Classical mechanics Books

Book SynopsisThis book covers specific aspects of submarine hydrodynamics in a very practical manner. The author reviews basic concepts of ship hydrodynamics and goes on to show how they are applied to submarines, including a look at the use of physical model experiments. The book is intended for professionals working in submarine hydrodynamics, as well as for advanced students in the field.This revised edition includes updated information on empirical methods for predicting the hydrodynamic manoeuvring coefficients, and for predicting the resistance of a submarine. It also includes new material on how to assess propulsors, and includes measures of wake distortion, which has a detrimental influence on propulsor performance. Additional information on safe manoeuvring envelopes is also provided. The wide range of references has been updated to include the latest material in the field.Table of Contents1 Introduction.- 2 Hydrostatics and Control.- 3 Manoeuvring and Control.- 4 Resistance and Flow.- 5 Propulsion.- 6 Appendage Design.- Hydro-Acoustic Performance.

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Book SynopsisThis resource covers all areas of interest for the practicing engineer as well as for the student at various levels and educational institutions. It features the work of authors from all over the world who have contributed their expertise and support the globally working engineer in finding a solution for today‘s mechanical engineering problems. Each subject is discussed in detail and supported by numerous figures and tables.Table of ContentsPart A Fundamentals: .- Introduction to Mathematics.- Mechanics.- Thermodynamics.- Part B Materials: .- Atomic Structure and Microstructure Characterization.- Mechanical and Physical Properties.- Corrosion and Corrosion Resistance.- Nondestructive Inspection.- Engineering Materials and their Properties.- Tribology.- Part C Manufacturing: .- Casting.- Metal Forming.- Machining Processes.- Assembly, Disassembly, Joining Techniques.- Precision Machinery Using MEMS Technology.- Measuring and Quality Control.- Part D Machine and Systems Design: .- Machine Elements.- Engineering Design.- Piston Machines.- Pressure Vessels and Heat Exchangers.- Turbomachinery.- Conveying and Construction Machinery.- Part E Transportation – Mobility: .-Trends in mobility and transportation.- Automotive Engineering.- Railway Systems - Railway Engineering.- Aerospace Engineering.- Ships and Maritime Transportation.- Part F Related Engineering Fields: .- Electrical Engineering.- Power Generation.- Annex: General Tables.

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Book SynopsisAvailable for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University.The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied​ for the integration of equations of motion, and the elements of special relativity theory are presented.This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.Table of ContentsIntroduction.- SECTION I. KINEMATICS.- Point kinematics.- Kinematics of the rigid solid.- Composite motion.- SECTION II. DYNAMICS.GENERAL ASPECTS OF THEORETICAL MECHANICS. FUNDAMENTALS OF ANALYTICAL MECHANICS.- Particle dynamics.- System dynamics.- Constrained motion.- Small oscillations of systems.- Dynamics of the rigid solid.- Variational.- principles in mechanics.- Statics.- Integration of equations in mechanics.- Elements of the special relativity theory.

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Book SynopsisThis revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.Table of ContentsMechanics of Systems of Particles .- Mathematical Preliminaries.- Mechanics of Continuous Media.- Motions and Comparison Motions of a Mixture.- Singular Surfaces.- Index.

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Book SynopsisThis book systematically summarizes the accuracy, precision, and repeatability levels of field-based tests applied in soccer. It considers such details as the effectiveness of tests for different age categories and sexes. In this book, the readers will be able to check all the field-based tests conceived for fitness assessment in soccer through a large systematic review made to the literature. In addition a brief characterization of each test and presentation of the concurrent validity and repeatability levels for each test will be provided. Finally, the book contains a general discussion of the implications of the tests for different methodological approaches to training. It will be use to sports scientists and practitioners. Table of ContentsChapter 1. Introduction: Rationale for understanding accuracy, precision, and repeatability levels of field-based tests.- Chapter 2. Systematically revising the literature of field-based soccer tests.- Chapter 3. Summarizing and characterizing the field-based soccer tests.- Chapter 4. Evidence of accuracy, precision, and repeatability levels of field-based tests.- Chapter 5. Discussion of field-based soccer tests for aerobic fitness.- Chapter 6. Discussion of field-based soccer tests for sprinting, change-of-direction and agility.- Chapter 7. Discussion of field-based soccer tests for strength, power, and neuromuscular fitness.- Chapter 8. Conclusions & practical implications.

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Book SynopsisThis monograph provides a compact introduction into the classical, i.e. rate-independent, plasticity theory. Starting from the engineering stress-strain diagram, the concept of elastic and elasto-plastic material behavior is introduced, as well as the concept of uniaxial and multiaxial stress states. Continuum mechanical modeling in the elasto-plastic range requires, in regards to the constitutive equation, in addition to the elastic law (e.g. Hooke’s law), a yield condition, a flow rule and a hardening rule. These basic equations are thoroughly introduced and explained for one-dimensional stress states. Considering three-dimensional plasticity, different sets of stress invariants to characterize the stress matrix and the decomposition of the stress matrix in its hydrostatic and deviatoric part are introduced. Furthermore, the concept of the yield condition, flow rule and hardening rule is generalized for multiaxial stress states. Some typical yield conditions are introduced and their graphical representation in different stress spaces is discussed in detail. The book concludes with an introduction in the elasto-plastic finite element simulation of mechanical structures. In the context of numerical approximation methods, the so-called predictor-corrector methods are used to integrate the constitutive equations. This is again introduced in detail based on one-dimensional stress states and afterwards generalized to the three-dimensional case. Test your knowledge with questions and answers about the book in the Springer Nature Flashcards app.Table of ContentsIntroduction.- Theory of One-Dimensional Plasticity.- Theory of Three-Dimensional Plasticity.- Elasto-Plastic Finite Element Simulations.

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Book SynopsisThis textbook on Continuum Mechanics presents 9 chapters. Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. All the content here is valid for both solid and fluid materials. At the end of Part I, the reader should be able to set up in local spatial/material form, the fundamental governing equations and inequalities for a Continuum Mechanics problem. Part II of the book, Chapters 6 to 10, is devoted to presenting some nonlinear constitutive models for Nonlinear Solid Mechanics, including Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. The constitutive equations are derived within a thermodynamically consistent framework. Finite deformation elastoplasticity models are based on a multiplicative decomposition of the deformation gradient and the notion of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration are considered. The last chapter is devoted to Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. The book may be used as a textbook for an advanced Master’s course on Nonlinear Continuum Mechanics for graduate students in Civil, Mechanical or Aerospace Engineering, Applied Mathematics, or Applied Physics, with an interest in Continuum Mechanics and Computational Mechanics.Table of ContentsChapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Chapter 3 is devoted to Nonlinear Kinematics, Chapter 4 deals with Stresses, and Chapter 5 addresses the Fundamental Conservation/Balance Laws. Chapter 6 is devoted to Finite Deformation Hyperelasticity, Chapter 7 to Finite Deformation Plasticity, Chapter 8 to Finite Deformation Coupled Thermoplasticity, and Chapter 9 to Finite Deformation Contact Mechanics. The last chapter, Chapter 10, deals with Variational Methods in Solid Mechanics, including coupled thermoplasticity and contact problems.

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Book SynopsisNow in an updated new edition, this textbook explains mechanical vibrations concepts in detail, concentrating on their practical use. This second edition includes the new chapter Multi-Degree-of-Freedom (MDOF) Time Response, as well as new sections covering superposition, music and vibrations, generalized coordinates and degrees-of-freedom, and first-order systems. Related theorems and formal proofs are provided, as are real-life applications. Students, researchers, and practicing engineers alike will appreciate the user-friendly presentation of a wealth of topics, including practical optimization for designing vibration isolators and transient and harmonic excitations. Advanced Vibrations: Theory and Application is an ideal text for students of engineering, designers, and practicing engineers.Table of ContentsPart 1. Vibration Fundamentals.- 1. Vibration Kinematics.- 2. Vibration Dynamics.- Part 2. Time Response.- 3. One Degree of Freedom.- 4. Multi Degrees of Freedom.- 5. First-Order Systems.- Part 3. Frequency Response.- 6. One Degree of Freedom Systems.- 7. Multi Degrees of Freedom Systems.- 8. Two Degrees of Freedom Systems.

