Classical mechanics Books

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Book SynopsisThis second volume on technology is mainly devoted to three prize-winning memoirs, answering questions related to ship-building which were proposed by the French Académie Royale des Sciences in the years 1737, 1755, and 1757. The volume hosts two further items: a popularizing text on astronomy from 1723, and the theory of the spiral pump, a technical item from 1772. In the introductory part of the volume every memoir is analysed and extensively summarized, so the reader should obtain a clear view of the content in modern terms.Table of ContentsGeneral Introduction.- Introductions to the contained original works.- Discours lû dans l'Assemblée.- Réfléxions sur la meilleure figure a donner aux Ancres....- Recherches sur la maniere la plus avantageuse....- Principes Hydrostatiques et Méchaniques....- Expositio theoretica singularis machinae hydraulicae tiguri Helvetiorum exstructae

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Book SynopsisVorwort.- Inhalt.- I Statik der Starrkörper.- 1 Mathematische Vorbereitungen. 2 Grundlagen. 3 Statik starrer Körper und Körpersysteme. 4 Kontinuierliche Kräfteverteilungen. 5 Haftung und Reibung. 6 Schnittgrößen.- II Elastostatik.- 7 Einführung in die indizierte Tensornotation. 8 Spannungen. 9 Verzerrungen. 10 Elastizität, Festigkeitshypothesen. 11 Elastische Verformung schlanker Körper.- III Dynamik.- 12 Noch einige mathematische Vorüberlegungen. 13 Kinematik. 14 Kinetik.- Anhang A Über den Umgang mit "infinitesimalen" Größen.- Anhang B Biographische Daten.- Anhang C Zum Studienbeginn.- Literaturverzeichnis.- Index

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Book SynopsisStatik.- 1 Erste Schritte. 2 Ebenes Kräftegleichgewicht am Punkt. 3 Statisches Gleichgewicht am ebenen starren Körper. 4 Räumliches Gleichgewicht. 5 Ebene Gelenksysteme. 6 Schnittgrößen. 7 Ebene Fachwerke. 8 Schwerpunkt. 9 Reibung. 10 Seilstatik. 11 Der Arbeitssatz. - Festigkeitslehre.- 12 Spannungen. 13 Verzerrungen. 14 Das Materialgesetz. 15 Zug- und Druckbeanspruchung. 16 Biegung. 17 Schub durch Querkraft. 18 Torsion. 19 Dünnwandige Behälter unter Innendruck. 20 Überlagerte Beanspruchung. 21 Energetische Methoden. 22 Euler'sches Knicken.- Anhang A: Lösungen der Aufgaben.- Anhang B: Literatur.- Anhang C: Kleine Formelsammlung Statik und Festigkeitslehre.- Stichwortverzeichnis.

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Book SynopsisDas Buch vermittelt die Grundlagen und wichtigsten Konzepte der Theoretischen Mechanik und Speziellen Relativitätstheorie, soweit sie in Lehramts- und Bachelorstudiengängen benötigt werden. Dabei handelt es sich nicht um eine im Sinne des Master- oder des früheren Diplomstudiums "möglichst umfassend" gehaltene Darstellung, sondern um eine - im Vergleich zu anderen Lehrbuchwerken zur Theoretischen Physik schlank gehaltene - Darlegung der theoretischen Grundpfeiler der modernen Physik.Table of ContentsKlassische Mechanik - Spezielle Relativitätstheorie - Lösungen und Lösungstipps zu den Aufgaben - Mathematischer Anhang - Einheiten und Konstanten

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Book SynopsisThese notes contain my lectures on light scattering by matter presented at the Scuola Normale Superiore, Pisa during May and June 1995. I have deleted some of the topics discussed then and added a few related to my recent work. The notes are not to be regarded as exhaustive but rather as a selection of topics. In particular I have discussed, as examples, the theoretical basis for the interpretation of experiment on light scattering by photons in alpha-quartz and by electronic excitations in boron-doped diamond.

