corten and Dolan’s method 79 2.8. Other theories 82 Chapter 3. Counting Methods for Analyzing Random Time History 85 3.1. General 85 3.2. Peak count method89 3.2.1. Presentation of method 89 3.2.2. Derived methods 92 3.2.3. Range-restricted peak count method 93 3.2.4. Level-restricted peak count method 93 3.3. Peak between mean-crossing count method 95 3.3.1. Presentation of method 95 3.3.2. Elimination of small variations 97 3.4. Range count method 98 3.4.1. Presentation of method 98 3.4.2. Elimination of small variations 100 3.5. Range-mean count method 101 3.5.1. Presentation of method 101 3.5.2. Elimination of small variations 104 3.6. Range-pair count method 106 3.7. Hayes’ counting method110 3.8. Ordered overall range counting method 112 3.9. Level-crossing count method 114 3.10. Peak valley peak counting method 118 3.11. Fatigue-meter counting method 123 3.12. Rainflow counting method 125 3.12.1. Principle of method 126 3.12.2. Subroutine for rainflow counting 131 3.13. NRL (National Luchtvaart Laboratorium) counting method 134 3.14. Evaluation of time spent at a given level 137 3.15. Influence of levels of load below fatigue limit on fatigue life 138 3.16. Test acceleration 138 3.17. Presentation of fatigue curves determined by random vibration tests 141 Chapter 4. Fatigue Damage by One-degree-of-freedom Mechanical System 143 4.1. Introduction 143 4.2. Calculation of fatigue damage due to signal versus time 144 4.3. Calculation of fatigue damage due to acceleration spectral density 146 4.3.1. General case 146 4.3.2. Particular case of a wideband response, e.g. at the limit r ?­ 0 151 4.3.3. Particular case of narrowband response 152 4.3.4. Rms response to narrowband noise G0 of width ?´f when G0 ?´ f ?­ constant 164 4.3.5. Steinberg approach 165 4.4. Equivalent narrowband noise 166 4.4.1. Use of relation established for narrowband response 167 4.4.2. Alternative: use of mean number of maxima per second 169 4.5. Calculation of damage from the modified Rice distribution of peaks 171 4.5.1. Approximation to real maxima distribution using a modified Rayleigh distribution 171 4.5.2. Wirsching and Light’s approach 175 4.5.3. Chaudhury and Dover’s approach 176 4.5.4. Approximate expression of the probability density of peaks 180 4.6. Other approaches 182 4.7. Calculation of fatigue damage from rainflow domains 185 4.7.1. Wirsching’s approach 185 4.7.2. Tunna’s approach 189 4.7.3. Ortiz-Chen’s method 191 4.7.4. Hancock’s approach 191 4.7.5. Abdo and Rackwitz’s approach 192 4.7.6. Kam and Dover’s approach 192 4.7.7. Larsen and Lutes (“single moment”) method 193 4.7.8. Jiao-Moan’s method 194 4.7.9. Dirlik’s probability density 195 4.7.10. Madsen’s approach 207 4.7.11. Zhao and Baker model 207 4.7.12. Tovo and Benasciutti method 208 4.8. Comparison of S-N curves established under sinusoidal and random loads 211 4.9. Comparison of theory and experiment 216 4.10. Influence of shape of power spectral density and value of irregularity factor 221 4.11. Effects of peak truncation 221 4.12. Truncation of stress peaks 222 4.12.1. Particular case of a narrowband noise 223 4.12.2. Layout of the S-N curve for a truncated distribution 232 Chapter 5. Standard Deviation of Fatigue Damage 237 5.1. Calculation of standard deviation of damage: Bendat’s method 237 5.2. Calculation of standard deviation of damage: Mark’s method 242 5.3. Comparison of Mark and Bendat’s results 247 5.4. Standard deviation of the fatigue life 253 5.4.1. Narrowband vibration 253 5.4.2. Wideband vibration 256 5.5. Statistical S-N curves 257 5.5.1. Definition of statistical curves 257 5.5.2. Bendat’s formulation 258 5.5.3. Mark’s formulation. 