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Book SynopsisIn this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.Table of Contents1 Effects of 3-D Printing Infill Density Parameter on the Mechanical Properties of PLA Polymer Reza Afshar, Simon Jeanne, and Bilen Emek Abali1.1 Introduction 1.2 Additive Manufacturing 1.3 Materials and Methods 1.3.1 Fused Deposition Modeling (FDM) 1.3.2 Unidirectional Tensile Tests 1.3.3 Digital Image Correlation Method 1.4 Results and Discussions 1.5 Conclusions References 2 Advance Approximate Analytical Solutions of the Contact Problem for an Inhomogeneous Layer Sergei M. Aizikovich, Polina A. Lapina, and Sergei S. Volkov2.1 Introduction 2.2 Statement of the Problem of a Shear of the Surface of an Inhomogeneous Layer 2.3 Integral Equations of Contact Problems 2.4 Numerical Analysis 2.5 Closure References 3 The Direct Approach for Plates Considering Hygrothermal Loading and Residual Kinetics Marcus Aßmus, Zia Javanbakht, and Holm Altenbach3.1 Introduction 3.2 Frame of Reference 3.3 Thermal Effects and Hygroscopic Impact 3.4 Residual Kinetics 3.5 Conclusion References 4 A Technique for Determining True Deformation Diagrams Under Dynamic Tension Using DIC Artem V. Basalin, Anatoly M. Bragov, Aleksandr Yu. Konstantinov,and Andrey R. Filippov4.1 Introduction 4.2 Pneumatic Dynamic Installation for Testing Materials at a Deformation Rate of the Order of 10-100 s−1 4.2.1 Installation Scheme 4.2.2 Methods of Obtaining and Processing Information in the Experiment 4.3 Test Results of Sheet (3 mm) Steel 09G2S in a Wide Range of Strain Rates 4.4 Conclusion References 5 Strain Gradient Elasticity and Dual Internal Variables Arkadi Berezovski5.1 Introduction 5.2 Dual Internal Variables 5.2.1 Evolution Equations 5.2.2 Quadratic Free Energy 5.3 Concluding Remarks References 6 On the Coercivity of Strain Energy Functions in Generalized Models of 6-Parameter Shells Mircea Bîrsan and Patrizio Neff6.1 Introduction 6.2 General 6-Parameter Elastic Shells. Governing Equations 6.3 The Order ℎ3 Model of 6-Parameter Shells made of Cosserat Material 6.3.1 Coercivity Results for the Model of Order ����(ℎ3) 6.3.2 Existence of Minimizers 6.4 The Higher Order Model of Cosserat 6-Parameter Shells References 7 Solving the Equations of Nonlinear Model of Crystalline Media with Complex Lattice and Some Structures of Plane Deformation Anatolii N. Bulygin and Yuri V. Pavlov7.1 Introduction 7.2 Nonlinear Model of Deformation of Crystal Media 7.3 General Solution of Dynamic Equations of Plane Deformation of the Nonlinear Model 7.4 Solving the Micro-Field Equations 7.5 Conclusion References 8 Modal Analysis of a Second-Gradient Annular Plate made of an Orthogonal Network of Logarithmic Spiral Fibers Alessandro Ciallella, Francesco D’Annibale, Francesco dell’Isola,Dionisio Del Vescovo, and Ivan Giorgio8.1 Introduction 8.2 The Model for a Fiber Net Arranged in Logarithmic Spirals 8.3 Modal Analysis 8.4 Conclusions and Future Perspectives References 9 Non-Linear Simplest Reduced Kelvin’s Medium in the Vicinity of the Spherical Stress State: Waves and Instabilities Mikhail A. Drepin and Elena F. Grekova9.1 Introduction and Notation9.2 Basic Equations for the Isotropic Elastic Reduced Kelvin’s Medium in the Vicinity of a Preliminary Stress State 9.2.1 Dynamic Laws of a Nonlinear Reduced Kelvin Medium 9.2.2 Constitutive Relations for a Nonlinear Reduced Kelvin Medium9.2.3 The Simplest Nonlinear Reduced Kelvin Medium. Strain Energy9.2.4 Medium in the Vicinity of a Homogeneous Nonlinear Spherical Deformation State 9.3 Dispersion Relations of the Simplest Elastic Reduced Kelvin Medium in the Vicinity of Preliminary Spherical Strain State for Special Directions of Perturbation Propagation. Waves and Stability9.3.1 Harmonic Waves 9.3.2 Propagation of Harmonic Waves Along the Body Point Axis (ˆ������������ = ±������������0) 9.3.3 Propagation of Harmonic Waves in the Direction Orthogonal to the Body Point Axis (ˆ������������⊥������������0) 9.4 Conclusion References 10 On the Spectrum of Relaxation Times of Coupled Diffusion and Rheological Processes in Media with Microstructure Dmitrii S. Dudin and Ilya E. Keller10.1 Introduction 10.2 Deformations 10.3 Balance Equations 10.4 The Helmholtz Free Energy 10.5 Thermodynamic Inequality 10.6 Constitutive Equations 10.7 Model Problem and its Equations 10.8 Diffusion Coefficients in Coupled System 10.9 Conclusion References 11 Representative Volume Element Size and Length Scale Identification in Generalised Magneto-Elasticity Sinan Eraslan, Inna M. Gitman, Mingxiu Xu, Harm Askes, and René de Borst11.1 Introduction 11.2 Formulation 11.2.1 Homogenisation and Macroscopic Characteristic Length Scale Parameters11.2.2 Determination of RVE Sizes and Identification of Characteristic Length Scale Parameters 11.3 Numerical Results and Discussion11.4 Conclusions References 12 Rayleigh Waves in the Cosserat Half-Space (Reduced Model) and Half-Space of Damaged Material Vladimir Erofeev, Artem Antonov, Anna Leonteva, and Alexey Malkhanov12.1 Introduction 12.2 Rayleigh Waves in the Cosserat Half-space (Reduced Model) 12.3 Rayleigh Waves in the Half-space of Damaged Material 12.4 Conclusion References 13 Validation of a Hemi-Variational Block-Based Approach to the Modelling of Common In-plane Failures in Masonry Structures José Manuel Torres Espino, Jaime Heman Espinoza Sandoval, Chuong Anthony Tran, Roberto Fedele, Emilio Turco, Francesco dell’Isola, LucaPlacidi, Anil Misra, Francisco James León Trujillo, and Emilio Barchiesi13.1 Introduction 13.2 Mathematical Formulation 13.2.1 Vertex Springs and Stiffnesses 13.2.2 Deformation Energy and Impenetrability Potential 13.2.3 Damage Laws 13.2.4 Principle of Minimum Potential Energy 13.2.5 Numerical Model 13.2.6 Stiffness Matrix13.2.7 Algorithm 13.3 Results 13.3.1 Comparative Result 13.3.2 Influence of Mortar Thickness on Masonry Performance 13.3.3 Bending and Shear Sliding 13.3.4 Rocking 13.4 Conclusions and Future Challenges References 14 Size Effects in Cosserat Crystal Plasticity Samuel Forest and Flavien Ghiglione14.1 Introduction 14.2 Problem Setting 14.2.1 Field Equations 14.2.2 Constitutive Equations14.2.3 Studied Boundary Value Problem 14.3 Cosserat Elastoplasticity Based on a Quadratic Potential14.3.1 Simple Glide in Isotropic Elasticity 14.3.2 Crystal Plasticity Based on the Full Stress Tensor 14.3.3 Schmid Law Limited to the Symmetric Part of the Stress Tensor 14.3.4 Comparison with the Curl ���� ���� Model 14.4 Rank One Energy Potential 14.4.1 Elasticity Solution14.4.2 Crystal Plasticity 14.4.3 Comparison with the Curl ���� ���� Model14.5 Combined Potential 14.6 Application to Grain Boundary Behaviour 14.6.1 Cosserat-Phase Field Model of Grain Boundaries 14.6.2 Analytical Solution of a Single Flat Grain Boundary 14.6.3 Grain Boundary Energy References 15. On the Influence of Poisson’s Ratio on Phase Transformations Limiting Surfaces Alexander B. Freidin and Leah L. Sharipova15.1 Introduction15.2 Phase Equilibrium and Phase Transition Zones for Phases with Positive and Negative Poisson’s Ratios15.3 Optimal Laminates and Phase Transformations Limiting Surfaces15.4 Results 15.5 Conclusions References 16. Application of Nonlocal Fick’s Law Within Micropolar Approach Ksenia Frolova, Nikolay Bessonov, and Elena Vilchevskaya16.1 Introduction 16.2 Diffusion in Media Modeled by Micropolar Continuum 16.3 Axially Symmetric Problem 16.4 Results and Discussion 16.5 Conclusions Appendix. Some Remarks on Numerical Approximation References 17 Geometrically Nonlinear Cosserat Elasticity with Chiral Effects Based upon Granular Micromechanics Ivan Giorgio, Anil Misra, and Luca Placidi17.1 Introduction 17.2 Discrete and Continuous Models for Granular Systems 17.2.1 Identification via Piola’s Ansatz 17.2.2 Relative Intergranular Displacement and Related Continuum Deformation Measures 17.2.3 On the Objective (Macro and Micro-macro)Displacement Vectors 17.2.4 On the Objective Tensor 17.2.5 The Objective Scalar Deformation Measures17.3 Elastic Energy Function 17.4 Identification of the Undamaged Isotropic Case 17.4.1 Characterization of the Undamaged Isotropic Case 17.4.2 Macroscopic Isotropic Stiffness Matrices 17.4.3 Identification of the Macroscopic Isotropic Stiffness Matrices 17.5 Conclusion References 18 Study of the Dynamic Properties of Reinforced Concrete Under High-Speed Compression Mikhail E. Gonov, Vladimir V. Balandin, Anatoly M. Bragov,and Aleksandr Yu. Konstantinov18.1 Introduction 18.2 Test Method 18.3 Characteristics of the Tested Materials 18.4 Results of Dynamic Tests for Uniaxial Compression 18.5 Conclusion References19 Multistability of Convective Flows in a Porous Enclosure Vasily Govorukhin, Mezhlum Sumbatyan, and Vyacheslav Tsybulin19.1 Introduction 19.2 Mathematical Formulation of the Problem19.3 Numerical Methods and Extreme Multistability 19.3.1 Spectral Global Galerkin Method 19.3.2 Cosymmetry Preserving Finite-Difference Approximations19.3.3 Continuation on the Hidden Parameter Method 19.4 Multistability References 20 Hydrogen Transport in Framework of Linear Non-Equilibrium Thermodynamics Approach Polina M. Grigoreva and Vladimir A. Polyanskiy20.1 Introduction 20.2 Problem Statement and Governing Equations 20.3 Plane Boundary Value Problem 20.4 ConclusionReferences 21 Classical and Non-Classical Models of Changes in the Young Modulus of Geomaterials Under Alternating Loads Mikhail A. Guzev, Evgenii P. Riabokon, Mikhail S. Turbakov,Vladimir V. Poplygin, Evgenii V. Kozhevnikov, and Evgenii A. Gladkikh21.1 Introduction 21.2 Experimental Studies 21.3 Classical Model of Changes in the Young Modulus Under an Alternating Load 21.4 Non-classical Model of Change in the Young Modulus Under the Alternating Load 21.4.1 Formulation of the Non-classical Model 21.4.2 Building the Solution 21.5 Conclusion References22 Two Approaches to Modeling Viscoelastic Cosserat Continua Elena A. Ivanova22.1 Introduction 22.2 Kinematics and Balance Equations 22.3 Differential Equations Relating the Strain Tensors to the Velocity Vector and the Angular Velocity Vector 22.4 The Reduced Energy Balance Equation and the Heat Conduction Equation: Zhilin’s Method 22.5 Integral Equations Relating the Strain Tensors to the Velocity Vector and the Angular Velocity Vector 22.6 Source Terms in the Strain Balance Equations22.7 The Reduced Energy Balance Equation and the Heat Conduction Equation: A new Method 22.8 A Comparison of two Approaches 22.9 Discussion References 23 Porous Media Models Based on Generalized State Equations with Simple Examples Anna Knyazeva and Nelli Nazarenko23.1 Introduction 23.2 Definitions and General Relationships 23.3 Thermodynamical Relations 23.4 Examples of Particular Problems 23.4.1 Compressible Nonviscous Gas 23.4.2 Compressible Fluid with Bulk Viscosity 23.4.3 Non-ideal Gas Under Non-isothermal Conditions 23.4.4 Binary Non-viscous Imperfect Mixture 23.4.5 Diffusion and Filtration in Media with Double Porosity 23.4.6 Viscous Two-component Fluid in Media with DoublePorosity23.4.7 Nonviscous Two-component Fluid in Porous media with Nano- and Micro-pores 23.5 Conclusion References 24 Ball Indentation of Perforated Circular Hyperelastic Membranes Alexey M. Kolesnikov24.1 Introduction 24.2 Mathematical Model 24.2.1 Axisymmetric Problem of Non-linear Elastic Membranes 24.2.2 Ball Indentation of Perforated Circular Hyperelastic Membranes 24.3 Numerical Results 24.4 Conclusions References25 Integrated Asymptotic Approach to the Structural Mechanics Models Alexander G. Kolpakov and Sergey I. Rakin25.1 Motivation of the Research 25.2 Modern State of Structural Mechanics 25.2.1 Deformation of the “Main” Part of Frame 25.2.2 Deformation of Connecting Units of Frame 25.2.3 “Infinite Rigidity” of Connecting Units 25.2.4 Structural Mechanics Achievements and Limitations 25.3 Integrated Approach to the Computation of Thin-walled Structures 25.3.1 Displacements in the “Main” Part of the Beams 25.3.2 “Rigid” Displacements of the Connecting Unit 25.3.3 Conjugation of the Displacements in the Main Part of a Beam with the “Rigid Body” Displacements of the Connecting Unit 25.3.4 Assembling the Single-beam Domain Functions into the Function in 2-D Frame 25.3.5 Supplement of the Functions (25.5) with the Local Perturbations 25.4 Local Stress-strain State in the Connecting Units 25.5 Representative Fragment of Joint 25.6 Integrated Procedure for Computation of Framework 25.7 Actual Problems 25.8 Conclusions References 26 The Homogenized Delamination Criterion for Fiber-reinforced Plate Alexander G. Kolpakov, Sergey I. Rakin, and Igor V. Andrianov26.1 Introduction 26.2 Boundary Layer 26.3 Numerical Computation Results 26.3.1 Extension Along ��������- or ��������-axis 26.3.2 Shift in ��������2����3-plane 26.4 The Asymptotic Homogenized Strength Criterion of the Interface Zone 26.5 Constructing the Delaminating Strength Criterion26.6 Conclusions References 27 Lightly Loaded Hydrodynamic Thrust Bearing Lubricated by a Non-Newtonian Fluid Ilya I. Kudish, Sergei S. Volkov, and Andrey S. Vasiliev27.1 Introduction 27.2 Formulation of the Lubrication Problem 27.3 Asymptotic Analysis of the Rheological and Motion Equations 27.4 Examples of Some Specific Lubrication Problem Solutions and Discussion 27.5 Closure References 28 The Idea of Using Adhesive Bonds in Shaping of Cold-formed Thin-walled Beam-columnsMarcin Kujawa, Antonio Cazzani, Lukasz Smakosz, ViolettaKonopińska-Zmysłowska, Karol Winkelmann, Faizullah Jan, andCzesław Szymczak28.1 Introduction 28.2 State of the Art28.2.1 Static, Dynamics, and Stability Analysis of Thin-walled Members 28.2.2 Influence of Imperfections 28.2.3 Failure Analysis with Attention to Creep in Adhesive Bonded Metal Members/Structures 28.3 The Rationale for Addressing the Research Problem 28.4 Conclusions References 29 Dissipative Mechano-Electro-Magnetism Simulations in Electronic Components Yiming Liu, Wolfgang H. Müller, and Bilen Emek Abali29.1 Introduction29.2 Governing Equations 29.3 Constitutive Equations 29.4 Generating Weak Forms 29.5 Implementation and Results 29.6 Conclusion References 30 On Possible Reduction of Gradient Theories of Elasticity Sergey A. Lurie, Petr A. Belov, and Yury O. Solyaev30.1 Introduction30.2 Variational Formulation of Gradient Theories 30.3 Structure of Sixth Rank Tensors 30.4 Special Structure of Gradient Part of Potential Energy. Hypothesis on Absence of Divergent Terms30.5 Features of Variational Formulation of Vector-Type Gradient Models 30.6 System of Governing Equilibrium Equations 30.7 On Uniqueness of Reduced Vector-Type Models 30.8 Conclusions References 31 Dynamics of a Rectangular Rigid Body on a Movable Base Vladimir S. Metrikin, Leonid A. Igumnov, and Elena I. Komarova31.1 Introduction 31.2 Mathematical Model31.3 Construction of a Point Mapping of the Poincaré Surface 31.3.1 The Coordinates of the Fixed Point Corresponding to the Symmetrical Periodic Motion. Sustainability 31.3.2 Equations for Determining the Coordinates of a Fixed Point Corresponding to Asymmetric Periodic Motions.Sustainability 31.4 Numerical Results for ¥����(����) = ����sin(��������) 31.5 Numerical Results 31.6 Conclusion References 32 Asymptotically Correct Analytical Model for Flexural Response of a Two-Layer Strip with Contrast Elastic Constants Gennadi Mikhasev and Nguyen Le32.1 Introduction 32.2 Statement of the Problem 32.3 Bernoulli-Euler Type Model for Strip Consisting of Layers with Close Material Constants 32.4 Timoshenko-Reissner Type Model for Strip Consisting of Layers with High-Contrast Elastic Properties 32.4.1 Leading Approximation 32.4.2 First-Order Approximation 32.4.3 One-Dimensional Governing Equation32.5 Free Vibrations 32.6 ConclusionsReferences 33 On Analytical Modeling of Tension-Assisted Winding of Flexible Sheets Aleksandr Morozov, Wilhelm Rickert, and Sergei Shubin33.1 Introduction 33.2 General Assumptions for the Winding Problem 33.3 Winding the First Layer 33.4 Winding the Subsequent Layers 33.5 Conclusions References 34 On Using Rotations as Primary Variables in the Nonlinear Theory of Thin Elastic Shells Wojciech Pietraszkiewicz34.1 Introduction 34.2 Geometry and Deformation of the Reference Surface 34.3 Equilibrium Conditions 34.4 Boundary Value Problem with Independent Rotations 34.5 Constitutive Equations of Rubber-Like Shells References 35 Continuum Description of Extended Mass-in-Mass Metamaterial Models Alexey V. Porubov35.1 Introduction 35.2 Classic Mass-in-Mass Chain 35.3 Chain with Extra Attached Masses35.4 Chain with Extra Internal Attached Masses 35.5 Attached Masses Through one Element of the Main Chain 35.6 Conclusions References 36 Multi-Element Metamaterial’s Design Through the Relaxed Micromorphic Model Leonardo A. Perez Ramirez, Gianluca Rizzi, and Angela Madeo36.1 Introduction 36.2 The Relaxed Micromorphic Model: Constitutive laws,Equilibrium Equations, and Boundary Conditions 36.2.1 Equilibrium Equations 36.2.2 Boundary and Interface Conditions 36.2.3 Numerical Results 36.3 Parametric Study on the Thickness of a Shielding Device: Capability Limit for the Relaxed Micromorphic Model 36.4 Design of a Double Shield Device 36.5 Multiple-Shields Optimization 36.6 Conclusions References37 On Magnetically Induced Motion of Micropolar FerrofluidsWilhelm Rickert, Margarita Dementeva, Gregor Ganzosch, Elena N.Vilchevskaya, and Wolfgang H. Müller37.1 Introduction 37.2 A Flow Problem Coupled to Electromagnetism 37.3 Simplifications and Normalization 37.4 Electromagnetic Force Density 37.5 Initial Values, Boundary Conditions and Implementation 37.6 Results 37.6.1 Slip 37.6.2 No Slip 37.6.3 Homogeneous Magnetic Field 37.7 Summary References 38 Manufacturing Quality Evaluation of Photopolymer Resin 3D-Printed Scaffolds Using Microtomography Evgeniy V. Sadyrin, Andrey L. Nikolaev, Sergei V. Chapek, Dmitry V.Nazarenko, Sergei M. Aizikovich, and Yun-Che Wang38.1 Introduction 38.2 Materials and Methods 38.3 Results and Discussion 38.4 Conclusion References 39 Comparison of Homogenization Techniques in Strain Gradient Elasticity for Determining Material Parameters Bekir Cagri Sarar, M. Erden Yildizdag, and Bilen Emek Abali39.1 Introduction 39.2 Determining Strain Gradient Parameters 39.3 Microscale Structure 39.4 Results and Discussion 39.5 Conclusion References 40 Buckling of Rectangular Micropolar Plate with Prestressed Coatings Denis N. Sheydakov40.1 Introduction 40.2 Micropolar Plate with Prestressed Coatings40.3 Equations of Neutral Equilibrium 40.4 Micropolar Plate with Identical Coatings 40.5 Conclusion References 41 A Cosserat Model for Fiber-Reinforced Elastic Plates David J. Steigmann, Mircea Bîrsan, and Milad Shirani41.1 Introduction 41.2 The Three-Dimensional Cosserat Model for Fiber-Reinforced Elastic Solids 41.2.1 Kinematical Variables and Strain Measures in Cosserat Elasticity 41.2.2 Fiber-Reinforced Materials 41.2.3 Equilibrium and Constitutive Equations 41.3 Plate Theory for Fiber-Reinforced Laminae41.4 Specific Constitutive Assumptions 41.4.1 Coercivity 41.4.2 Minimum Property Appendix References 42 On the Structure of Solutions in the Vicinity of Discontinuity of Boundary Conditions for Gradient ModelsAlexander O. Vatulyan, Sergey A. Nesterov, Victor O. Yurov, and OksanaV. Yavruyan42.1 Introduction 42.2 Constitutive Relations of the Gradient Theory of Elasticity and Electroelasticity 42.3 Problem for a Strip with Delamination 42.4 Problem for an Electroelastic Strip with a Surface Electrode42.5 Conclusion References 43 A Damaged Medium Model for Assessing Life Characteristics of Polycrystalline Structural Alloys with Joint Mechanical Fatigue and Long-Term Strength of Material Ivan A. Volkov, Leonid A. Igumnov, Aleksandr A. Belov, and Andrey I.Volkov43.1 Introduction43.2 Constitutive Relations of the Mathematical Model of Mechanics of Damaged Medium 43.2.1 Constitutive Relations of Thermoviscoplasticity 43.2.2 Evolutionary Equations for Damage Accumulation43.3 Numerical Results 43.4 ConclusionReferences44 Bandgap Properties of a Class of Chiral and Achiral Metamaterials Yun-Che Wang, Tse-Chun Liao, Kai-Wen Tan, and Sergey M. Aizikovich44.1 Introduction 44.2 Theoretical Considerations 44.3 Numerical Considerations 44.4 Results and Discussion 44.5 Conclusions References45 Large Strains of a Spherical Shell with Distributed Dislocations and Disclinations Leonid M. Zubov and Mikhail I. Karyakin45.1 Introduction 45.2 The Model of a Nonlinear Elastic Micropolar Shell 45.3 Continuously Distributed Dislocations in an Elastic MicropolarShell 45.4 Transformation of Incompatibility Equations and EquilibriumEquations 45.5 Equilibrium of a Closed Spherical Shell with DistributedDislocations and Disclinations 45.6 Numerical Results 45.7 Conclusions References