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Book SynopsisThis publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.Trade ReviewFrom the reviews:“The book is meant as a textbook for master and doctoral students and researchers. It is based on lecture notes of civil engineering courses of the author given at the University of Castillia-La Mancha (Spain). So the reader can expect a careful and detailed introduction to the subject without too much novelty. … The book is perhaps helpful for those readers who have already a strong background in continuum mechanics and want to find additional information on topics … .” (Albrecht Bertram, zbMATH, Vol. 1277, 2014)Table of ContentsPreface.- Abbreviations.- Operators And Symbols.- Si-Units.- Introduction.- 1 Mechanics.- 2 What Is Continuum Mechanics.- 3 Scales Of Material Studies.- 4 The Initial Boundary Value Problem (Ibvp).- 1 Tensors.- 1.1 Introduction.- 1.2 Algebraic Operations With Vectors.- 1.3 Coordinate Systems.- 1.4 Indicial Notation.- 1.5 Algebraic Operations With Tensors.- 1.6 The Tensor-Valued Tensor Function.- 1.7 The Voigt Notation.- 1.8 Tensor Fields.- 1.9 Theorems Involving Integrals.- Appendix A: A Graphical Representation Of A Second-Order Tensor.- A.1 Projecting A Second-Order Tensor Onto A Particular Direction.- A.2 Graphical Representation Of An Arbitrary Second-Order Tensor.- A.3 The Tensor Ellipsoid.- A.4 Graphical Representation Of The Spherical And Deviatoric Parts.- 2 Continuum Kinematics.- 2.1 Introduction.- 2.2 The Continuous Medium.- 2.3 Description Of Motion.- 2.4 The Material Time Derivative.- 2.5 The Deformation Gradient.- 2.6 Finite Strain Tensors.- 2.7 Particular Cases Of Motion.- 2.8 Polar Decomposition Of F.- 2.9 Area And Volume Elements Deformation.- 2.10 Material And Control Domains.- 2.11 Transport Equations.- 2.12 Circulation And Vorticity.- 2.13 Motion Decomposition: Volumetric And Isochoric Motions.- 2.14 The Small Deformation Regime.- 2.15 Other Ways To Define Strain.- 3 Stress.- 3.1 Introduction.- 3.2 Forces.- 3.3 Stress Tensors.- 4 Objectivity Of Tensors.- 4.1 Introduction.- 4.2 The Objectivity Of Tensors.- 4.3 Tensor Rates.- 5 The Fundamental Equations Of Continuum Mechanics.- 5.1 Introduction.- 5.2 Density.- 5.3 Flux.- 5.4 The Reynolds Transport Theorem.- 5.5 Conservation Law.- 5.6 The Principle Of Conservation Of Mass. The Mass Continuity Equation.- 5.7 The Principle Of Conservation Of Linear Momentum. The Equations Of Motion.- 5.8 The Principle Of Conservation Of Angular Momentum. Symmetry Of The Cauchy Stress Tensor.- 5.9 The Principle Of Conservation Of Energy. The Energy Equation.- 5.10 The Principle Of Irreversibility. Entropy Inequality.- 5.11 Fundamental Equations Of Continuum Mechanics.- 5.12 Flux Problems.- 5.13 Fluid Flow In Porous Media (Filtration).- 5.14 The Convection-Diffusion Equation.- 5.15 Initial Boundary Value Problem (Ibvp) And Computational Mechanics.- 6 Introduction To Constitutive Equations.- 6.1 Introduction.- 6.2 The Constitutive Principles.- 6.3 Characterization Of Constitutive Equations For Simple Thermoelastic Materials.- 6.4 Characterization Of The Constitutive Equations For A Thermoviscoelastic Material.- 6.5 Some Experimental Evidence.- 7 Linear Elasticity.- 7.1 Introduction.- 7.2 Initial Boundary Value Problem Of Linear Elasticity.- 7.3 Generalized Hooke’s Law.- 7.4 The Elasticity Tensor.- 7.5 Isotropic Materials.- 7.6 Strain Energy Density.- 7.7 The Constitutive Law For Orthotropic Material.- 7.8 Transversely Isotropic Materials.- 7.9 The Saint-Venant’s And Superposition Principles.- 7.10 Initial Stress/Strain.- 7.11 The Navier-Lamé Equations.- 7.12 Two-Dimensional Elasticity.- 7.13 The Unidimensional Approach.- 8 Hyperelasticity.- 8.1 Introduction.- 8.2 Constitutive Equations.- 8.3 Isotropic Hyperelastic Materials.- 8.4 Compressible Materials.- 8.5 Incompressible Materials.- 8.6 Examples Of Hyperelastic Models.- 8.7 Anisotropic Hyperelasticity.- 9 Plasticity.- 9.1 Introduction.- 9.2 The Yield Criterion.- 9.3 Plasticity Models In Small Deformation Regime (Uniaxial Cases).- 9.4 Plasticity In Small Deformation Regime (The Classical Plasticity Theory).- 9.5 Plastic Potential Theory.- 9.6 Plasticity In Large Deformation Regime.- 9.7 Large-Deformation Plasticity Based On The Multiplicative Decomposition Of The Deformation Gradient.- 10 Thermoelasticity.- 10.1 Thermodynamic Potentials.- 10.2 Thermomechanical Parameters.- 10.3 Linear Thermoelasticity.- 10.4 The Decoupled Thermo-Mechanical Problem In A Small Deformation Regime.- 10.5 The Classical Theory Of Thermoelasticity In Finite Strain (Large Deformation Regime).- 10.6 Thermoelasticity Based On The Multiplicative Decomposition Of The Deformation Gradient..- 10.7 Thermoplasticity In A Small Deformation Regime.- 11 Damage Mechanics.- 11.1 Introduction.- 11.2 The Isotropic Damage Model In A Small Deformation Regime.- 11.3 The Generalized Isotropic Damage Model.- 11.4 The Elastoplastic-Damage Model In A Small Deformation Regime.- 11.5 The Tensile-Compressive Plastic-Damage Model.- 11.6 Damage In A Large Deformation Regime.- 12 Introduction To Fluids.- 12.1 Introduction.- 12.2 Fluids At Rest And In Motion.- 12.3 Viscous And Non-Viscous Fluids.- 12.4 Laminar Turbulent Flow.- 12.5 Particular Cases.- 12.6 Newtonian Fluids.- 12.7 Stress, Dissipated And Recoverable Powers.- 12.8 The Fundamental Equations For Newtonian Fluids.- Bibliography.- Index.