261 Chapter 6. Fatigue Damage using Other Calculation Assumptions 267 6.1. S-N curve represented by two segments of a straight line on logarithmic scales (taking into account fatigue limit) 267 6.2. S-N curve defined by two segments of straight line on log-lin scales 270 6.3. Hypothesis of non-linear accumulation of damage 273 6.3.1. Corten-Dolan’s accumulation law 273 6.3.2. Morrow’s accumulation model 275 6.4. Random vibration with non-zero mean: use of modified Goodman diagram 277 6.5. Non-Gaussian distribution of instantaneous values of signal 280 6.5.1. Influence of distribution law of instantaneous values 280 6.5.2. Influence of peak distribution 281 6.5.3. Calculation of damage using Weibull distribution 281 6.5.4. Comparison of Rayleigh assumption/peak counting 284 6.6. Non-linear mechanical system 286 Chapter 7. Low-cycle Fatigue 289 7.1. Overview 289 7.2. Definitions 290 7.2.1. Baushinger effect 290 7.2.2. Cyclic strain hardening 291 7.2.3. Properties of cyclic stress–strain curves 291 7.2.4. Stress–strain curve 291 7.2.5. Hysteresis and fracture by fatigue 295 7.2.6. Significant factors influencing hysteresis and fracture by fatigue 295 7.2.7. Cyclic stress–strain curve (or cyclic consolidation curve) 296 7.3. Behavior of materials experiencing strains in the oligocyclic domain 297 7.3.1. Types of behaviors 297 7.3.2. Cyclic strain hardening 297 7.3.3. Cyclic strain softening 299 7.3.4. Cyclically stable metals 300 7.3.5. Mixed behavior 301 7.4. Influence of the level application sequence 301 7.5. Development of the cyclic stress–strain curve 303 7.6. Total strain 304 7.7. Fatigue strength curve 305 7.8. Relation between plastic strain and number of cycles to fracture 306 7.8.1. Orowan relation 306 7.8.2. Manson relation 307 7.8.3. Coffin relation 307 7.8.4. Shanley relation 317 7.8.5. Gerberich relation 318 7.8.6. Sachs, Gerberich, Weiss and Latorre relation 318 7.8.7. Martin relation 318 7.8.8. Tavernelli and Coffin relation 319 7.8.9. Manson relation 319 7.8.10. Ohji et al. relation 321 7.8.11. Bui-Quoc et al. relation 321 7.9. Influence of the frequency and temperature in the plastic field 321 7.9.1. Overview 321 7.9.2. Influence of frequency 322 7.9.3. Influence of temperature and frequency 322 7.9.4. Effect of frequency on plastic strain range 324 7.9.5. Equation of generalized fatigue 325 7.10. Laws of damage accumulation 326 7.10.1. Miner rule 326 7.10.2. Yao and Munse relation 327 7.10.3. Use of the Manson–Coffin relation 329 7.11. Influence of an average strain or stress 329 7.12. Low-cycle fatigue of composite material 332 Chapter 8. Fracture Mechanics 335 8.1. Overview 335 8.2. Fracture mechanism 338 8.2.1. Major phases 338 8.2.2. Initiation of cracks 339 8.2.3. Slow propagation of cracks 341 8.3. Critical size: strength to fracture 341 8.4. Modes of stress application 343 8.5. Stress intensity factor 344 8.5.1. Stress in crack root 344 8.5.2. Mode I 346 8.5.3. Mode II 349 8.5.4. Mode III 350 8.5.5. Field of equation use 350 8.5.6. Plastic zone 352 8.5.7. Other form of stress expressions 354 8.5.8. General form 356 8.5.9. Widening of crack opening 357 8.6. Fracture toughness: critical K value 358 8.7. Calculation of the stress intensity factor 362 8.8. Stress ratio 365 8.9. Expansion of cracks: Griffith criterion 367 8.10. Factors affecting the initiation of cracks 369 8.11. Factors affecting the propagation of cracks 369 8.11.1. Mechanical factors 370 8.11.2. Geometric factors 372 8.11.3. Metallurgical factors 373 8.11.4. Factors linked to the environment 373 8.12. Speed of propagation of cracks 374 8.13. Effect of a non-zero mean stress 379 8.14. Laws of crack propagation 379 8.14.1. Head law 380 8.14.2. Modified Head law 381 8.14.3. Frost and Dugsdale 381 8.14.4. McEvily and Illg 382 8.14.5. Paris and Erdogan 383 8.15. Stress intensity factor 396 8.16. Dispersion of results 397 8.17. Sample tests: extrapolation to a structure 398 8.18. Determination of the propagation threshold KS 398 8.19. Propagation of cracks in the domain of low-cycle fatigue 400 8.20. Integral J 401 8.21. Overload effect: fatigue crack retardation 403 8.22. Fatigue crack closure 405 8.23. Rules of similarity 407 8.24. Calculation of a useful lifetime 407 8.25. Propagation of cracks under random load 410 8.25.1. Rms approach 411 8.25.2. Narrowband random loads 416 8.25.3. Calculation from a load collective 422 Appendix 427 Bibliography 441 Index 487 Summary of Other Volumes in the Series 491