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Book SynopsisThere is a huge gulf between the real physics of space travel and the way it is commonly portrayed in movies and TV shows. That’s not because space physics is difficult or obscure – most of the details were understood by the end of the 18th century – but because it can often be bafflingly counter-intuitive for a general audience. The purpose of this book isn’t to criticize or debunk popular sci-fi depictions, which can be very entertaining, but to focus on how space physics really works. This is done with the aid of numerous practical illustrations taken from the works of serious science fiction authors – from Jules Verne and Arthur C. Clarke to Larry Niven and Andy Weir – who have taken positive pleasure in getting their scientific facts right.Trade Review“This slim book has the appealing premise of looking at the basics of space physics, from gravity through rocket science to the nature of a vacuum, by using examples from 'well-constructed science fiction'. ... a great read both for those who enjoy science fiction (or want to write it) and those wanting to know a little more of the realities of potential life in space.” (Popular Science, popsciencebooks.blogspot.com, July 24, 2023)Table of ContentsChapter 1: Physics in Science Fiction Chapter 2: Gravity Chapter 3: Orbital DynamicsChapter 4: Rocket Science Chapter 5: Living in a Vacuum

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Book SynopsisPreface.- 1 Damage Behavior in Additive Manufacturing based on Infill Pattern and Density with Carbon Particle Filled PolyLactic Acid (CF-PLA) Polymer Filaments.- 2 Advanced Mathematical Modeling of Moisture Transport in Polymer Composite Materials: State-of-the-Art and Numerical Computation.- 3 Natural Vibration and Stability of Prestressed Cylindrical Shells Containing Fluid.- 4 Creep and Fretting Wear Modelling for Rod-Cylinder Periodical Contacts.- 5 Influence of UV Irradiation on the Tensile Properties of Titanium Dioxide Composites for the Selective Laser Sintering Process.- 6 Ellipticity and Hyperbolicity Within Nonlinear Strain Gradient Elasticity: 1D Case.- 7 Dispersive and Dissipative Effects During the Propagation of Plane Shear Waves in Plates which Interact with Linear Elastic and Nonlinear Elastic Foundations.- 8 Effective Properties of Micropolar Laminated Media Under the Influence of Constitutive Property Rotation.- 9 Torsion o

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Book SynopsisThis book focuses on the mechanical properties and performance of products made of fiber-based materials. It helps students to develop skills for solving problems of product performance and engineering challenges in product development. Organized with a problem-based approach - practical examples of product performance are presented and the relevant mechanics are analyzed to deduce which material properties control the performance. The new edition covers state-of-the-art and green technologies as modeling of fiber networks and applications of nanocellulose.

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Book SynopsisMathematische Grundlagen - Kinematik - Dynamik - Statik starrer Systeme - Statik deformierbarer Systeme - Kinetik starrer Systeme - Kinetik deformierbarer Systeme - Prinzipien der Mechanik.Trade Review,,(...) Vor allem auch aufgrund der systematisch gegliederten Darstellung sowie der klar formulierten Aussagen kann dieses Buch allen Studenten, Naturwissenschaftlern und Ingenieuren sehr empfohlen werden, die sich in die Grundlagenwissenschaft 'Mechanik' einarbeiten wollen und/oder die diese als ein wertvolles Instrument zum Lösen technischer Probleme benötigen."VDI-Z 18/1986Table of ContentsMathematische Grundlagen - Kinematik - Dynamik - Statik starrer Systeme - Statik deformierbarer Systeme - Kinetik starrer Systeme - Kinetik deformierbarer Systeme - Prinzipien der Mechanik.

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Book SynopsisDie Grundlagen und Methoden, die zur theoretischen Modellierung und zur Analyse von Strömungsvorgängen mit nicht-newtonschen Fluiden erforderlich sind, werden in diesem Lehrbuch vorgestellt. Zunächst werden die kinematischen, die kontinuumsmechanischen und die stofflichen Grundlagen ausführlich erläutert. Die Anwendung des Basiswissens erfolgt exemplarisch anhand ausgewählter Strömungsvorgänge, die maßgeblich von den nichtlinearen Fließeigenschaften, von den Normalspannungsdifferenzen oder vom Gedächtnis der Flüssigkeiten beeinflusst werden. Dabei haben sich die Inhalte, die Schwerpunkte und die Beispiele gegenüber der ersten Auflage wesentlich geändert. Erstmalig in einem deutschsprachigen Lehrbuch werden auch die Grundzüge einer numerischen Strömungssimulation unter Berücksichtigung komplexer rheologischer Stoffmodelle behandelt.Trade Review"Erstmalig in einem deutschsprachigen Lehrbuch werden auch die Grundzüge einer numerischen Strömungssimulation unter Berücksichtigung komplexer rheologischer Stoffmodelle behandelt." (Zentralblatt MATH, Ausgabe 973/01, 15.12.01)Table of ContentsNichtnewtonsche Strömungsphänomene - Kinematik fluider Kontinua: Grundbegriffe, Deformationsgeschwindigkeiten, Verzerrungstensoren, Strömungen mit eingeschränkter Kinematik, konvektives Mischen - Kontinuumsmechanische Grundlagen: Spannung und Volumenkraft, integrale und differenzielle Formen der Bilanzgleichungen - Auswirkungen der Normalspannungsdifferenzen: Kegel-Platte-Strömung, Weißenbergeffekt, Strangaufwertung, Normalspannungseffekte an suspendierten Partikeln, Sekundärströmungen - Gedächtnisflüsse bei instationären Strömungen - Numerische Strömungssimulation