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Book SynopsisThis publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.Trade ReviewFrom the reviews:“The book is meant as a textbook for master and doctoral students and researchers. It is based on lecture notes of civil engineering courses of the author given at the University of Castillia-La Mancha (Spain). So the reader can expect a careful and detailed introduction to the subject without too much novelty. … The book is perhaps helpful for those readers who have already a strong background in continuum mechanics and want to find additional information on topics … .” (Albrecht Bertram, zbMATH, Vol. 1277, 2014)Table of ContentsPreface.- Abbreviations.- Operators And Symbols.- Si-Units.- Introduction.- 1 Mechanics.- 2 What Is Continuum Mechanics.- 3 Scales Of Material Studies.- 4 The Initial Boundary Value Problem (Ibvp).- 1 Tensors.- 1.1 Introduction.- 1.2 Algebraic Operations With Vectors.- 1.3 Coordinate Systems.- 1.4 Indicial Notation.- 1.5 Algebraic Operations With Tensors.- 1.6 The Tensor-Valued Tensor Function.- 1.7 The Voigt Notation.- 1.8 Tensor Fields.- 1.9 Theorems Involving Integrals.- Appendix A: A Graphical Representation Of A Second-Order Tensor.- A.1 Projecting A Second-Order Tensor Onto A Particular Direction.- A.2 Graphical Representation Of An Arbitrary Second-Order Tensor.- A.3 The Tensor Ellipsoid.- A.4 Graphical Representation Of The Spherical And Deviatoric Parts.- 2 Continuum Kinematics.- 2.1 Introduction.- 2.2 The Continuous Medium.- 2.3 Description Of Motion.- 2.4 The Material Time Derivative.- 2.5 The Deformation Gradient.- 2.6 Finite Strain Tensors.- 2.7 Particular Cases Of Motion.- 2.8 Polar Decomposition Of F.- 2.9 Area And Volume Elements Deformation.- 2.10 Material And Control Domains.- 2.11 Transport Equations.- 2.12 Circulation And Vorticity.- 2.13 Motion Decomposition: Volumetric And Isochoric Motions.- 2.14 The Small Deformation Regime.- 2.15 Other Ways To Define Strain.- 3 Stress.- 3.1 Introduction.- 3.2 Forces.- 3.3 Stress Tensors.- 4 Objectivity Of Tensors.- 4.1 Introduction.- 4.2 The Objectivity Of Tensors.- 4.3 Tensor Rates.- 5 The Fundamental Equations Of Continuum Mechanics.- 5.1 Introduction.- 5.2 Density.- 5.3 Flux.- 5.4 The Reynolds Transport Theorem.- 5.5 Conservation Law.- 5.6 The Principle Of Conservation Of Mass. The Mass Continuity Equation.- 5.7 The Principle Of Conservation Of Linear Momentum. The Equations Of Motion.- 5.8 The Principle Of Conservation Of Angular Momentum. Symmetry Of The Cauchy Stress Tensor.- 5.9 The Principle Of Conservation Of Energy. The Energy Equation.- 5.10 The Principle Of Irreversibility. Entropy Inequality.- 5.11 Fundamental Equations Of Continuum Mechanics.- 5.12 Flux Problems.- 5.13 Fluid Flow In Porous Media (Filtration).- 5.14 The Convection-Diffusion Equation.- 5.15 Initial Boundary Value Problem (Ibvp) And Computational Mechanics.- 6 Introduction To Constitutive Equations.- 6.1 Introduction.- 6.2 The Constitutive Principles.- 6.3 Characterization Of Constitutive Equations For Simple Thermoelastic Materials.- 6.4 Characterization Of The Constitutive Equations For A Thermoviscoelastic Material.- 6.5 Some Experimental Evidence.- 7 Linear Elasticity.- 7.1 Introduction.- 7.2 Initial Boundary Value Problem Of Linear Elasticity.- 7.3 Generalized Hooke’s Law.- 7.4 The Elasticity Tensor.- 7.5 Isotropic Materials.- 7.6 Strain Energy Density.- 7.7 The Constitutive Law For Orthotropic Material.- 7.8 Transversely Isotropic Materials.- 7.9 The Saint-Venant’s And Superposition Principles.- 7.10 Initial Stress/Strain.- 7.11 The Navier-Lamé Equations.- 7.12 Two-Dimensional Elasticity.- 7.13 The Unidimensional Approach.- 8 Hyperelasticity.- 8.1 Introduction.- 8.2 Constitutive Equations.- 8.3 Isotropic Hyperelastic Materials.- 8.4 Compressible Materials.- 8.5 Incompressible Materials.- 8.6 Examples Of Hyperelastic Models.- 8.7 Anisotropic Hyperelasticity.- 9 Plasticity.- 9.1 Introduction.- 9.2 The Yield Criterion.- 9.3 Plasticity Models In Small Deformation Regime (Uniaxial Cases).- 9.4 Plasticity In Small Deformation Regime (The Classical Plasticity Theory).- 9.5 Plastic Potential Theory.- 9.6 Plasticity In Large Deformation Regime.- 9.7 Large-Deformation Plasticity Based On The Multiplicative Decomposition Of The Deformation Gradient.- 10 Thermoelasticity.- 10.1 Thermodynamic Potentials.- 10.2 Thermomechanical Parameters.- 10.3 Linear Thermoelasticity.- 10.4 The Decoupled Thermo-Mechanical Problem In A Small Deformation Regime.- 10.5 The Classical Theory Of Thermoelasticity In Finite Strain (Large Deformation Regime).- 10.6 Thermoelasticity Based On The Multiplicative Decomposition Of The Deformation Gradient..- 10.7 Thermoplasticity In A Small Deformation Regime.- 11 Damage Mechanics.- 11.1 Introduction.- 11.2 The Isotropic Damage Model In A Small Deformation Regime.- 11.3 The Generalized Isotropic Damage Model.- 11.4 The Elastoplastic-Damage Model In A Small Deformation Regime.- 11.5 The Tensile-Compressive Plastic-Damage Model.- 11.6 Damage In A Large Deformation Regime.- 12 Introduction To Fluids.- 12.1 Introduction.- 12.2 Fluids At Rest And In Motion.- 12.3 Viscous And Non-Viscous Fluids.- 12.4 Laminar Turbulent Flow.- 12.5 Particular Cases.- 12.6 Newtonian Fluids.- 12.7 Stress, Dissipated And Recoverable Powers.- 12.8 The Fundamental Equations For Newtonian Fluids.- Bibliography.- Index.