    15 in stock

    £161.95

  • Micromechanics of Fracture and Damage

    ISTE Ltd and John Wiley & Sons Inc Micromechanics of Fracture and Damage

    15 in stock

    Book SynopsisThis book deals with the mechanics and physics of fractures at various scales. Based on advanced continuum mechanics of heterogeneous media, it develops a rigorous mathematical framework for single macrocrack problems as well as for the effective properties of microcracked materials. In both cases, two geometrical models of cracks are examined and discussed: the idealized representation of the crack as two parallel faces (the Griffith crack model), and the representation of a crack as a flat elliptic or ellipsoidal cavity (the Eshelby inhomogeneity problem). The book is composed of two parts: The first part deals with solutions to 2D and 3D problems involving a single crack in linear elasticity. Elementary solutions of cracks problems in the different modes are fully worked. Various mathematical techniques are presented, including Neuber-Papkovitch displacement potentials, complex analysis with conformal mapping and Eshelby-based solutions. The second part is devoted to continuum micromechanics approaches of microcracked materials in relation to methods and results presented in the first part. Various estimates and bounds of the effective elastic properties are presented. They are considered for the formulation and application of continuum micromechanics-based damage models. Table of ContentsNotations xiii Preface xv Part 1. Elastic Solutions to Single Crack Problems 1 Chapter 1. Fundamentals of Plane Elasticity 3 1.1. Complex representation of Airy’s biharmonic stress function 3 1.2. Force acting on a curve or an element of arc 7 1.3. Derivation of stresses 9 1.4. Derivation of displacements 11 1.5. General form of the potentials φ and ψ 12 1.6. Examples 15 1.6.1. Circular cavity under pressure 15 1.6.2. Circular cavity in a plane subjected to uniaxial traction at infinity 16 1.7. Conformal mapping 18 1.7.1. Application of conformal mapping to plane elasticity problems 18 1.7.2. The domain Σ is the unit disc |ζ| ≤ 1 20 1.7.3. The domain Σ is the complement Σ− of the unit disc 23 1.8. The anisotropic case 26 1.8.1. General features 26 1.8.2. Stresses, displacements and boundary conditions 28 1.9. Appendix: mathematical tools 29 1.9.1. Theorem 1 30 1.9.2. Theorem 2 31 1.9.3. Theorem 3 31 Chapter 2. Fundamentals of Elasticity in View of Homogenization Theory 33 2.1. Green's function concept 33 2.2. Green’s function in two-dimensional conditions 34 2.2.1. The general anisotropic case 34 2.2.2. The isotropic case 35 2.3. Green’s function in three-dimensional conditions 38 2.3.1. The general anisotropic case 38 2.3.2. The isotropic case 39 2.4. Eshelby’s problems in linear microelasticity 41 2.4.1. The (elastic) inclusion problem 41 2.4.2. The Green operator of the infinite space 44 2.4.3. The Green operator of a finite domain 48 2.4.4. The inhomogeneity problem 50 2.4.5. The inhomogeneity problem with stress boundary conditions 51 2.4.6. The infinite heterogeneous elastic medium 52 2.5. Hill tensor for the elliptic inclusion 54 2.5.1. Properties of the logarithmic potential 54 2.5.2. Integration of the r,ir,l term 57 2.5.3. Components of the Hill tensor 59 2.6. Hill’s tensor for the spheroidal inclusion 60 2.6.1. Components of the Hill tensor 63 2.6.2. Series expansions of the components of the Hill tensor for flat spheroids 64 2.7. Appendix 65 2.8. Appendix: derivation of the χij 67 Chapter 3. Two-dimensional Griffith Crack 71 3.1. Stress singularity at crack tip 72 3.1.1. Stress singularity in plane elasticity: modes I and II 73 3.1.2. Stress singularity in antiplane problems in elasticity: mode III 78 3.2. Solution to mode I problem 80 3.2.1. Solution of PI 82 3.2.2. Solution of PI 90 3.2.3. Displacement jump across the crack surfaces 91 3.3. Solution to mode II problem 92 3.3.1. Solution of PII 93 3.3.2. Solution of PII 96 3.3.3. Displacement jump across the crack surfaces 97 3.4. Appendix: Abel’s integral equation 98 3.5. Appendix: Neuber–Papkovitch displacement potentials 101 Chapter 4. The Elliptic Crack Model in Plane Strains 103 4.1. The infinite plane with elliptic hole 103 4.1.3. Elliptic cavity in a plane subjected to a remote stress state at infinity 107 4.1.4. Stress intensity factors 108 4.1.5. Some remarks on unilateral contact 111 4.2. Infinite plane with elliptic hole: the anisotropic case 112 4.2.1. General properties 112 4.2.2. Complex potentials for an elliptic cavity in the presence of traction at