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Book SynopsisTable of ContentsAnleitung zum Lösen von Aufgaben.- 1. Aufgaben.- 1.1. Statik.- 1.1.1. Kräfte an einem Punkt.- 1.1.2. Kräfte in der Ebene.- 1.1.3. Auf lager-und Schnittgrößenermittlung für ebene-Tragwerke.- 1.1.4. Kräfte im Raum.- 1.1.5. Reibung.- 1.2. Festigkeitslehre.- 1.2.1. Spannungstransformation.- 1.2.2. Trägheitsmomentenermittlung.- 1.2.3. Zug und Druck.- 1.2.4. Torsion.- 1.2.5. Biegung.- 1.2.6. Schub.- 1.2.7. Behälter.- 1.2.8. Elastische Linie.- 1.2.9. Satz von Castigltano.- 1.2.9.1. Ebene Probleme.- 1.2.9.1.1. Statisch bestimmte Aufgaben.- 1.2.9.1.2. Statisch unbestimmte Aufgaben.- 1.2.9.2. Räumliche Probleme.- 1.2.10. Übertragungsmatrix.- 1.2.11. Träger starker Krümmung.- 1.2.12. Rotationssymmetrische Probleme.- 1.2.13. Stabilität.- 1.2.14. Plastizität — Viskoelastizität.- 1.3. Dynamik.- 1.3.1. Kinematik.- 1.3.2. Dynamische Grundgleichung — Energiesatz — Impulssatz.- 1.3.3. Schwingungen.- 1.3.3.1. Einfache Schwingungen.- 1.3.3.2. Gekoppelte Schwingungen.- 1.3.3.3. Nichtlineare Schwingungen.- 1.3.4. Massenträgheitsmoment.- 2. Lösungen.- 2.1. Statik.- 2.1.1. Kräfte an einem Punkt.- 2.1.2. Kräfte in der Ebene.- 2.1.3. Auflager- und Schnittgrößenermittlung für ebene Tragwerke.- 2.1.4. Kräfte im Raum.- 2.1.5. Reibung.- 2.2. Festigkeitslehre.- 2.2.1. Spannungstransformation.- 2.2.2. Trägheitsmomentenermittlung.- 2.2.3. Zug — Druck.- 2.2.4. Torsion.- 2.2.5. Biegung.- 2.2.6. Schub.- 2.2.7. Behälter.- 2.2.8. Elastische Linie.- 2.2.9. Satz von Castigliano.- 2.2.9.1. Ebene Probleme.- 2.2.9.1.1. Statisch bestimmte Aufgaben.- 2.2.9.1.2. Statisch unbestimmte Aufgaben.- 2.2.9.2. Räumliche Probleme.- 2.2.10. Übertragungsmatrix.- 2.2.11. Träger starker Krümmung.- 2.2.12. Rotationssymmetrische Probleme.- 2.2.13. Stabilität.- 2.2.14. Plastizität — Viskoelastizität.- 2.3. Dynamik.- 2.3.1. Kinematik.- 2.3.2. Dynamische Grundgleichung — Prinzip d ‘Alembert — Energiesatz — Impuls-Satz.- 2.3.3. Schwingungen.- 2.3.3.1. Einfache Schwingungen.- 2.3.3.2. Gekoppelte Schwingungen.- 2.3.3.3. Nichtlineare Schwingung.- 2.3.4. Massenträgheitsmoment.

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Book SynopsisData on the densities of organic compounds is essential for both scientific and industrial applications. A knowledge of densities is important in many areas, including custody transfer of materials, product specification, development of various predictive methods, and for characterizing compounds and estimating their purity. The densities of normal and branched alkanes are collected from the original literature published from 1863 to early 1996. All the values were critically evaluated. The tables contain the original literature data, along with their estimated uncertainties, and the evaluated data, in both numerical form and as coefficients to equations with selected statistical information. The volume also contains the CASR Number Index and a Chemical Name Index.