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Book SynopsisThe first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.Trade Review“QM has also been the source of many interesting mathematical problems and developments to which only very few books devote careful attention and discussion. One of the praiseworthy merits of Dell'Antonio's book is to present a comprehensive and updates account of such important mathematical results. … For these reasons the book qualifies as a must for the education of mathematical physics graduate students and clearly provides very useful information also for theoretical physicists as well for mathematicians.” (Franco Strocchi, zbMATH 1357.81001, 2017)“This is a huge book on the mathematical foundations of quantum theory, including both non-relativistic quantum mechanics (QM) and quantum field theories (QFT). … the specialized reader will find in the book a very nice reference for checking concepts and ways of proceedings in these domains. It is a remarkable book.” (Décio Krause, Mathematical Reviews, May, 2016)Table of ContentsElements of the history of Quantum Mechanics I.- Elements of the history of Quantum Mechanics II.- Axioms, states, observables, measurement, difficulties.- Entanglement, decoherence, Bell’s inequalities, alternative theories.- Automorphisms; Quantum dynamics; Theorems of Wigner, Kadison, Segal; Continuity andgenerators.- Operators on Hilbert spaces I; Basic elements.- Quadratic forms.- Properties of free motion, Anholonomy,Geometric phase.- Elements of C ∗-algebras, GNS representation,automorphisms and dynamical systems.- Derivations and generators. K.M.S. condition. Elements of modular structure. Standard form.- Semigroups and dissipations. Markov approximation.- Quantum dynamical semigroups I.- Positivity preserving contraction semigroups on C ∗-algebras.- Conditional expectations.- Complete Dissipations.- Weyl system, Weyl algebra, lifting symplectic maps.- Magnetic Weyl algebra.- A Theorem of Segal.- Representations of Bargmann, Segal, Fock.- Second quantization.- Other quantizations (deformation, geometric).