infinity 115 4.2.3. Complex potentials for an elliptic cavity in the case of shear at infinity 116 4.2.5. Displacement discontinuities 121 4.2.6. Closed cracks 123 4.3. Eshelby approach 130 4.3.1. Mode I 130 4.3.2. Mode II 133 Chapter 5. Griffith Crack in 3D 137 5.1. Griffith circular (penny-shaped) crack in mode I 138 5.1.1. Solution of PI 139 5.1.2. Solution of PI 143 5.2. Griffith circular (penny-shaped) crack under shear loading 144 5.2.1. Solution of PII 146 5.2.2. Solution of PII 151 Chapter 6. Ellipsoidal Crack Model: the Eshelby Approach 155 6.1. Mode I 156 6.2. Mode II 159 Chapter 7. Energy Release Rate and Conditions for Crack Propagation 163 7.1. Driving force of crack propagation 163 7.2. Stress intensity factor and energy release rate 167 Part 2. Homogenization of Microcracked Materials 173 Chapter 8. Fundamentals of Continuum Micromechanics 175 8.1. Scale separation 175 8.2. Inhomogeneity model for cracks 177 8.2.1. Uniform strain boundary conditions 177 8.2.2. Uniform stress boundary conditions 181 8.2.3. Linear elasticity with uniform strain boundary conditions 182 8.2.4. Linear elasticity with uniform stress boundary conditions 185 8.3. General results on homogenization with Griffith cracks 187 8.3.1. Hill’s lemma with Griffith cracks 187 8.3.2. Uniform strain boundary conditions 188 8.3.3. Uniform stress boundary conditions 190 8.3.4. Derivation of effective properties in linear elasticity: principle of the approach 190 8.3.5. Appendix 194 Chapter 9. Homogenization of Materials Containing Griffith Cracks 197 9.1. Dilute estimates in isotropic conditions 197 9.1.1. Stress-based dilute estimate of stiffness 199 9.1.2. Stress-based dilute estimate of stiffness with closed cracks 202 9.1.3. Strain-based dilute estimate of stiffness with opened cracks 204 9.1.4. Strain-based dilute estimate of stiffness with closed cracks 205 9.2. A refined strain-based scheme 206 9.3. Homogenization in plane strain conditions for anisotropic materials 208 9.3.1. Opened cracks 208 9.3.2. Closed cracks 211 Chapter 10. Eshelby-based Estimates of Strain Concentration and Stiffness 213 10.1. Dilute estimate of the strain concentration tensor: general features 213 10.1.1. The general case 213 10.2. The particular case of opened cracks 215 10.2.1. Spheroidal crack 215 10.2.2. Elliptic crack 216 10.2.3. Crack opening change 218 10.3. Dilute estimates of the effective stiffness for opened cracks 220 10.3.1. Opened parallel cracks 222 10.3.2. Opened randomly oriented cracks 224 10.4. Dilute estimates of the effective stiffness for closed cracks 226 10.4.1. Closed parallel cracks 228 10.4.2. Closed randomly oriented cracks 228 10.5. Mori–Tanaka estimate of the effective stiffness 229 10.5.1. Opened cracks 231 10.5.2. Closed cracks 233 Chapter 11. Stress-based Estimates of Stress Concentration and Compliance 235 11.1. Dilute estimate of the stress concentration tensor 235 11.2. Dilute estimates of the effective compliance for opened cracks 236 11.2.1. Opened parallel cracks 237 11.2.2. Opened randomly oriented cracks 239 11.2.3. Discussion 239 11.3. Dilute estimate of the effective compliance for closed cracks 240 11.3.1. 3D case 241 11.3.2. 2D case 242 11.3.3. Stress concentration tensor 243 11.3.4. Comparison with other estimates 244 11.4. Mori–Tanaka estimates of effective compliance 244 11.4.1. Opened cracks 246 11.4.2. Closed cracks 246 11.5. Appendix: algebra for transverse isotropy and applications 246 Chapter 12. Bounds 251 12.1. The energy definition of the homogenized stiffness 252 12.2. Hashin–Shtrikman’s bound 255 12.2.1. Hashin–Shtrikman variational principle 255 12.2.2. Piecewise constant polarization field 259 12.2.3. Random microstructures 261 12.2.4. Application of the Ponte-Castaneda and Willis (PCW) bound to microcracked media 270 Chapter 13. Micromechanics-based Damage Constitutive Law and Application 273 13.1. Formulation of damage constitutive law 273 13.1.1. Description of damage level by a single scalar variable 274 13.1.2. Extension to multiple cracks 276 13.2. Some remarks concerning the loss of uniqueness of the mechanical response in relation to damage 277 13.3. Mechanical fields and damage in a hollow sphere subjected to traction 280 13.3.1. General features 280 13.3.2. Case of damage model based on the dilute estimate 284 13.3.3. Complete solution in the case of the damage model based on PCW estimate 285 13.4. Stability of the solution to damage evolution in a hollow sphere 296 13.4.1. The MT damage model 298 13.4.2. The general damage model [13.44] 300 Bibliography 305 Index 309

