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Statistical mechanics of elasticity /
Advanced, self-contained treatment illustrates general principles and elastic behavior of solids. Part 1, based on classical mechanics, studies thermoelastic behavior of crystalline and polymeric solids. Part 2, based on quantum mechanics, focuses on interatomic force laws, behavior of solids, and t...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Mineola, N.Y. :
Dover Publications,
[2002]
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| Edición: | Second edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title Page; Copyright Page; Dedication; Preface; Contents; Part One: Classical Theory; Chapter One. Thermoelasticity from the Continuum Viewpoint; 1.1 Introduction; 1.2 Kinematics of Continua; 1.3 Mechanics; 1.4 Thermodynamics; 1.5 Various Thermodynamic Potentials; 1.6 Thermoelastic Stress-Strain Relations; 1.7 Thermoelastic Relations for Small Changes from Reference State; 1.8 Related Thermodynamic Functions; 1.9 Elastic Constants in Terms of Displacement Gradients; 1.10 Isotropie Solids; Appendix : Notation of Thurston (1964); Chapter Two. Concepts of Classical Statistical Mechanics.
- 2.1 Introduction2.2 Hamiltonian Mechanics; 2.3 Use of Statistics in Statistical Mechanics; 2.4 Phase Functions and Time Averages; 2.5 Phase Space Dynamics of Isolated Systems; 2.6 Systems in Weak Interaction; 2.7 Canonical Distribution; 2.8 Time Averages versus Ensemble Averages; Chapter Three. Corresponding Concepts in Thermodynamics and Statistical Mechanics; 3.1 Introduction; 3.2 Empirical Temperature; 3.3 Quasi-Static Process; 3.4 Phase Functions for Generalized Forces; 3.5 First Law of Thermodynamics; 3.6 Second Law of Thermodynamics.
- 3.7 Use of Mechanical Variables as Controllable Parameters3.8 Fluctuations; 3.9 Partition Function Relations; 3.10 Continuum Formulations of Nonuniform Processes; 3.11 Equipartition Theorem; 3.12 Entropy from the Information Theory Viewpoint; Chapter Four. Crystal Elasticity; 4.1 Introduction; 4.2 Bravais Lattices; 4.3 The Atomistic Concept of Stress in a Perfect Crystal; 4.4 Harmonic and Quasi-Harmonic Approximations; 4.5 Thermoelastic Stress-Strain Relations Based on the Harmonic Approximation; 4.6 Cauchy Relations; 4.7 Stress Ensemble; 4.8 Linear Chain with Nearest Neighbor Interactions.
- 4.9 Lattice Dynamics and Crystal ElasticityChapter Five. Rubber Elasticity, I; 5.1 Introduction; 5.2 Relative Roles of Internal Energy and Entropy; 5.3 Atomic Structure of Long-Chain Molecules and Networks; 5.4 One-Dimensional Polymer Model; 5.5 Three-Dimensional Polymer Models; 5.6 Network Theory of Rubber Elasticity; Chapter Six. Rubber Elasticity, II; 6.1 Introduction; 6.2 Curvilinear Coordinates; 6.3 Geometric Constraints; 6.4 An Example; 6.5 Curvilinear Coordinates for Stressed Polymer Chains; 6.6 Rigid and Flexible Polymer Models; 6.7 Use of S = k log p for Stretched Polymers.
- 6.8 Strain Ensemble for Short Freely Jointed Chains6.9 Stress Ensemble for Chain Molecules; 6.10 Statistical Mechanics of Phantom Networks; Addendum Atomic View of Stress in Polymer Systems; Chapter Seven. Rate Theory in Solids; 7.1 Introduction; 7.2 Impurity Atom Diffusion; 7.3 A Simple One-Dimensional Rate Theory; 7.4 Exact Normalization; 7.5 Many Degrees of Freedom; 7.6 Transition-State Assumption; 7.7 Brownian Motion; 7.8 Kramers Rate Formula; Part Two. Quantum Theory; Chapter Eight. Basic Concepts of Quantum Mechanics; 8.1 Introduction; 8.2 Structure of Classical Mechanics.