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Book SynopsisThis textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes in details the research findings in using fractional calculus methods for modeling and numerical simulation of complex mechanical behavior. It covers the mathematical basis of fractional calculus, the relationship between fractal and fractional calculus, unconventional statistics and anomalous diffusion, typical applications of fractional calculus, and the numerical solution of the fractional differential equation. It also includes latest findings, such as variable order derivative, distributed order derivative and its applications. Different from other textbooks in this subject, the book avoids lengthy mathematical demonstrations, and presents the theories in close connection to the applications in an easily readable manner. This textbook is intended for students, researchers and professionals in applied physics, engineering mechanics, and applied mathematics. It is also of high reference value for those in environmental mechanics, geotechnical mechanics, biomechanics, and rheology.Table of ContentsPreface Chapter 1 Introduction 1.1 History of fractional calculus 1.2 Geometric and physical interpretation of fractional derivative equation 1.3 Application in science and engineering Chapter 2 Mathematical foundation of fractional calculus 2.1 Definition of fractional calculus 2.2 Properties of fractional calculus 2.3 Fourier and Laplace transform of the fractional calculus 2.4 Analytical solution of fractional-order equations 2.5 Questions and discussions Chapter 3 Fractal and fractional calculus 3.1 Fractal introduction and application 3.2 The relationship between fractional calculus and fractal Chapter 4 Fractional diffusion model 4.1 The fractional derivative anomalous diffusion equation 4.2 Statistical model of the acceleration distribution of turbulence particle 4.3 Lévy stable distributions 4.4 Stretched Gaussian distribution 4.5 Tsallis distribution 4.6 Ito formula 4.7 Random walk model Chapter 5 Typical applications of fractional differential equations 5.1 Power-law phenomena and non-gradient constitutive relation 5.2 Fractional Langevin equation 5.3 The complex damped vibration 5.4 Viscoelastic and rheological models 5.5 The power law frequency dependent acoustic dissipation 5.6 The fractional variational principle of mechanics 5.7 Fractional Schrödinger equation 5.8 Other application fields 5.9 Some applications of fractional calculus in biomechanics 5.10 Some applications of fractional calculus in the modeling of drug release process Chapter 6 Numerical methods for fractional differential equations 6.1 Time fractional differential equations 6.2 Space fractional differential equations 6.3 Open issues of numerical methods for FDEs Chapter 7 Current development and perspectives of fractional calculus 7.1 Summary and Discussion 7.2 Perspectives Appendix I Special Functions Appendix II Related electronic resources of fractional dynamics