    15 in stock

    £125.06

  • Nanometer-scale Defect Detection Using Polarized

    ISTE Ltd and John Wiley & Sons Inc Nanometer-scale Defect Detection Using Polarized

    1 in stock

    Book SynopsisThis book describes the methods used to detect material defects at the nanoscale. The authors present different theories, polarization states and interactions of light with matter, in particular optical techniques using polarized light. Combining experimental techniques of polarized light analysis with techniques based on theoretical or statistical models to study faults or buried interfaces of mechatronic systems, the authors define the range of validity of measurements of carbon nanotube properties. The combination of theory and pratical methods presented throughout this book provide the reader with an insight into the current understanding of physicochemical processes affecting the properties of materials at the nanoscale.Table of ContentsPreface xi Chapter 1. Uncertainties 1 1.1. Introduction 1 1.2. The reliability based design approach 2 1.2.1. The MC method 2 1.2.2. The perturbation method 3 1.2.3. The polynomial chaos method 7 1.3. The design of experiments method 9 1.3.1. Principle 9 1.3.2. The Taguchi method 10 1.4. The set approach 14 1.4.1. The method of intervals 15 1.4.2. Fuzzy logic based method 18 1.5. Principal component analysis 20 1.5.1. Description of the process 21 1.5.2. Mathematical roots 22 1.5.3. Interpretation of results 22 1.6. Conclusions 23 Chapter 2. Reliability-based Design Optimization 25 2.1. Introduction 25 2.2. Deterministic design optimization 26 2.3. Reliability analysis 27 2.3.1. Optimal conditions 30 2.4. Reliability-based design optimization 31 2.4.1. The objective function 31 2.4.2. Total cost consideration 32 2.4.3. The design variables 33 2.4.4. Response of a system by RBDO 33 2.4.5. Limit states 33 2.4.6. Solution techniques 33 2.5. Application: optimization of materials of an electronic circuit board 34 2.5.1. Optimization problem 36 2.5.2. Optimization and uncertainties 39 2.5.3. Results analysis 43 2.6. Conclusions 44 Chapter 3. The Wave–Particle Nature of Light 47 3.1. Introduction 48 3.2. The optical wave theory of light according to Huyghens and Fresnel 49 3.2.1. The three postulates of wave optics 49 3.2.2. Luminous power and energy 51 3.2.3. The monochromatic wave 51 3.3. The electromagnetic wave according to Maxwell’s theory 52 3.3.1. The Maxwell equations 52 3.3.2. The wave equation according to the Coulomb’s gauge 56 3.3.3. The wave equation according to the Lorenz’s gauge 57 3.4. The quantum theory of light 57 3.4.1. The annihilation and creation operators of the harmonic oscillator 57 3.4.2. The quantization of the electromagnetic field and the potential vector 61 3.4.3. Field modes in the second quantization 66 Chapter 4. The Polarization States of Light 71 4.1. Introduction 71 4.2. The polarization of light by the matrix method 73 4.2.1. The Jones representation of polarization 76 4.2.2. The Stokes and Muller representation of polarization 81 4.3. Other methods to represent polarization 86 4.3.1. The Poincaré description of polarization 86 4.3.2. The quantum description of polarization 88 4.4. Conclusions 93 Chapter 5. Interaction of Light and Matter 95 5.1. Introduction 95 5.2. Classical models 97 5.2.1. The Drude model 103 5.2.2. The Sellmeir and Lorentz models 105 5.3. Quantum models for light and matter 111 5.3.1. The quantum description of matter 111 5.3.2. Jaynes–Cummings model 118 5.4. Semiclassical models 123 5.4.1. Tauc–Lorentz model 127 5.4.2. Cody–Lorentz model 130 5.5. Conclusions 130 Chapter 6. Experimentation and Theoretical Models 133 6.1. Introduction 134 6.2. The laser source of polarized light 135 6.2.1. Principle of operation of a laser 136 6.2.2. The specificities of light from a laser 141 6.3. Laser-induced fluorescence 143 6.3.1. Principle of the method 143 6.3.2. Description of the experimental setup 145 6.4. The DR method 145 6.4.1. Principle of the method 146 6.4.2. Description of the experimental setup 148 6.5. Theoretical model for the analysis of the experimental results 149 6.5.1. Radiative relaxation 152 6.5.2. Non-radiative relaxation 153 6.5.3. The theoretical model of induced fluorescence 160 6.5.4. The theoretical model of the thermal energy transfer 163 6.6. Conclusions 170 Chapter 7. Defects in a Heterogeneous Medium 173 7.1. Introduction 173 7.2. Experimental setup 175 7.2.1. Pump laser 176 7.2.2. Probe laser 176 7.2.3. Detection system 177 7.2.4. Sample preparation setup 180 7.3. Application to a model system 182 7.3.1. Inert noble gas matrix 182 7.3.2. Molecular system trapped in an inert matrix 184 7.3.3. Experimental results for the induced fluorescence 188 7.3.4. Experimental results for the double resonance 198 7.4. Analysis by means of theoretical models 203 7.4.1. Determination of experimental time constants 203 7.4.2. Theoretical model for the induced fluorescence 209 7.4.3. Theoretical model for the DR 214 7.5. Conclusions 216 Chapter 8. Defects at the Interfaces 219 8.1. Measurement techniques by ellipsometry 219 8.1.1. The extinction measurement technique 222 8.1.2. The measurement by rotating optical component technique 223 8.1.3. The PM measurement technique 224 8.2. Analysis of results by inverse method 225 8.2.1. The simplex method 232 8.2.2. The LM method 234 8.2.3. The quasi-Newton BFGS method 237 8.3. Characterization of encapsulating material interfaces of mechatronic assemblies 237 8.3.1. Coating materials studied and experimental protocol 239 8.3.2. Study of bulk coatings 241 8.3.3. Study of defects at the interfaces 244 8.3.4. Results analysis 251 8.4. Conclusions 253 Chapter 9. Application to Nanomaterials 255 9.1. Introduction 255 9.2. Mechanical properties of SWCNT structures by MEF 256 9.2.1. Young's modulus of SWCNT structures 258 9.2.2. Shear modulus of SWCNT structures 259 9.2.3. Conclusion on the modeling results 260 9.3. Characterization of the elastic properties of SWCNT thin films 260 9.3.1. Preparation of SWCNT structures 261 9.3.2. Nanoindentation 262 9.3.3. Experimental results 263 9.4. Bilinear model of thin film SWCNT structure 265 9.4.1. SWCNT thin film structure 266 9.4.2. Numerical models of thin film SWCNT structures 268 9.4.3. Numerical results 269 9.5. Conclusions 274 Bibliography 275 Index 293