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Book Synopsis1 Introduction Data extract from Landolt-Börnstein IV/17: Static Dielectric Constants of Pure Liquids and Binary Liquid Mixtures 1. 1 Selection of data This supplement updates Landolt-Börnstein's New Series Group IV (Physical Chemistry) Volume 6, Static Dielectric Constants of Pure Liquids and Binary Liquid Mixtures, published in the year 1991 [1991WOH1]. The update provides experimental data published in the years 1991 to 2006. The ?nal date for including data was December, 31st, 2006. Specialization and selection of data for this new update follows the intentions of the original volume. The focus is on non-electrolyte systems, and only data for pure liquids and binary liquid mixtures at normal pr- sure (or in some single cases at the saturation vapor pressure) were taken into account for this volume. No data at higher pressures were collected, no data for the gaseous state, and no data for dielectric relaxation processes at higher frequencies have been included. For mixtures, this data collection is restricted to binary liquid mixtures, i. e. no ternary systems and also no solutions of any solids, salts, electrolytes, polymers are included here. At least, also molten metals and metallic alloys, molten salts, molten glasses and other hi- temperature melts were not taken into account. As the amount of data collected between 1991 and 2006 exceeds the available space for printing by far, the volume has an electronic version containing additional data which is available on www. landolt-boernstein.Table of Contents1 Introduction.- Index of Substances.- Dielectric constant of oxygen.- Dielectric constant of carbon dioxide.- Dielectric constant of carbon disulfide.- Dielectric constant of dideuterium oxide.- Dielectric constant of water.- Dielectric constant of nitrous oxide.- Dielectric constant of diisopropoxy-dimethylsilane.- Dielectric constant of dimethyl-dipropoxysilane.- Dielectric constant of dibutoxy-dimethylsilane.- Dielectric constant of bis(2-butoxy)-dimethylsilane.- Dielectric constant of dimethyl-dipentyloxysilane.- Dielectric constant of dimethyl-bis(2-pentyloxy)silane.- Dielectric constant of bis(2-ethylbutoxy)-dimethylsilane.- Dielectric constant of dimethyl-dihexyloxysilane.- Dielectric constant of dimethyl-diheptyloxysilane.- Dielectric constant of dimethyl-bis(2-heptyloxy)silane.- Dielectric constant of bis(2-ethylhexyloxy)-dimethylsilane.- Dielectric constant of dimethyl-dioctyloxysilane.- Dielectric constant of didecyloxy-dimethylsilane.- Dielectric constant of bis(2-dodecyloxy)-dimethylsilane.- Dielectric constant of hexamethylphosphortriamide.- Dielectric constant of dichlorodifluoromethane.- Dielectric constant of fluorotrichloromethane.- Dielectric constant of tetrachloromethane.- Dielectric constant of tetrafluoromethane.- Dielectric constant of tribromomethane.- Dielectric constant of chlorodifluoromethane.- Dielectric constant of trichloromethane.- Dielectric constant of trifluoromethane.- Dielectric constant of dichloromethane.- Dielectric constant of difluoromethane.- Dielectric constant of formic acid.- Dielectric constant of formamide.- Dielectric constant of nitromethane.- Dielectric constant of methanol.- Dielectric constant of tetrachloroethene.- Dielectric constant of 2-chloro-1,1,1,2-tetrafluoroethane.- Dielectric constant of 2,2-dichloro-1,1,1-trifluoroethane.- Dielectric constant of 1,1,2-trichloroethene.- Dielectric constant of 1,1,1,2,2-pentafluoroethane.- Dielectric constant of 1,1,2,2-tetrachloroethane.- Dielectric constant of 1,1,1,2-tetrafluoroethane.- Dielectric constant of 1-chloro-1,1-difluoroethane.- Dielectric constant of 1,1-dichloro-1-fluoroethane.- Dielectric constant of 1,1,1-trifluoroethane.- Dielectric constant of 2,2,2-trifluoroethanol.- Dielectric constant of acetonitrile.- Dielectric constant of 1,2-dibromoethane.- Dielectric constant of 1,2-dichloroethane.- Dielectric constant of 1,1-difluoroethane.- Dielectric constant of acetic acid.- Dielectric constant of chloroethane.- Dielectric constant of 2-chloroethanol.- Dielectric constant of N-methylformamide.- Dielectric constant of ethanol.- Dielectric constant of dimethylsulfoxide.- Dielectric constant of ethane-1,2-diol.- Dielectric constant of dimethylsulfide.- Dielectric constant of 2-aminoethanol.- Dielectric constant of octafluoropropane.- Dielectric constant of 1,1-dichloro-2,2,3,3,3-pentafluoropropane.- Dielectric constant of 1,3-dichloro-1,1,2,2,3-pentafluoropropane.- Dielectric constant of 1,1,1,2,3,3-hexafluoropropane.- Dielectric constant of 1,1,1,3,3,3-hexafluoropropane.- Dielectric constant of bis(difluoromethoxy)difluoromethane.- Dielectric constant of 1,1,1,3,3-pentafluoropropane.- Dielectric constant of 1-(difluoromethoxy)-1,1,2-trifluoroethane.- Dielectric constant of 2,2,3,3,3-pentafluoropropan-1-ol.- Dielectric constant of 1,1,2,2-tetrafluoro-1-methoxyethane.- Dielectric constant of 2,2,3,3-tetrafluoropropan-1-ol.- Dielectric constant of ethylene carbonate.- Dielectric constant of propan-2-one.- Dielectric constant of methyl acetate.- Dielectric constant of propanoic acid.- Dielectric constant of dimethyl carbonate.- Dielectric constant of N,N-dimethylformamide.- Dielectric constant of propane.- Dielectric constant of propan-1-ol.- Dielectric constant of propan-2-ol.- Dielectric constant of 2-methoxyethanol.- Dielectric constant of propane-1,2-diol.- Dielectric constant of propane-1,3-diol.- Dielectric constant of ethyl methyl sulfone.- Dielectric constant of propane-1,2,3-triol.- Dielectric constant of propylamine.- Dielectric constant of octafluorocyclobutane.- Dielectric constant of undecafluorobutylamine.- Dielectric constant of 1,2-bis(difluoromethoxy)-1,1,2,2-tetrafluoroethane.- Dielectric constant of oxybis[(difluoromethoxy)difluoromethane].- Dielectric constant of 2,2,3,3,4,4,4-heptafluorobutan-1-ol.- Dielectric constant of 1,1,1,2,2-pentafluoro-3-(difluoromethoxy)-propane.- Dielectric constant of 1,1,2,2-tetrafluoro-1-(2,2,2-trifluoroethoxy)-ethane.- Dielectric constant of 1,1,2,2,3,3-hexafluoro-1-methoxypropane.- Dielectric constant of 1,1,1,3,3,3-hexafluoro-2-methoxypropane.- Dielectric constant of 1,1,2,2-tetrafluoro-1-(2,2-difluoroethoxy)-ethane.- Dielectric constant of 1,1,2,2-tetrafluoro-3-(difluoromethoxy)-propane.- Dielectric constant of 2,2,2-trifluoroethyl methyl carbonate.- Dielectric constant of 1,1,2,2-tetrafluoro-3-methoxypropane.- Dielectric constant of ?-butyrolactone.- Dielectric constant of methyl acrylate.- Dielectric constant of propylene carbonate.- Dielectric constant of 4-(hydroxymethyl)-1,3-dioxolan-2-one.- Dielectric constant of butanenitrile.- Dielectric constant of pyrrolidine-2-one.- Dielectric constant of butan-2-one.- Dielectric constant of tetrahydrofuran.- Dielectric constant of 1,4-dioxane.- Dielectric constant of ethyl acetate.- Dielectric constant of methyl propanoate.- Dielectric constant of tetrahydrothiophene-1,1-dioxide.- Dielectric constant of 1-bromobutane.- Dielectric constant of N,N-dimethylacetamide.- Dielectric constant of N-methylpropionamide.- Dielectric constant of butan-1-ol.- Dielectric constant of butan-2-ol.- Dielectric constant of diethyl ether.- Dielectric constant of 2-methylpropan-1-ol.- Dielectric constant of 2-methylpropan-2-ol.- Dielectric constant of diethylsulfoxide.- Dielectric constant of butane-1,2-diol.- Dielectric constant of butane-1,3-diol.- Dielectric constant of butane-1,4-diol.- Dielectric constant of butane-2,3-diol.- Dielectric constant of 1,2-dimethoxyethane.- Dielectric constant of 2-ethoxyethanol.- Dielectric constant of methyl propyl sulfone.- Dielectric constant of 2-(2-hydroxyethoxy)-ethanol.- Dielectric constant of 2-aminobutane.- Dielectric constant of 1-amino-2-methylpropane.- Dielectric constant of 2-amino-2-methylpropane.- Dielectric constant of butylamine.- Dielectric constant of diethylamine.- Dielectric constant of 1-(difluoromethoxy)-2-[(difluoromethoxy)-difluoromethoxy]-1,1,2,2-tetrafluroethane.- Dielectric constant of 3,3,4,4,5,5,5-heptafluoropentan-2-one.- Dielectric constant of 3,4,4,4-tetrafluoro-3-(trifluoromethyl)-butan-2-one.- Dielectric constant of 1,1,2,2-tetrafluoro-2-(trifluoromethoxy)-butane.- Dielectric constant of pyridine.- Dielectric constant of 3-propylsydnone.- Dielectric constant of ethyl acrylate.- Dielectric constant of methyl methacrylate.- Dielectric constant of ?-valerolactone.- Dielectric constant of ?-valerolactone.- Dielectric constant of 4-ethyl-1,3-dioxolan-2-one.- Dielectric constant of pentanenitrile.- Dielectric constant of N-methylpyrrolidine-2-one.- Dielectric constant of N-formylmorpholine.- Dielectric constant of 1,3-dimethyl-2-imidazolidinone.- Dielectric constant of cyclopentanol.- Dielectric constant of pentan-3-one.- Dielectric constant of 2-methyltetrahydrofuran.- Dielectric constant of ethyl propanoate.- Dielectric constant of methyl butanoate.- Dielectric constant of diethyl carbonate.- Dielectric constant of 3-methoxysulfolane.- Dielectric constant of 1-bromo-3-methylbutane.- Dielectric constant of pentane.- Dielectric constant of 2-methylbutan-1-ol.- Dielectric constant of 2-methylbutan-2-ol.- Dielectric constant of pentan-1-ol.- Dielectric constant of pentan-2-ol.- Dielectric constant of 2,2-dimethylpropane-1,3-diol.- Dielectric constant of 3-methylbutane-1,3-diol.- Dielectric constant of 2-isopropoxyethanol.- Dielectric constant of pentane-1,5-diol.- Dielectric constant of butyl methyl sulfone.- Dielectric constant of hexafluorobenzene.- Dielectric constant of 1,1'-oxybis[2-(difluoromethoxy)-1,1,2,2-tetrafluroethane].- Dielectric constant of 3,3,4,4,5,5,6,6,6-nonafluorohexan-2-one.- Dielectric constant of 1-bromo-2-chlorobenzene.- Dielectric constant of 1-bromo-3-chlorobenzene.- Dielectric constant of 1,2-dichlorobenzene.- Dielectric constant of 2-cyanopyridine.- Dielectric constant of bromobenzene.- Dielectric constant of chlorobenzene.- Dielectric constant of nitrobenzene.- Dielectric constant of benzene.- Dielectric constant of 2-chloroaniline.- Dielectric constant of 3-chloroaniline.- Dielectric constant of 4-fluoroaniline.- Dielectric constant of 4-nitroaniline.- Dielectric constant of aniline.- Dielectric constant of 3-methylpyridine.- Dielectric constant of 4-methylpyridine.- Dielectric constant of 3-methylpyridine-1-oxide.- Dielectric constant of N-vinylpyrrolidin-2-one.- Dielectric constant of 3-butylsydnone.- Dielectric constant of 3-sec-butylsydnone.- Dielectric constant of cyclohexanone.- Dielectric constant of ?-caprolactone.- Dielectric constant of ethyl methacrylate.- Dielectric constant of hexanenitrile.- Dielectric constant of cyclohexane.- Dielectric constant of cyclohexanol.- Dielectric constant of 2,5-dimethyltetrahydrofuran.- Dielectric constant of butyl acetate.- Dielectric constant of ethyl butanoate.- Dielectric constant of 2-methylpropyl acetate.- Dielectric constant of 2,4-dimethylsulfolane.- Dielectric constant of 1-chlorohexane.- Dielectric constant of 1-iodohexane.- Dielectric constant of cyclohexylamine.- Dielectric constant of hexane.- Dielectric constant of diisopropyl ether.- Dielectric constant of hexan-1-ol.- Dielectric constant of 2-methylpentan-1-ol.- Dielectric constant of 2-butoxyethanol.- Dielectric constant of hexane-2,5-diol.- Dielectric constant of 2-isobutoxyethanol.- Dielectric constant of 2-methylpentane-2,4-diol.- Dielectric constant of 2-(2-ethoxyethoxy)ethanol.- Dielectric constant of hexane-1,2,6-triol.- Dielectric constant of triethylene glycol.- Dielectric constant of dipropylamine.- Dielectric constant of triethylamine.- Dielectric constant of tetradecafluoromethylcyclohexane.- Dielectric constant of 3,3,4,4,5,5,6,6,7,7,7-undecafluoroheptan-2-one.- Dielectric constant of 2-chlorobenzotrifluoride.- Dielectric constant of ethyl perfluoropentyl ether.- Dielectric constant of 2-trifluoromethylaniline.- Dielectric constant of 3-trifluoromethylaniline.- Dielectric constant of 1-bromo-2-methoxybenzene.- Dielectric constant of perfluorobutyl propyl ether.- Dielectric constant of methyl isonicotinate.- Dielectric constant of 2-nitrotoluene.- Dielectric constant of 3-nitrotoluene.- Dielectric constant of toluene.- Dielectric constant of methoxybenzene.- Dielectric constant of benzyl alcohol.- Dielectric constant of 2,6-dimethylpyridine.- Dielectric constant of 2-methoxyaniline.- Dielectric constant of 3-propyl-4-ethylsydnone.- Dielectric constant of butyl acrylate.- Dielectric constant of cycloheptanol.- Dielectric constant of 3-methylbutyl acetate.- Dielectric constant of 1-iodoheptane.- Dielectric constant of heptane.- Dielectric constant of heptan-1-ol.- Dielectric constant of 2-methylhexan-1-ol.- Dielectric constant of heptane-1,7-diol.- Dielectric constant of propylene glycol monobutyl ether.- Dielectric constant of dipropylene glycol monomethyl ether.- Dielectric constant of perfluoro-1,3-dimethylcyclohexane.- Dielectric constant of perfluorooctane.- Dielectric constant of 4-fluorophenylacetonitrile.- Dielectric constant of 4-chloroacetophenone.- Dielectric constant of 2-nitroacetophenone.- Dielectric constant of acetophenone.- Dielectric constant of 2'-hydroxyacetophenone.- Dielectric constant of methyl benzoate.- Dielectric constant of ethyl nicotinate.- Dielectric constant of 1,2-dimethylbenzene.- Dielectric constant of 1,3-dimethylbenzene.- Dielectric constant of 1,4-dimethylbenzene.- Dielectric constant of ethylbenzene.- Dielectric constant of 4-ethylphenol.- Dielectric constant of 1,2-dimethoxybenzene.- Dielectric constant of 1,3-dimethoxybenzene.- Dielectric constant of N-ethylaniline.- Dielectric constant of 2-ethylaniline.- Dielectric constant of butyl methacrylate.- Dielectric constant of isobutyl methacrylate.- Dielectric constant of octanenitrile.- Dielectric constant of octanoic acid.- Dielectric constant of octane.- Dielectric constant of 2,2,4-trimethylpentane.- Dielectric constant of 1-butoxybutane.- Dielectric constant of 2-ethylhexan-1-ol.- Dielectric constant of 2-methylheptan-1-ol.- Dielectric constant of 6-methylheptan-2-ol.- Dielectric constant of 4-methylheptan-3-ol.- Dielectric constant of octan-1-ol.- Dielectric constant of octan-2-ol.- Dielectric constant of 2-(2-butoxyethoxy)ethanol.- Dielectric constant of 1,2-bis-(2-methoxyethoxy)ethane.- Dielectric constant of perfluoro-2-methyl-3-isopropylpentane.- Dielectric constant of isoquinoline.- Dielectric constant of quinoline.- Dielectric constant of ethyl benzoate.- Dielectric constant of isopropylbenzene.- Dielectric constant of 1,3,5-trimethylbenzene.- Dielectric constant of 1-chlorononane.- Dielectric constant of nonane.- Dielectric constant of perfluorodecaline.- Dielectric constant of cis-perfluorodecaline.- Dielectric constant of trans-perfluorodecaline.- Dielectric constant of naphthalene.- Dielectric constant of 1,2,3,4-tetrahydronaphthalene.- Dielectric constant of cis-decahydronaphthalene.- Dielectric constant of trans-decahydronaphthalene.- Dielectric constant of diethyl adipate.- Dielectric constant of decanenitrile.- Dielectric constant of decane.- Dielectric constant of decan-1-ol.- Dielectric constant of dipropylene glycol monobutyl ether.- Dielectric constant of 2-(2-hexyloxyethoxy)ethanol.- Dielectric constant of tri(ethylene glycol) monobutyl ather.- Dielectric constant of tetra(ethylene glycol) dimethyl ether.- Dielectric constant of isobutyl salicylate.- Dielectric constant of undecanenitrile.- Dielectric constant of diethyl phthalate.- Dielectric constant of dodecanoic acid.- Dielectric constant of dodecane.- Dielectric constant of dodecan-1-ol.- Dielectric constant of tributylamine.- Dielectric constant of benzyl nicotinate.- Dielectric constant of benzyl benzoate.- Dielectric constant of tetradecane.- Dielectric constant of hexadecane.- Dielectric constant of docosanoic acid.- Dielectric constant of deca(ethylene glycol) p-isononylphenyl ether.- Dielectric constant of the mixture (1) water; (2) dideuterium oxide.- Dielectric constant of the mixture (1) carbon dioxide; (2) methanol.- Dielectric constant of the mixture (1) carbon dioxide; (2) ethanol.- Dielectric constant of the mixture (1) carbon dioxide; (2) toluene.- Dielectric constant of the mixture (1) carbon disulfide; (2) phosphoric acid tributyl ester.- Dielectric constant of the mixture (1) water; (2) formic acid.- Dielectric constant of the mixture (1) water; (2) formamide.- Dielectric constant of the mixture (1) water; (2) urea.- Dielectric constant of the mixture (1) water; (2) methanol.- Dielectric constant of the mixture (1) water; (2) 1-methylhydrazine.- Dielectric constant of the mixture (1) water; (2) 2,2,2-trifluoroethanol.- Dielectric constant of the mixture (1) water; (2) acetonitrile.- Dielectric constant of the mixture (1) water; (2) acetic acid.- Dielectric constant of the mixture (1) water; (2) N-methylformamide.- Dielectric constant of the mixture (1) water; (2) aminoacetic acid.- Dielectric constant of the mixture (1) water; (2) ethanol.- Dielectric constant of the mixture (1) water; (2) dimethylsulfoxide.- Dielectric constant of the mixture (1) water; (2) ethane-1,2-diol.- Dielectric constant of the mixture (1) water; (2) 2-aminoethanol.- Dielectric constant of the mixture (1) water; (2) 1,1-dimethylhydrazine.- Dielectric constant of the mixture (1) water; (2) ethylene carbonate.- Dielectric constant of the mixture (1) water; (2) propan-2-one.- Dielectric constant of the mixture (1) water; (2) propanoic acid.- Dielectric constant of the mixture (1) water; (2) N,N-dimethylformamide.- Dielectric constant of the mixture (1) water; (2) propan-1-ol.- Dielectric constant of the mixture (1) water; (2) 2-methoxyethanol.- Dielectric constant of the mixture (1) water; (2) propane-1,2-diol.- Dielectric constant of the mixture (1) water; (2) propane-1,3-diol.- Dielectric constant of the mixture (1) water; (2) propane-1,2,3-triol.- Dielectric constant of the mixture (1) water; (2) pyrrolidine-2-one.- Dielectric constant of the mixture (1) water; (2) tetrahydrofuran.- Dielectric constant of the mixture (1) water; (2) butanoic acid.- Dielectric constant of the mixture (1) water; (2) 1,4-dioxane.- Dielectric constant of the mixture (1) water; (2) tetrahydrothiophene-1,1-dioxide.- Dielectric constant of the mixture (1) water; (2) N,N-dimethylacetamide.- Dielectric constant of the mixture (1) water; (2) N-methylpropionamide.- Dielectric constant of the mixture (1) water; (2) butan-1-ol.- Dielectric constant of the mixture (1) water; (2) butan-2-ol.- Dielectric constant of the mixture (1) water; (2) 2-methylpropan-2-ol.- Dielectric constant of the mixture (1) water; (2) butane-1,2-diol.- Dielectric constant of the mixture (1) water; (2) butane-1,3-diol.- Dielectric constant of the mixture (1) water; (2) butane-1,4-diol.- Dielectric constant of the mixture (1) water; (2) butane-2,3-diol.- Dielectric constant of the mixture (1) water; (2) 1,2-dimethoxyethane.- Dielectric constant of the mixture (1) water; (2) 2-ethoxyethanol.- Dielectric constant of the mixture (1) water; (2) 2-(2-hydroxyethoxy)-ethanol.- Dielectric constant of the mixture (1) water; (2) pyridine.- Dielectric constant of the mixture (1) water; (2) N-methylpyrrolidine-2-one.- Dielectric constant of the mixture (1) water; (2) 1,3-dimethyl-2-imidazolidinone.- Dielectric constant of the mixture (1) water; (2) butylurea.- Dielectric constant of the mixture (1) water; (2) 1,1,3,3-tetramethylurea.- Dielectric constant of the mixture (1) water; (2) 2-isopropoxyethanol.- Dielectric constant of the mixture (1) water; (2) pentane-1,5-diol.- Dielectric constant of the mixture (1) water; (2) N-vinylpyrrolidin-2-one.- Dielectric constant of the mixture (1) water; (2) 2-butoxyethanol.- Dielectric constant of the mixture (1) water; (2) 2-isobutoxyethanol.- Dielectric constant of the mixture (1) water; (2) 2-(2-ethoxyethoxy)ethanol.- Dielectric constant of the mixture (1) water; (2) triethylene glycol.- Dielectric constant of the mixture (1) water; (2) hexamethylphosphortriamide.- Dielectric constant of the mixture (1) water; (2) heptane-1,7-diol.- Dielectric constant of the mixture (1) water; (2) dipropylene glycol monomethyl ether.- Dielectric constant of the mixture (1) water; (2) 2-(2-butoxyethoxy)ethanol.- Dielectric constant of the mixture (1) water; (2) 2-(2-hexyloxyethoxy)ethanol.- Dielectric constant of the mixture (1) water; (2) tri(ethylene glycol) monobutyl ather.- Dielectric constant of the mixture (1) water; (2) deca(ethylene glycol) p-isononylphenyl ether.- Dielectric constant of the mixture (1) tetrachloromethane; (2) methanol.- Dielectric constant of the mixture (1) tetrachloromethane; (2) ethanol.- Dielectric constant of the mixture (1) tetrachloromethane; (2) butan-1-ol.- Dielectric constant of the mixture (1) tetrachloromethane; (2) 2-methylpropan-2-ol.- Dielectric constant of the mixture (1) tetrachloromethane; (2) pyridine.- Dielectric constant of the mixture (1) tetrachloromethane; (2) methyl methacrylate.- Dielectric constant of the mixture (1) tetrachloromethane; (2) pentan-1-ol.- Dielectric constant of the mixture (1) tetrachloromethane; (2) aniline.- Dielectric constant of the mixture (1) tetrachloromethane; (2) 2-hexenal.- Dielectric constant of the mixture (1) tetrachloromethane; (2) ethyl methacrylate.- Dielectric constant of the mixture (1) tetrachloromethane; (2) 3-hexene-1-ol.- Dielectric constant of the mixture (1) tetrachloromethane; (2) 4-methylpentan-2-one.- Dielectric constant of the mixture (1) tetrachloromethane; (2) hexan-1-ol.- Dielectric constant of the mixture (1) tetrachloromethane; (2) 1-bromo-2-methoxybenzene.- Dielectric constant of the mixture (1) tetrachloromethane; (2) ethyl 2-methylbutanoate.- Dielectric constant of the mixture (1) tetrachloromethane; (2) heptan-1-ol.- Dielectric constant of the mixture (1) tetrachloromethane; (2) methyl anthranilate.- Dielectric constant of the mixture (1) tetrachloromethane; (2) 1,4-dimethylbenzene.- Dielectric constant of the mixture (1) tetrachloromethane; (2) N,N-dimethylaniline.- Dielectric constant of the mixture (1) tetrachloromethane; (2) butyl methacrylate.- Dielectric constant of the mixture (1) tetrachloromethane; (2) 3-methylbutyl propanoate.- Dielectric constant of the mixture (1) tetrachloromethane; (2) octan-1-ol.- Dielectric constant of the mixture (1) tetrachloromethane; (2) 2,6-dimethylheptan-4-one.- Dielectric constant of the mixture (1) tetrachloromethane; (2) anethole.- Dielectric constant of the mixture (1) tetrachloromethane; (2) ethyl decanoate.- Dielectric constant of the mixture (1) tetrachloromethane; (2) phosphoric acid tributyl ester.- Dielectric constant of the mixture (1) tetrachloromethane; (2) damascenone.- Dielectric constant of the mixture (1) tribromomethane; (2) trichloromethane.- Dielectric constant of the mixture (1) tribromomethane; (2) hexane.- Dielectric constant of the mixture (1) tribromomethane; (2) heptane.- Dielectric constant of the mixture (1) tribromomethane; (2) octane.- Dielectric constant of the mixture (1) tribromomethane; (2) 2,2,4-trimethylpentane.- Dielectric constant of the mixture (1) tribromomethane; (2) nonane.- Dielectric constant of the mixture (1) tribromomethane; (2) 1,2,3,4-tetrahydronaphthalene.- Dielectric constant of the mixture (1) tribromomethane; (2) decane.- Dielectric constant of the mixture (1) tribromomethane; (2) dodecane.- Dielectric constant of the mixture (1) tribromomethane; (2) tetradecane.- Dielectric constant of the mixture (1) tribromomethane; (2) hexadecane.- Dielectric constant of the mixture (1) chlorodifluoromethane; (2) trifluoromethane.- Dielectric constant of the mixture (1) trichloromethane; (2) cyclohexanone.- Dielectric constant of the mixture (1) dichloromethane; (2) methanol.- Dielectric constant of the mixture (1) dichloromethane; (2) ethanol.- Dielectric constant of the mixture (1) dichloromethane; (2) propan-1-ol.- Dielectric constant of the mixture (1) dichloromethane; (2) cyclohexanone.- Dielectric constant of the mixture (1) dichloromethane; (2) methoxybenzene.- Dielectric constant of the mixture (1) difluoromethane; (2) 1,1,1,2,2-pentafluoroethane.- Dielectric constant of the mixture (1) formamide; (2) N,N-dimethylformamide.- Dielectric constant of the mixture (1) formamide; (2) propan-1-ol.- Dielectric constant of the mixture (1) formamide; (2) propane-1,2-diol.- Dielectric constant of the mixture (1) formamide; (2) propane-1,2,3-triol.- Dielectric constant of the mixture (1) formamide; (2) 1,4-dioxane.- Dielectric constant of the mixture (1) formamide; (2) butan-1-ol.- Dielectric constant of the mixture (1) formamide; (2) pyridine.- Dielectric constant of the mixture (1) formamide; (2) chlorobenzene.- Dielectric constant of the mixture (1) nitromethane; (2) acetonitrile.- Dielectric constant of the mixture (1) methanol; (2) oxalic acid.- Dielectric constant of the mixture (1) methanol; (2) acetonitrile.- Dielectric constant of the mixture (1) methanol; (2) 1,2-dichloroethane.- Dielectric constant of the mixture (1) methanol; (2) ethane.- Dielectric constant of the mixture (1) methanol; (2) dimethylsulfoxide.- Dielectric constant of the mixture (1) methanol; (2) methyl acetate.- Dielectric constant of the mixture (1) methanol; (2) N,N-dimethylformamide.- Dielectric constant of the mixture (1) methanol; (2) ?-butyrolactone.- Dielectric constant of the mixture (1) methanol; (2) methyl acrylate.- Dielectric constant of the mixture (1) methanol; (2) butanenitrile.- Dielectric constant of the mixture (1) methanol; (2) tetrahydrofuran.- Dielectric constant of the mixture (1) methanol; (2) 1,4-dioxane.- Dielectric constant of the mixture (1) methanol; (2) ethyl acetate.- Dielectric constant of the mixture (1) methanol; (2) N,N-dimethylacetamide.- Dielectric constant of the mixture (1) methanol; (2) 2-methylpropan-2-ol.- Dielectric constant of the mixture (1) methanol; (2) pyridine.- Dielectric constant of the mixture (1) methanol; (2) pentanenitrile.- Dielectric constant of the mixture (1) methanol; (2) N-methylpyrrolidine-2-one.- Dielectric constant of the mixture (1) methanol; (2) pentane.- Dielectric constant of the mixture (1) methanol; (2) chlorobenzene.- Dielectric constant of the mixture (1) methanol; (2) aniline.- Dielectric constant of the mixture (1) methanol; (2) hexanenitrile.- Dielectric constant of the mixture (1) methanol; (2) cyclohexane.- Dielectric constant of the mixture (1) methanol; (2) butyl acetate.- Dielectric constant of the mixture (1) methanol; (2) benzaldehyde.- Dielectric constant of the mixture (1) methanol; (2) benzoic acid.- Dielectric constant of the mixture (1) methanol; (2) toluene.- Dielectric constant of the mixture (1) methanol; (2) heptane.- Dielectric constant of the mixture (1) methanol; (2) 4-fluorophenylacetonitrile.- Dielectric constant of the mixture (1) methanol; (2) 4-ethylphenol.- Dielectric constant of the mixture (1) methanol; (2) octanenitrile.- Dielectric constant of the mixture (1) methanol; (2) 2-ethylhexan-1-ol.- Dielectric constant of the mixture (1) methanol; (2) decanenitrile.- Dielectric constant of the mixture (1) methanol; (2) tetra(ethylene glycol) dimethyl ether.- Dielectric constant of the mixture (1) methanol; (2) undecanenitrile.- Dielectric constant of the mixture (1) methanol; (2) dodecane.- Dielectric constant of the mixture (1) tetrachloroethene; (2) methoxybenzene.- Dielectric constant of the mixture (1) 1,1,2-trichloroethene; (2) pyridine.- Dielectric constant of the mixture (1) 1,1,2-trichloroethene; (2) cyclohexanone.- Dielectric constant of the mixture (1) 1,1,2-trichloroethene; (2) methoxybenzene.- Dielectric constant of the mixture (1) 1,1,2-trichloroethene; (2) quinoline.- Dielectric constant of the mixture (1) 1,1,1,2,2-pentafluoroethane; (2) 1,1,1-trifluoroethane.- Dielectric constant of the mixture (1) 1,1,2,2-tetrachloroethane; (2) propan-2-one.- Dielectric constant of the mixture (1) 1,1,2,2-tetrachloroethane; (2) butan-2-one.- Dielectric constant of the mixture (1) 1,1,2,2-tetrachloroethane; (2) 1,4-dioxane.- Dielectric constant of the mixture (1) 1,1,2,2-tetrachloroethane; (2) methyl propanoate.- Dielectric constant of the mixture (1) 1,1,2,2-tetrachloroethane; (2) pyridine.- Dielectric constant of the mixture (1) 1,1,2,2-tetrachloroethane; (2) ethyl propanoate.- Dielectric constant of the mixture (1) 1,1,2,2-tetrachloroethane; (2) ethyl butanoate.- Dielectric constant of the mixture (1) 1,1,2,2-tetrachloroethane; (2) toluene.- Dielectric constant of the mixture (1) 1,1,2,2-tetrachloroethane; (2) methoxybenzene.- Dielectric constant of the mixture (1) oxalic acid; (2) ethanol.- Dielectric constant of the mixture (1) oxalic acid; (2) propan-1-ol.- Dielectric constant of the mixture (1) oxalic acid; (2) propan-2-ol.- Dielectric constant of the mixture (1) oxalic acid; (2) toluene.- Dielectric constant of the mixture (1) acetonitrile; (2) ethanol.- Dielectric constant of the mixture (1) acetonitrile; (2) dimethylsulfoxide.- Dielectric constant of the mixture (1) acetonitrile; (2) propan-1-ol.- Dielectric constant of the mixture (1) acetonitrile; (2) propan-2-ol.- Dielectric constant of the mixture (1) acetonitrile; (2) 2-methoxyethanol.- Dielectric constant of the mixture (1) acetonitrile; (2) propylene carbonate.- Dielectric constant of the mixture (1) acetonitrile; (2) N,N-dimethylacetamide.- Dielectric constant of the mixture (1) acetonitrile; (2) butan-1-ol.- Dielectric constant of the mixture (1) acetonitrile; (2) butan-2-ol.- Dielectric constant of the mixture (1) acetonitrile; (2) 2-methylpropan-1-ol.- Dielectric constant of the mixture (1) acetonitrile; (2) 2-methylpropan-2-ol.- Dielectric constant of the mixture (1) acetonitrile; (2) chlorobenzene.- Dielectric constant of the mixture (1) acetonitrile; (2) nitrobenzene.- Dielectric constant of the mixture (1) acetonitrile; (2) benzene.- Dielectric constant of the mixture (1) acetonitrile; (2) 3-methylpyridine.- Dielectric constant of the mixture (1) acetonitrile; (2) 4-methylpyridine.- Dielectric constant of the mixture (1) acetonitrile; (2) toluene.- Dielectric constant of the mixture (1) acetonitrile; (2) 2,6-dimethylpyridine.- Dielectric constant of the mixture (1) acetonitrile; (2) isoquinoline.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) 2-chloroethanol.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) ethanol.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) N,N-dimethylformamide.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) propan-1-ol.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) 2-methoxyethanol.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) 1,2-dimethoxyethane.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) cyclohexanone.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) methoxybenzene.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) heptane.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) 2,2,4-trimethylpentane.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) decane.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) dodecane.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) tetradecane.- Dielectric constant of the mixture (1) 1,2-dichloroethane; (2) hexadecane.- Dielectric constant of the mixture (1) acetaldehyde; (2) benzene.- Dielectric constant of the mixture (1) acetaldehyde; (2) cyclohexane.- Dielectric constant of the mixture (1) acetaldehyde; (2) 1,4-dimethylbenzene.- Dielectric constant of the mixture (1) acetaldehyde; (2) 1,3,5-trimethylbenzene.- Dielectric constant of the mixture (1) acetic acid; (2) pentane-2,4-dione.- Dielectric constant of the mixture (1) acetic acid; (2) 4-methylpentan-2-one.- Dielectric constant of the mixture (1) acetic acid; (2) 2,6-dimethylheptan-4-one.- Dielectric constant of the mixture (1) chloroethane; (2) butanenitrile.- Dielectric constant of the mixture (1) N-methylformamide; (2) ethane-1,2-diol.- Dielectric constant of the mixture (1) N-methylformamide; (2) N,N-dimethylformamide.- Dielectric constant of the mixture (1) N-methylformamide; (2) 1,4-dioxane.- Dielectric constant of the mixture (1) N-methylformamide; (2) pyridine.- Dielectric constant of the mixture (1) N-methylformamide; (2) chlorobenzene.- Dielectric constant of the mixture (1) ethanol; (2) dimethylsulfoxide.- Dielectric constant of the mixture (1) ethanol; (2) ethane-1,2-diol.- Dielectric constant of the mixture (1) ethanol; (2) methyl acetate.- Dielectric constant of the mixture (1) ethanol; (2) N,N-dimethylformamide.- Dielectric constant of the mixture (1) ethanol; (2) 2-methoxyethanol.- Dielectric constant of the mixture (1) ethanol; (2) ?-butyrolactone.- Dielectric constant of the mixture (1) ethanol; (2) tetrahydrofuran.- Dielectric constant of the mixture (1) ethanol; (2) ethyl acetate.- Dielectric constant of the mixture (1) ethanol; (2) N,N-dimethylacetamide.- Dielectric constant of the mixture (1) ethanol; (2) butan-1-ol.- Dielectric constant of the mixture (1) ethanol; (2) 2-methylpropan-2-ol.- Dielectric constant of the mixture (1) ethanol; (2) 2-ethoxyethanol.- Dielectric constant of the mixture (1) ethanol; (2) pyridine.- Dielectric constant of the mixture (1) ethanol; (2) chlorobenzene.- Dielectric constant of the mixture (1) ethanol; (2) nitrobenzene.- Dielectric constant of the mixture (1) ethanol; (2) benzene.- Dielectric constant of the mixture (1) ethanol; (2) aniline.