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Book SynopsisThis textbook for courses in gas dynamics will be of interest to students and teachers in aerospace and mechanical engineering disciplines. It provides an in-depth explanation of compressible flows and ties together various concepts to build an understanding of the fundamentals of gas dynamics. The book is written in an easy to understand manner, with pedagogical aids such as chapter overviews, summaries, and descriptive and objective questions to help students evaluate their progress. The book contains example problems as well as end-of-chapter exercises. Detailed bibliographies are included at the end of each chapter to provide students with further resources. The book can be used as a core text in engineering coursework and also in professional development courses. Table of ContentsKinetic Theory of Gases and Fluid Properties.- Conservation Laws for Inviscid Flows.- Thermodynamics of Compressible Flows.- Propagation of Acoustic Wave.- Steady One-Dimensional Compressible Flows.- Normal Shock Waves.- Flow in Constant-Area Ducts with Friction.- Flow in Constant-Area Ducts with Heat Transfer.- Quasi-One-Dimensional Compressible Flows.- Oblique Shock and Expansion Waves.- Velocity Potential Equation for Compressible Flows.- Small Perturbation Theory.- Similarity Rules of Compressible Flows.- Method of Characteristics.

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Book SynopsisThis book highlights the pulchritudinous features of FRP composites emphasizing failure criteria referring to microstructural as well as micromechanical aspects. The potential and promises of this class of material as being explored for supercritical applications necessitate the analysis and assessment of FRPs with a spectrum of low to high strain rates. Additionally, constitutive modeling and shock properties of polymeric composites along with the data processing techniques and relevant theories for different characterization methods are conversed. The findings of previous studies available on mechanical characteristics of polymer composites under quasi-static and high-strain-rate circumstances are also discussed. The dearth of open literature and limited information culminate the need for this book which may eventually bridge the existing gap. Table of ContentsIntroduction to Composite Materials.- Polymer Matrix Materials for Ballistic Armors.- Fiber reinforcements.- Characterization techniques in different strain-rate spectrum.- Microstructural Failure Mechanisms Analysis.- Micromechanics of FRP Composites and the Analytical Approach for Ballistic Response.- Recent development of constitutive models for strain-rate sensitive FRP composite materials.- High-Velocity Impact Modeling in Materials Science: A Multiscale Perspective.- Interface Engineering.

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Book SynopsisTitle: The Vacuum Interrupter: Theory, Design, and ApplicationShelving guide: Electrical EngineeringDr. Paul Slade draws from his nearly six decades of active experience to develop this second edition of The Vacuum Interrupter: Theory, Design, and Application. This book begins by discussing the design requirements for high voltage vacuum interrupters and then the contact requirements to interrupt the vacuum arc. It then continues by describing the various applications in which the vacuum interrupter is generally utilized.Part 1 of this book begins with a detailed review of the vacuum breakdown process. It continues by covering the steps necessary for the design and the manufacture of a successful vacuum interrupter. The vacuum arc is then discussed, including how it is affected as a function of current. An overview of the development and use of practical contact materials, along with their advantagesTable of Contents1. High Voltage Vacuum Interrupter Design. 2. The Vacuum Arc. 3. The Materials, Design and Manufacture of the Vacuum Interrupter. 4. General Aspects of Vacuum Interrupter Application. 5. Application of The Vacuum Interrupter for Switching Load Currents. 6. Circuit Protection, Vacuum Circuit Breakers and Reclosers.