    1 in stock

    £125.06

  • Laser Material Processing

    Springer London Ltd Laser Material Processing

    2 in stock

    Book SynopsisThe informal style of Laser Material Processing (4th Edition) will guide you smoothly from the basics of laser physics to the detailed treatment of all the major materials processing techniques for which lasers are now essential. • Helps you to understand how the laser works and to decide which laser is best for your purposes. • New chapters on laser physics, drilling, micro- and nanomanufacturing and biomedical laser processing reflect the changes in the field since the last edition, updating and completing the range of practical knowledge about the processes possible with lasers already familiar to established users of this well-known text. • Provides a firm grounding in the safety aspects of laser use. • Now with end-of-chapter exercises to help students assimilate information as they learn. • The authors’ lively presentation is supported by a number of original cartoons by Patrick Wright and Noel Ford which will bring a smile to your face and ease the learning process.Table of ContentsPrologue.- Background to Laser Design and General Applications.- Basic Laser Optics.- Laser Cutting, Drilling and Piercing.- Laser Welding.- Theory, Mathematical Modelling and Simulation.- Laser Surface Treatment.- Rapid Prototyping and Low-volume Manufacture.- Laser Ablative Processes – Macro- and Micromachining.- Laser Bending or Forming.- Laser Cleaning.- Biomedical Laser Processes and Equipment.- Laser Automation and In-process Sensing.- Laser Safety.- Epilogue.

    2 in stock

    £52.24

  • Reliability and Risk Assessment

    John Wiley & Sons Inc Reliability and Risk Assessment

    15 in stock

    Book SynopsisRisk assessment and risk analysis are now firmly fixed in the engineer’s lexicon. Every engineering project, contract, piece of equipment and design requires this discipline by law. Reliability is the other key element in the mix for smooth running engineering projects and operations. In the modern industrial era, economic factors have resulted in the construction and operation of larger and more complex process plant. Accidents at these types of plants have led to notorious incidents such as Flixborough, Bhopal, Chernobyl, and Piper Alpha. Engineers are working to maximize the benefits of modern processing technology while reducing the safety risks to acceptable levels. However, each processing plant has unique problems and each must be individually assessed to identify, evaluate, and control associated hazards. The first edition of Reliability and Risk Assessment was ahead of its time. The world has caught up with Andrews and Moss and this fully revised second edition takes the analysis further and brings a more practical slant with greater and extensive use of case studies. Reliability and Risk Assessment is for professional engineers but will also prove invaluable for postgraduate students involved in reliability and risk assessment research. KEY FEATURES: Rigourous mathmatical descriptions of the most important techniques, particularly fault tree analysis and Markov methods. Practical examples of the application of these techniques to real-life problems. Self-contained chapters detail methods of reliability and risk assessment. Worked examples clarify the text and highlight salient points. Three new detailed case studies include: FMECA for a gas turbine system; in-service inspection of structural components, and a business interruption risk analysis. Table of ContentsAn introduction to reliability and risk assessment; reliability mathematics; qualitative methods; failure mode and effects criticality analysis; quantification of component failure probabilities; reliability networks; qualitative fault tree analysis; common cause failures; maintainability; Markov analysis; simulation; reliability data collection and analysis; risk assessment; in-service inspection of structural components. (Part contents).