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Book SynopsisAn komplexe Karosserie-Blechformteile werden seitens der Automobilindustrie allerhöchste Anforderungen hinsichtlich Funktionalität und Oberflächenqualität gestellt. Um diese Anforderungen zu erfüllen, wird ein entsprechender Methodenplan entwickelt. Das geplante Werk führt zunächst in Grundlagen von Karosseriebau, Umform- und Werkstofftechnik, Werkzeugtechnik und Pressentechnik ein, soweit diese für die Herstellung von Karosserieteilen relevant sind. Auf Basis dieser Grundlagen wird im Hauptteil die Thematik der Methodenplanung behandelt, wobei der komplexe Planungsprozess zunächst auf ein sequentielles Gedankenmodell herunter gebrochen wird. Schließlich wird anhand von Praxisbeispielen aufgezeigt, wie die zuvor sequentiell behandelten Planungsschritte zum Teil gleichzeitig, zum Teil nacheinander in mehreren Iterationsschleifen in der Praxis abgearbeitet werden. Bei allen Ausführungen steht stets die Erfüllung der qualitätsmäßigen Anforderungen, die heute an moderne Karosserieteile gestellt werden, im Vordergrund.Table of ContentsEinleitung.- Karosserietechnik und Karosseriewerkstoffe.- Plastizitätstheoretische und werkstofftechnische Grundlagen.- Verfahrenstechnische Grundlagen der Karosserieteilherstellung. Werkzeugtechnik und Werkzeugherstellungsprozess.- Grundlagen der Maschinen- und Anlagentechnik.- Fertigungsplanung und Fertigungsstrategien.- Methodenplanung.- Sachwortregister.- Literaturverzeichnis.