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Biomechanics applies the laws and techniques of mechanics in the study of biological systems and related phenomena. Biomechanics uses mathematical and computational tools such as model construction of musclo-skeletal system, body fluid circulation, to aid medical diagnosis, therapeutics and surgery planning, designing of prostheses and implants or in tissue engineering. Present book targets specific topics pertaining to the biomechanics of soft tissues. Subjects addressed includes solids and multi-species mixtures as open systems: a continuum mechanics perspective; electro-chemo-mechanical couplings: tissues with a fixed electric charge and growth of biological tissues.

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Book SynopsisThis book covers the fundamentals and basic concepts of analytical and experimental approaches to modal analysis. In practice, the analytical approach based on lumped parameter and finite element models is widely used for modal analysis and simulation, and experimental modal analysis is widely used for modal identification and model validation. This book is inspired by this consideration and is written to give a complete picture of modal analysis.Features: Presents a systematic development of the relevant concepts and methods of the analytical and experimental modal analyses. Covers phase resonance testing and operational modal analysis. Provides the relevant signal processing concepts. Includes applications like model validation and updating, force identification and structural modification. Contains simulations, examples, and MATLAB programs to enhance understanding. Table of Contents1. Introduction. 2. Lumped Parameter Modeling of Vibrating Systems. 3. Finite Element Modeling of Vibrating Systems. 4. Analytical Modal Analysis of SDOF Systems. 5. Analytical Modal Analysis of Undamped MDOF Systems. 6. Analytical Modal Analysis of Damped MDOF Systems. 7. Characteristics of FRFs. 8. Signal Processing for Experimental Modal Analysis. 9. FRF Measurement Using an Impact Hammer. 10. FRF Measurement Using Shaker Excitation. 11. Modal Parameter Estimation Methods. 12. Phase Resonance Testing. 13. Operational Modal Analysis. 14. Applications of Experimental Modal Analysis. 15. Finite Element Model Validation and Updating.

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Book SynopsisIn the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems.However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends andTrade Review"The book includes detailed descriptions of trending materials modeling methods such as concurrent multiscale methods and molecular dynamics methods. The authors explain well how these methods can be used to model materials at very fine scales and improve predictions compared to conventional approaches. The description contains enough numerical implementation details to allow students, engineers and researchers interested in high fidelity materials modeling to try the methods presented in the book." -- Wing Kam Liu, Northwestern University, USA "This is a one-of-a-kind book and good for numerical methods to solve problems in mechanics of materials, from the nanoscale to the macroscale." -- Shaofan Li, University of California, Berkeley, USA "The book would be of greatest use for practicing engineers or graduate students in mechanical engineering, applied mechanics, applied physics, materials science, and related fields." --J. Lambropoulos, University of Rochester in Choice Connect Table of ContentsThe Role of Numerical Methods in Engineering. Numerical Analysis and Weighted Residuals. Finite Difference Methods. The Finite Element Method. Specialized Methods. The Boundary Element Method. Meshless Methods of Analysis. Multiphysics in Molecular Dynamics Simulation. Multiscale Modeling from Atoms to Genuine Continuum.

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Book SynopsisThis 2006 book is intended for undergraduate courses in dynamics. The work is a unique blend of conceptual, theoretical, and practical aspects of dynamics generally not found in dynamics books at the undergraduate level. In particular, in this book the concepts are developed in a highly rigorous manner and are applied to examples using a step-by-step approach that is completely consistent with the theory. In addition, for clarity, the notation used to develop the theory is identical to that used to solve example problems. The result of this approach is that a student is able to see clearly the connection between the theory and the application of theory to example problems. While the material is not new, instructors and their students will appreciate the highly pedagogical approach that aids in the mastery and retention of concepts. The approach used in this book teaches a student to develop a systematic approach to problem-solving.Trade Review“The book leads students from first principles through problem solving. It includes lots of detailed solutions to example problems, a wide range of possible homework problems, and beautiful figures and diagrams. The prose flows smoothly and is written with clarity.” Choice"All examples are worked in detail, are tied in well with the text, and are accompanied by excellent illustrations. These examples are a great aid to learning the material and will leave the student in good shape for solving the complex problems that will come up in the 'real world'." Mark D. Ardema, Santa Clara University, SIAM ReviewTable of Contents1. Introductory concepts; 2. Kinematics; 3. Kinetics of particles; 4. Kinetics of a system of particles; 5. Kinetics of rigid bodies; A. Principal-axis moments of inertia of homogeneous bodies; B. Identities, derivatives, integrals and gradient; C. Answers to selected problems; Bibliography.