    15 in stock

    £122.35

  • Advanced Ultrasonic Methods for Material and

    ISTE Ltd and John Wiley & Sons Inc Advanced Ultrasonic Methods for Material and

    10 in stock

    Book SynopsisUltrasonic signals are increasingly being used for predicting material behavior, both in an engineering context (detecting anomalies in a variety of structures) and a biological context (examining human bones, body parts and unborn fetuses). Featuring contributions from authors who are specialists in their subject area, this book presents new developments in ultrasonic research in both these areas, including ultrasonic NDE and other areas which go beyond traditional imaging techniques of internal defects. As such, both those in the biological and physical science communities will find this an informative and stimulating read.Trade ReviewTribikram Kundu is a Professor at the Department of Civil Engineering and Engineering Mechanics, University of Arizona, USA.Table of ContentsPreface xiii Chapter 1. An Introduction to Failure Mechanisms and Ultrasonic Inspection 1Kumar V. JATA, Tribikram KUNDU and Triplicane A. PARTHASARATHY 1.1. Introduction 1 1.2. Issues in connecting failure mechanism, NDE and SHM 2 1.3. Physics of failure of metals 4 1.3.1. High level classification 4 1.3.1.1. Deformation 5 1.3.1.2. Fracture 5 1.3.1.3. Dynamic fatigue 6 1.3.1.4. Material loss 7 1.3.2. Second level classification 7 1.3.2.1. Deformation due to yield 7 1.3.2.2. Creep deformation and rupture 9 1.3.2.3. Static fracture 12 1.3.2.4. Fatigue 13 1.3.2.5. Corrosion 18 1.3.2.6. Oxidation 20 1.4. Physics of failure of ceramic matrix composites 21 1.4.1. Fracture 23 1.4.1.1. Mechanical loads and fatigue 23 1.4.1.2. Thermal gradients 24 1.4.1.3. Microstructural degradation 25 1.4.2. Material loss 25 1.5. Physics of failure and NDE 26 1.6. Elastic waves for NDE and SHM 26 1.6.1. Ultrasonic waves used for SHM 26 1.6.1.1. Bulk waves: longitudinal and shear waves 27 1.6.1.2. Guided waves: Rayleigh and Lamb waves, bar, plate and cylindrical guided waves 28 1.6.2. Active and passive ultrasonic inspection techniques 30 1.6.3. Transmitter-receiver arrangements for ultrasonic inspection 30 1.6.4. Different types of ultrasonic scanning 31 1.6.5. Guided wave inspection technique 32 1.6.5.1. One transmitter and one receiver arrangement 32 1.6.5.2. One transmitter and multiple receivers arrangement 35 1.6.5.3. Multiple transmitters and multiple receivers arrangement 36 1.6.6. Advanced techniques in ultrasonic NDE/SHM 36 1.6.6.1. Lazer ultrasonics 36 1.6.6.2. Measuring material non-linearity 37 1.7. Conclusion 38 1.8. Bibliography 38 Chapter 2. Health Monitoring of Composite Structures Using Ultrasonic Guided Waves 43Sauvik BANERJEE, Fabrizio RICCI, Frank SHIH and Ajit MAL 2.1. Introduction 43 2.2. Guided (Lamb) wave propagation in plates 46 2.2.1. Lamb waves in thin plates 51 2.2.2. Lamb waves in thick plates 55 2.3. Passive ultrasonic monitoring and characterization of low velocity impact damage in composite plates 60 2.3.1. Experimental set-up 60 2.3.2. Impact-acoustic emission test on a cross-ply composite plate 64 2.3.3. Impact test on a stringer stiffened composite panel 71 2.4. Autonomous active damage monitoring in composite plates 75 2.4.1. The damage index 76 2.4.2. Applications of the damage index approach 77 2.5. Conclusion 85 2.6. Bibliography 86 Chapter 3. Ultrasonic Measurement of Micro-acoustic Properties of the Biological Soft Materials 89Yoshifumi SAIJO 3.1. Introduction 89 3.2. Materials and methods 91 3.2.1. Acoustic microscopy between 100 and 200 MHz 91 3.2.2. Sound speed acoustic microscopy 95 3.2.3. Acoustic microscopy at 1.1 GHz 98 3.3. Results 99 3.3.1. Gastric cancer 99 3.3.2. Renal cell carcinoma 103 3.3.3. Myocardial infarction 104 3.3.4. Heart transplantation 106 3.3.5. Atherosclerosis 107 3.4. Conclusion 112 3.5. Bibliography 112 Chapter 4. Corrosion and Erosion Monitoring of Pipes by an Ultrasonic Guided Wave Method 115Geir INSTANES, Mads TOPPE, Balachander LAKSHMINARAYAN, and Peter B. NAGY 4.1. Introduction 115 4.2. Ultrasonic guided wave monitoring of average wall thickness in pipes 118 4.2.1. Guided wave inspection with dispersive Lamb-type guided modes 119 4.2.2. Averaging in CGV inspection 123 4.2.3. The influence of gating, true phase angle 129 4.2.4. Temperature influence on CGV guided wave inspection 132 4.2.5. Inversion of the average wall thickness in CGV guided wave inspection 134 4.2.6. Additional miscellaneous effects in CGV guided wave inspection 136 4.2.6.1. Fluid loading effects on CGV inspection 136 4.2.6.2. Surface roughness effects on CGV inspection 139 4.2.6.3. Pipe curvature effects on CGV inspection 141 4.3. Experimental validation 145 4.3.1. Laboratory tests 145 4.3.2. Field tests 151 4.4. Conclusion 153 4.5. Bibliography 155 Chapter 5. Modeling of the Ultrasonic Field of Two Transducers Immersed in