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Book SynopsisHervorragende Fachautoren beschreiben ihre Erfahrungen zu Tragwerkstypen, Berechnungs-, Herstellungs- und Bauausführungsverfahren sowie Bauüberwachungsmethoden. Gegenüber den beiden vorangegangenen Auflagen wird im Einführungskapitel auf die neuere Entwicklung der Verwendung von Hochleistungsbeton im Brückenbau sowie auf Brücken aus Textilbeton eingegangen. Des Weiteren werden in diesem Kapitel integrale und semiintegrale Brücken behandelt, es werden Entwicklungen in der Bauweise mit verbundlosen internen Spanngliedern und die Nachrechnung von Brücken behandelt. Dazu wurden auch die sechs in den Jahren 2010 bis 2014 mit Brückenbaupreisen ausgezeichneten Brücken aufgenommen, sodass nun alle zehn von 2006 bis 2014 mit dem Brückenbaupreis ausgezeichneten Brücken im Buch enthalten sind. Die folgenden Kapitel, in denen auf das Entwerfen, Konstruieren, Berechnen, Bauen und Erhalten der Brücken eingegangen wird, wurden aktualisiert, indem die aktuellen EUROCODES berücksichtigt sind. Das Kapitel 12, Überwachung ,Prüfung, Bewertung und Beurteilung von Brücken, wird um den Abschnitt 12.7, Kontinuierliche, rechnergestützte, Dauerüberwachung (Monitoring) erweitert, indem an einem Beispiel, der Gärtnerplatzbrücke in Kassel, die Dauerüberwachung mit Hilfe von Schwingungstestdaten demonstriert wird. Nicht nur für Bauingenieure und Studierende des Bauingenieurwesens, sondern auch für alle, die am Brückenbau und seiner Entwicklung interessiert sind, ist dieses Buch ein unverzichtbarer Begleiter.Table of ContentsVorwort.- Brückenbau auf dem Weg vom Altertum zum modernen Brückenbau.- Ingenieuraufgaben im Brückenbau.- Entwurf.- Querschnittsgestaltung.- Haupttragwerke der Überbauten.- Lagerung.- Unterbauten.- Berechnung.- Herstellung und Ausführungsmethoden.- Brückenausrüstung.- Überwachung, Prüfung, Bewertung und Beurteilung von Brücken.- Brückeninstandsetzung und Sanierung.- Brückenverstärkung.- Literaturverzeichnis.- Brückenverzeichnis.- Personen- und Firmenverzeichnis.- Sachverzeichnis.

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Book SynopsisDieses Buch leistet übergeordnet einen besonderen Beitrag zur dauerhaften innovativen Weiterentwicklung und Kompetenzerhaltung. Es enthält Hinweise zur Beurteilung der Sinnhaftigkeit von Computerprogrammen und Entscheidungen, die allein auf die Vergleichsgröße Geld mit dem damit zwangsweise verknüpften technischen Informationsverlust reduziert sind, um den industriellen Prozesses zum Wohl aller Menschen unbeirrt erfolgreich fortsetzen zu können. Gesichertes Wissen kann nur aus der Natur abgeleitetes Wissen sein. Die Denk- und Arbeitsweisen der Ingenieure und Physiker als treibende Hauptakteure müssen naturwissenschaftlich geprägt sein. Der heute zu beobachtenden geradezu explosionsartigen Vermehrung an Faktenwissen steht eine ebenso schnelle Entwertung des technischen Details gegenüber, die man mit dem Einsatz von Computerprogrammen zu beherrschen glaubt. Um unter diesen Bedingungen wirklich Herr der Dinge bleiben zu können, sind grundlegende, allein durch die Naturgesetze und die Mathematik legitimierte, Denk- und Arbeitsmethoden zu nutzen und weiterzuentwickeln, die in der Zeit des Faktenwissens und Computergebrauchs sonst verloren gehen. Das naturwissenschaftlich/mathematische Werkzeug hierzu ist die ¶-Theorem Methodik, die universell auf alle technologischen Probleme (Mechanik, Elektrotechnik, Biologie, Populationen, …) angewendet werden kann. Da jedes spezielle technologische Problem ein ganz extremer Sonderfall ist, kann stets durch Verschärfen und Ausschöpfen mit a priori bekannten problemspezifischen Details und Nutzung von Reihenentwicklungen immer eine extrem einfache natur-wissenschaftlich gesicherte Lösung gefunden werden, die zugleich auch ökonomisch hinsichtlich Zeit- und Kostenaufwand optimal ist. Der InhaltEinführung - ¶-Theorem - Elementare Anwendungen - Effizienz der ¶-Theorem Methodik - Modell und Original - Monetär-technologisches Wechselspiel - Allometrie - Naturkonstanten - Praktische Handhabung und Kunst der Modellwahl - Übungsaufgaben und LösungenTable of ContentsEinführung.- Π-Theorem.- Elementare Anwendungen.- Effizienz der Π-Theorem Methodik.- Modell und Original.- Monetär-technologisches Wechselspiel.- Allometrie.- Naturkonstanten.- Praktische Handhabung und Kunst der Modellwahl.- Übungsaufgaben und Lösungen.

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Book Synopsis

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Book Synopsis

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Book SynopsisThis key text is a major reference work – a totally authoritative handbook on a major current topic. It consolidates state-of-the-art information from the large number of disciplines used in Experimental Fluid Mechanics into a readable desk reference book. It comprises four parts: Experiments in Fluid Mechanics, Measurement of Primary Quantities, Specific Experimental Approaches, and Analyses and Post-Processing of Data. The book has been prepared for physicists and engineers in research and development in universities, in industry and in other research institutions. Both experimental methodology and techniques are covered fundamentally and for a wide range of application fields. A generous use of citations directs the reader to additional material on each subject.Trade ReviewFrom the reviews: "Handbooks are reference works for daily use by two main groups of people: on the one hand by experienced scientists, and by engineers or physicists … . And, on the other hand, by students … . due to the breadth and depth, this book serves both groups excellently. … In summary, the community of fluid mechanics today has in their hands a highly valuable and important new book, which is a major reference in our science and will soon become a standard reference." (Günter Brenn, International Journal of Heat and Mass Transfer, Vol. 51, 2008) "The stated purpose of this 1500 page handbook is to provide comprehensive information to the experimental fluid mechanics community for planning, executing, and interpreting experiments. … A DVD-ROM PDF version of the handbook accompanies the hardback book. … The book is excellent for a user who wants to obtain some information on a given topic without reading and digesting many papers. … production quality is excellent too. … The high-quality drawings, photos, and figures are clearly labeled and captioned." (Roger L. Simpson, American Institute of Aeronautics and Astronautics Journal, Vol. 46 (10), 2008)Table of ContentsIntroductionThe expression: "analytical work", often connotes an effort in which basic expressions are combined to analyze a given problem and to derive new information and insight from the resulting mathematical steps of the analysis. Specifically, having started with the appropriate relationships and bringing appropriate mathematical manipulations to the task, the analyst is able to create new information to address the motivating question(s).A central organizing theme of this handbook is that ‘experimental fluid mechanics" can be understood as a parallel activity to that described above. The motivating questions will set the context for the experiment. The experiment will be established as a boundary value problem in which the experimentalist will address all aspects of the boundary conditions that will influence the "solution." If a transient or an evolving solution is sought, the appropriate initial conditions will similarly be addressed.Having established these conditions, the solution to the boundary value problem will be revealed in the experimental data that will – ideally – not be contaminated by unintended or unknown perturbing effects and that will be fully converged if statistical average values are sought. Part A Experiments in Fluid Mechanics The objective of Part A is to establish the fundamental concepts and equations that undergird experimental fluid mechanics. The first chapter: addresses both the governing equations and the constitutive equations for Newtonian and non-Newtonian fluids. Chapter 2 provides the systematic bases for model testing and the scaling of experimental results. Sections 2.1 through 2.7 derive similitude parameters (Reynolds number, Froude number, etc.) from the governing equations and the boundary conditions. Dimensional analysis (Sect. 2.2) provides a rational approach for the organization and interpretation of experimental data; Sect. 2.3, self-similarity, documents known flow fields that exhibit this condition and it provides guidance on what other flows may exhibit this behavior. The encyclopedic presentation of examples will allow the reader to comprehend the universal features of both complete and incomplete self-similarity. Chap. 1 The Experiment as a Boundary-Value ProblemChap. 2 Nondimensional Representation of the Boundary-Value ProblemPart B Measurement of Primary QuantitiesThe objective of Part B is to provide specific information to the reader on the following primary quantities: material properties (Chap. 3), flow field properties (Chap. 4 – pressure, Chap. 5 – velocity, vorticity, Mach number, Chap. 6 – spatial density variations and Chap. 7 – temperature and heat flux) and forces and moments (Chap. 8). Chapter 3 is focused on providing quantitative information for the material properties, the sources of this information and the associated confidence levels for the given data. Chapters 4 through 8 provide comprehensive guidance to the reader on: i) the objectives, ii) the available equipment, iii) the utilization techniques, and iv) the post-processing of the primitive information for the stated quantities. Chap. 3 Material Properties: Measurement and DataChap. 4 Pressure Measurement SystemsChap. 5 Velocity, Vorticity and Mach NumberChap. 6 Spatial Density VariationsChap. 7 Temperature, Concentration and Heat FluxChap. 8 Forces and Moments Part C Specific Experimental ApproachesBuilding on the previous two parts of this Springer Handbook, which have dealt with the fundamental concepts and equations that undergrid experimental fluid mechanics and the measurement of primary quantities, respectively, Part C addresses experimental fluid mechanics from an application point of view. According to application, often unique and specific forms of equipment, experimental procedure, or analysis and interpretation of results have been developed. It is the purpose of Part C to elucidate a selection of such application areas, in particular measurements of non-Newtonian flows, turbulence, flow visualization, wall-bounded flows, surface topology, turbomachines, hydraulics, aerodynamics, atmospheric and oceanographic measurements, combustion diagnostics and electrohydrodynamic systems.Chap. 9 Non-Newtonian FlowsChap. 10 Measurement of Turbulent FlowsChap. 11 Flow VisualizationChap. 12 Wall-Bounded FlowsChap. 13 Surface TopologyChap. 14 TurbomachinesChap. 15 HydraulicsChap. 16 AerodynamicsChap. 17 Atmospheric MeasurementsChap. 18 Oceanographic MeasurementsChap. 19 The No-Slip Boundary ConditionChap. 20 Combustion DiagnosticsChap. 21 Electrohydrodynamic SystemsPart D Analyses and Post-Processing of Data This final part of the Springer Handbook is actually meant to be a reference source about single and data processing techniques commonly encountered in fluid mechanics. These topics have been complemented by a section discussing data acquisition by imaging detectors, a topic becoming increasingly important for optical measurement techniques. These are all subjects, which in their development are not naturally associated with fluid mechanics; hence Part D attempts to collect information from many diverse sources and present them conveniently to the fluid mechanic researcher. Topics covered in this part include fundamental topics of signal and data processing transforms (Fourier, Hilbert, wavelet), proper orthogonal decomposition and stochastic estimation. This is followed by a discussion of estimator expectation and variance and the influence of noise on these quantities. The Cramèr-Rao Lower Bound (CRLB) is introduced and developed for several common signal processing examples from fluid mechanics. Imaging detectors and measures of their performance are then discussed in detail before closing with a chapter on image processing and motion analysis, two topics especially relevant for the Particle Image Velocity (PIV) measurement technique. Chap. 22 Review of Some FundamentalsChap. 23 Fundamentals of Data ProcessingChap. 24 Data AcquisitionChap. 25 Data Analyses About the Authors Subject Index