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Book SynopsisTo commemorate the 300th anniversary of the publication of Isaac Newton's Philosophiae Naturalis Principia Mathematica, Stephen Hawking and Werner Israel have assembled a series of unique review papers by many of the world's foremost researchers in cosmology, relativity and particle physics. The resulting volume reflects the significant and exciting advances that have been made in these fields since the editor's acclaimed volume published in 1979: General Relativity: An Einstein Centenary Survey. Newton's immense contribution to the physical sciences is assessed, and its relevance to today's physics made clear. The international contributors then chart the major developments in the study of gravitation, from Newtonian gravity to black hole physics. In the fields of galaxy formation, inflationary and quantum cosmology, and superstring unification, the book provides important overviews written by workers involved in many of the advances described. By shaping such a wide-ranging and scholTrade Review"...the papers in this collection show us that it [the study of gravitation] is exciting, provocative and stimulating..." Physics Today"..[I] have not found a comparable compilation of valuable information on the current status of general relativity." American ScientistTable of ContentsPreface; 1. Newton's Principia S. W. Hawking; 2. Newtonianism and today's physics S. Weinberg; 3. Newton, quantum theory and reality R. Penrose; 4. Experiments on gravitation A. H. Cook; 5. Experimental gravitation from Newton's Principia to Einstein's general relativity C. M. Will; 6. The problem of motion in Newtonian and Einsteinian gravity T. Damour; 7. Dark stars: the evolution of an idea W. Israel; 8. Astrophysical black holes R. D. Blandford; 9. Gravitational radiation K. S. Thorne; 10. The emergence of structure in the universe: galaxy formation and dark matter M. J. Rees; 11. Gravitational interactions of cosmic strings A. Vilenkin; 12. Inflationary cosmology S. K. Blau and A. H. Guth; 13. Inflation and quantum cosmology A. Linde; 14. Quantum cosmology S. W. Hawking; 15. Superstring unification J. H. Schwartz; 16. Covariant description of canonical formalism in geometrical theories C. Crnkowic and E. Witten; Index.

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Book SynopsisA consolidated treatment of continuum mechanics and thermodynamics that stresses the universal status of the basic balances and the entropy imbalance. The Mechanics and Thermodynamics of Continua is written for engineers, physicists and mathematicians.Trade Review"The monograph presents a detailed and complete treatment of continuum mechanics and thermodynamics" - Ion Nistor, Mathematical ReviewsTable of ContentsPart I. Vector and Tensor Algebra; Part II. Vector and Tensor Analysis; Part III. Kinematics; Part IV. Basic Mechanical Principles; Part V. Basic Thermodynamical Principles; Part VI. Mechanical and Thermodynamical Laws at a Shock Wave; Part VII. Basic Requirements for Developing Physically Meaningful Constitutive Theories; Part VIII. Rigid Heat Conductors; Part IX. The Mechanical Theory of Compressible and Incompressible Fluids; Part X. Mechanical Theory of Elastic Solids; Part XI. Thermoelasticity; Part XII. Species Diffusion Coupled to Elasticity; Part XIII. Theory of Isotropic Plastic Solids Undergoing Small Deformations; Part XIV. Small Deformation, Isotropic Plasticity Based on the Principle of Virtual Power; Part XV. Small Deformation, Isotropic Plasticity Based on the Principle of Virtual Power; Part XVI. Large-Deformation Theory of Isotropic Plastic Solids; Part XVII. Theory of Single Crystals Undergoing Small Deformations; Part XVIII. Single Crystals Undergoing Large Deformations.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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a huge range and FREE tracked UK delivery on ALL orders.

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