a Homogenous Fluid Using the Distributed Point Source Method 159Rais AHMAD, Tribikram KUNDU and Dominique PLACKO 5.1. Introduction 159 5.2. Theory 160 5.2.1. Planar transducer modeling by the distribution of point source method 160 5.2.2. Computation of ultrasonic field in a homogenous fluid using DPSM 161 5.2.3. Matrix formulation 163 5.2.4. Modeling of ultrasonic field in a homogenous fluid in the presence of a solid scatterer 165 5.2.5. Interaction between two transducers in a homogenous fluid 169 5.3. Numerical results and discussion 171 5.3.1. Interaction between two parallel transducers 172 5.3.2. Interaction between an inclined and a flat transducer 184 5.3.3. Interaction between two inclined transducers 185 5.4. Conclusion 186 5.5. Acknowledgments 186 5.6. Bibliography 187 Chapter 6. Ultrasonic Scattering in Textured Polycrystalline Materials 189Liyong YANG, Goutam GHOSHAL and Joseph A. TURNER 6.1. Introduction 189 6.2. Preliminary elastodynamics 191 6.2.1. Ensemble average response 191 6.2.2. Spatial correlation function 195 6.3. Cubic crystallites with orthorhombic texture 197 6.3.1. Orientation distribution function 197 6.3.2. Effective elastic stiffness for rolling texture 199 6.3.3. Christoffel equation 201 6.3.4. Wave velocity and polarization 202 6.3.5. Phase velocity during annealing 207 6.3.6. Attenuation 210 6.4. Attenuation in hexagonal polycrystals with texture 215 6.4.1. Effective elastic stiffness for fiber texture 216 6.4.2. Attenuation 220 6.4.3. Numerical simulation 223 6.5. Diffuse backscatter in hexagonal polycrystals 229 6.6. Conclusion 232 6.7. Acknowledgments 233 6.8. Bibliography 233 Chapter 7. Embedded Ultrasonic NDE with Piezoelectric Wafer Active Sensors 237Victor GIURGIUTIU 7.1. Introduction to piezoelectric wafer active sensors 237 7.2. Guided-wave ultrasonic NDE and damage identification 240 7.3. PWAS ultrasonic transducers 242 7.4. Shear layer interaction between PWAS and structure 244 7.5. Tuned excitation of Lamb modes with PWAS transducers 246 7.6. PWAS phased arrays 249 7.7. Electromechanical impedance method for damage identification 255 7.8. Damage identification in aging aircraft panels 258 7.8.1. Classification of crack damage in the PWAS near-field 259 7.8.2. Classification of crack damage in the PWAS medium-field 260 7.8.2.1. Impact detection with piezoelectric wafer active sensors 263 7.8.2.2. Acoustic emission detection with piezoelectric wafer active sensors 266 7.9. PWAS Rayleigh waves NDE in rail tracks 268 7.10. Conclusion 268 7.11. Acknowledgments 269 7.12. Bibliography 269 Chapter 8. Mechanics Aspects of Non-linear Acoustic Signal Modulation due to Crack Damage 273Hwai-Chung WU and Kraig WARNEMUENDE 8.1. Introduction 273 8.1.1. Passive modulation spectrum 274 8.1.2. Active wave modulation 275 8.2. Damage in concrete 275 8.3. Stress wave modulation 280 8.3.1. Material non-linearity in concrete 281 8.3.2. Generation of non-linearity at crack interfaces 282 8.3.3. Unbonded planar crack interface in semi-infinite elastic media 289 8.3.4. Unbonded planar crack interface with multiple wave interaction 295 8.3.5. Plane crack with traction 301 8.3.6. Rough crack interface 307 8.4. Summary and conclusion 314 8.5. Bibliography 315 Chapter 9. Non-contact Mechanical Characterization and Testing of Drug Tablets 319Cetin CETINKAYA, Ilgaz AKSELI, Girindra N. MANI, Christopher F. LIBORDI and Ivin VARGHESE 9.1. Introduction 319 9.2. Drug tablet testing for mechanical properties and defects 321 9.2.1. Drug tablet as a composite structure: structure of a typical drug tablet 321 9.2.2. Basic manufacturing techniques: cores and coating layers 322 9.2.3. Tablet coating 323 9.2.4. Types and classifications of defects in tablets 325 9.2.5. Standard tablet testing methods 327 9.2.6. Review of other works 330 9.3. Non-contact excitation and detection of vibrational modes of drug tablets 332 9.3.1. Air-coupled excitation via transducers 334 9.3.2. LIP excitation via a pulsed lazer 336 9.3.3. Vibration plate excitation using direct pulsed lazer irradiation 338 9.3.4. Contact ultrasonic measurements 340 9.4. Mechanical quality monitoring and characterization 341 9.4.1. Basics of tablet integrity monitoring 341 9.4.2. Mechanical characterization of drug tablet materials 356 9.4.3. Numerical schemes for mechanical property determination 361 9.5. Conclusions, comments and discussions 365 9.6. Acknowledgments 367 9.7. Bibliography 367 Chapter 10. Split Hopkinson Bars for Dynamic Structural Testing 371Chul Jin SYN and Weinong W. CHEN 10.1. Introduction 371 10.2. Split Hopkinson bars 372 10.3. Using bar waves to determine fracture toughness 374 10.4. Determination of dynamic biaxial flexural strength 380 10.5. Dynamic response of micromachined structures 381 10.6. Conclusion 383 10.7. Bibliography 384 List of Authors 387 Index 391

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