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Book SynopsisDieses Übungsbuch enthält zahlreiche Aufgaben zum Inhalt einer Einführungsvorlesung Physik. Mithilfe von ausführlichen Lösungen und Erklärungen lernen und üben Studierende die Anwendung physikalischer Rechenmethoden und die hierfür erforderliche Mathematik. Vor allem in Kombination mit dem Lehrbuch Physik für Studierende der Biowissenschaften, Chemie und Medizin bildet es eine ideale Basis für die Klausurvorbereitung und weiterführende Vorlesungen.Der erste Teil des Buches bietet Übungsserien mit Aufgaben, die entsprechend dem Inhalt typischer Physikvorlesungen strukturiert sind und dabei Themen von der klassischen Mechanik bis hin zur Atom- und Quantenphysik abdecken. Jede Übungsserie besteht aus einem Verständnisteil und einem Übungsteil, der durch anwendungsorientierte Aufgaben aus Biowissenschaften, Chemie und Medizin ergänzt wird.Das Gelernte kann dann anhand des zweiten Teils überprüft werden, der aus verschiedenen Testserien besteht: Hier sind gemischte Aufgaben aus den jeweiligen Inhalten der zwei Semester enthalten, wie sie auch in Physikklausuren zu finden sind.Table of ContentsMathematische Grundlagen.- Klassische Mechanik.- Zustandsformen der Materie.- Thermodynamik.- Schwingungen.- Wellen.- Optik.- Klassische Elektrodynamik.- Atom- und Quantenphysik.- Testserien Physik I.- Testserien Physik II.

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Book SynopsisDas vorliegende Lehrbuch gibt eine Einführung in die Theoretische Mechanik und richtet sich an Studierende der Physik, die diese Vorlesung besuchen. Als Erstes werden die grundlegenden Konzepte wie Massenpunkt, Bahnkurve und Bezugssystem sowie die Newtonschen Axiome eingeführt. Im Fokus stehen der Lagrangeformalismus, Erhaltungsgrößen, das Hamiltonprinzip, das Noethertheorem und die wichtigsten Anwendungen (Bewegung im Zentralpotenzial, Dynamik des starren Körpers, harmonische Schwingungen). Der Hamiltonformalismus wird später für die Quantenmechanik benötigt. Das umfangreiche Gebiet der Kontinuumsmechanik wird anhand einiger exemplarischer Anwendungen (Saitenschwingung, Balkenbiegung, Schallwellen) vorgestellt. Die letzten 70 Seiten des Buchs sind der Speziellen Relativitätstheorie gewidmet. Die Stärken dieses Buches liegen in seiner prägnanten und kompakten Darstellung des Vorlesungsstoffes, die immer verständlich ist. Die Neuauflage wird durch eine klare und ausführliche Besprechung der richtigen Relation zwischen der Newtonschen Kraft und der Minkowskikraft bereichert. Der Autor gibt die formale Ableitung der korrekten Relation wieder und diskutiert die praktische und logische Relevanz der unterschiedlichen Angaben in der Literatur. Table of ContentsEinleitung.- I Elementare Newtonsche Mechanik.- 1 Bahnkurve.- 2 Newtons Axiome.- 3 Erhaltungssätze.- 4 System von Massenpunkten.- 5 Inertialsysteme.- 6 Beschleunigte Bezugssysteme.- II Lagrangeformalismus.- 7 Lagrangegleichungen 1. Art.- 8 Anwendungen I.- 9 Lagrangegleichungen 2. Art.- 10 Anwendungen II.- 11 Raum-Zeit-Symmetrien.- III Variationsprinzipien.- 12 Variation ohne Nebenbedingung.- 13 Variation mit Nebenbedingung.- 14 Hamiltonsches Prinzip.- 15 Noethertheorem.- IV Zentralpotenzial.- 16 Zweikörperproblem.- 17 Keplerproblem.- 18 Streuung.- V Starrer Körper.- 19 Kinematik.- 20 Trägheitstensor.- 21 Tensoren.- 22 Eulersche Gleichungen.- 23 Schwerer Kreisel.- VI Kleine Schwingungen.- 24 Erzwungene Schwingungen.- 25 System mit vielen Freiheitsgraden.- 26 Anwendungen.- VII Hamiltonformalismus.- 27 Kanonische Gleichungen.- 28 Kanonische Transformationen.- 29 Hamilton-Jacobi-Gleichung.- VIII Kontinuumsmechanik.- 30 Saitenschwingung.- 31 Balkenbiegung.- 32 Hydrodynamik.- 33 Feldtheorien.- IX Relativistische Mechanik.- 34 Relativitätsprinzip.- 35 Längen- und Zeitmessung.- 36 Lorentzgruppe.- 37 Lorentztensoren.- 38 Bewegungsgleichung.- 39 Anwendungen.- 40 Lagrangefunktion.- A Newtonsche Kraft und Minkowskikraft.- Register.

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Book SynopsisDieses Lehrbuch bietet Studierenden der ersten Semester eine Einführung in die Theoretische Physik sowie die dazu erforderlichen mathematischen Werkzeuge. Parallel zu den Inhalten der Klassischen Mechanik lernen Sie die nötige Mathematik gleich mit – und auch die Denkweise in der Theoretischen Physik kennen. Unter sorgfältiger Berücksichtigung des Wissensstands von Studienanfängern wird eine ausführliche, schrittweise Darstellung von allen Herleitungen und Beispielen geboten. Dabei werden Ihnen nicht nur die analytischen Lösungsverfahren gezeigt, sondern Sie erhalten auch einen Einblick in die große Bedeutung von computergestützten, numerischen Verfahren. Das Buch beginnt mit den Leitbegriffen des Zustands und der Bewegungsgleichung, worauf aufbauend die Struktur der Newton‘schen Mechanik in leicht nachvollziehbarer Art und Weise vermittelt wird. Als dazugehörige mathematische Themen werden komplexe Zahlen, Vektoren und Matrizen, Taylor-Reihen, gewöhnliche Differenzialgleichungen, Fourier-Reihen, partielle Ableitungen und Elemente der Vektoranalysis behandelt. Ebenso finden Sie in diesem Buch eine Untersuchung elementarer Erhaltungssätze als auch deren Anwendung auf physikalische Fragestellungen wie z.B. die Begründung der Kepler‘schen Gesetze.Table of ContentsVorwort.- 1 Grundkonzepte.- 2 Beschreibung der Bewegung von Massenpunkten.- 3 Dynamische Gesetze für einen Massenpunkt.- 4 Gewöhnliche Differenzialgleichungen.- 5 Fourier-Reihen.- 6 Nichtlineare Dynamik.- 7 Systeme mit mehr als einem Teilchen.- 8 Partielle Ableitungen.- 9 Energie.- 10 Zweiteilchenproblem mit Gravitationskraft.- 11 Drehbewegungen.- 12 Spezielle Relativitätstheorie - 13 Anhänge: A Computerprogramm zu Kap. 1.- B Computerprogramm zu Kap. 6.- Index.

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Book SynopsisThis book compactly provides the fundamentals of experimental physics for students of the natural sciences who are taking physics as a minor or major subject. Interspersed throughout the main text are numerous exercises with pre-calculated solutions, and the most important formulas are listed again at the end of each chapter. This book enables readers to gain an overview of the individual areas and is thus ideally suited to accompany lectures during studies as well as for exam preparation.The textbook originated from a lecture on "Experimental Physics for Natural Scientists" at the University of Tübingen and is intended for all students in subjects such as biochemistry, bioinformatics, biology, chemistry, computer science, mathematics, pharmacy, geoecology, and earth sciences.The first part of the book deals with Newtonian mechanics including continuum mechanics and oscillations and waves. The second part deals with the basic concepts of thermodynamics with emphasis on the statistical explanations. The third part covers electromagnetic phenomena, especially electrostatics and magnetostatics, electrodynamics, and an introduction to electronic components and circuits. Optics with its subfields, ray optics, wave optics, and quantum optics, is presented in the fourth part. In the fifth and last part of the book, the reader is given an overview of the basic principles of quantum mechanics, including atomic and nuclear physics. For this second edition, the content has been improved and supplemented in many places, including a new section on heat transport and phase transitions, as well as an outlook into alternative interpretations of quantum mechanics. Table of ContentsPhysical quantities and measurements.- Mechanics of rigid bodies.- Continuum mechanics.- Oscillations and waves.- Thermodynamics.- Electrostatics.- Magnetostatics.- Electrodynamics.- Electronics.- Optics.- Fundamentals of quantum physics.

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Book SynopsisVorwort.- 1 Physikalische Größen als C++-Datentypen.- 2 Kinetische Energie und Arbeitssatz.- 3 Geradlinige Bewegungen.- 4 Geradlinige Bewegung mit konstanter Beschleunigung.- 5 Die Beschreibung der geradlinigen Bewegung mithilfe von Datenreihen.- 6 Numerische Lösung von Bewegungsgleichungen.- 7 Der Freie Fall.- 8 Allgemeine geradlinige Bewegung.- 9 Schiefer Wurf.- 10 Vektoren in der Ebene.- 11 Kraft.- 12 Kräftediagramme.- 13 Gleichgewicht von Punktmassen.- 14 Flussüberquerung.- 15 Horizontale und vertikale Bewegung mit Reibung.- 16 Massen in Kontakt.- 17 Massen verbunden mit Seilen.- 18 Schiefe Ebenen.- 19 Impuls und Kraftstoß.- 20 Rotation.- 21 Kreisbewegung.- Literatur.- Index.

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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 Synopsis

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