Research Catalog

Statistical mechanics of elasticity

Title
Statistical mechanics of elasticity / J.H. Weiner.
Author
Weiner, Jerome Harris, 1923-
Publication
New York : Wiley, ©1983.

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StatusFormatAccessCall NumberItem Location
Book/TextUse in library QC191 .W39 1983Off-site

Details

Description
xii, 439 pages; 25 cm
Subject
  • Elasticity
  • Statistical mechanics
  • elasticity
  • modulus of elasticity
  • Elasticity
  • Statistical mechanics
  • Elastizität
  • Elastizitätstheorie
  • Festkörper
  • Statistische Mechanik
  • Élasticité
  • Mécanique statistique
Note
  • "A Wiley-Interscience publication."
  • Includes index.
Bibliography (note)
  • Bibliography: p. 421-429.
Contents
  • Classical Theory -- Thermoelasticity from the Continuum Viewpoint -- Kinematics of Continua -- Mechanics -- Thermodynamics -- Various Thermodynamic Potentials -- Thermoelastic Stress-Strain Relations -- Thermoelastic Relations for Small Changes from Reference State -- Related Thermodynamic Functions -- Elastic Constants in Terms of Displacement Gradients -- Isotropic Solids -- Notation of Thurston (1964) -- Concepts of Classical Statistical Mechanics -- Hamiltonian Mechanics -- Use of Statistics in Statistical Mechanics -- Phase Functions and Time Averages -- Phase Space Dynamics of Isolated Systems -- Systems in Weak Interaction -- Canonical Distribution -- Time Averages versus Ensemble Averages -- Corresponding Concepts in Thermodynamics and Statistical Mechanics -- Empirical Temperature -- Quasi-Static Process -- Phase Functions for Generalized Forces -- First Law of Thermodynamics -- Second Law of Thermodynamics -- Use of Mechanical Variables as Controllable Parameters -- Fluctuations -- Partition Function Relations -- Continuum Formulations of Nonuniform Processes -- Equipartition Theorem -- Entropy from the Information Theory Viewpoint -- Crystal Elasticity -- Bravais Lattices -- The Atomistic Concept of Stress in a Perfect Crystal -- Harmonic and Quasi-Harmonic Approximations -- Thermoelastic Stress-Strain Relations Based on the Harmonic Approximation -- Cauchy Relations -- Stress Ensemble -- Linear Chain with Nearest Neighbor Interactions -- Lattice Dynamics and Crystal Elasticity -- Rubber Elasticity, I.
  • Relative Roles of Internal Energy and Entropy -- Atomic Structure of Long-Chain Molecules and Networks -- One-Dimensional Polymer Model -- Three-Dimensional Polymer Models -- Network Theory of Rubber Elasticity -- Rubber Elasticity, II -- Curvilinear Coordinates -- Geometric Constraints -- Curvilinear Coordinates for Stressed Polymer Chains -- Rigid and Flexible Polymer Models -- Use of S = k log p for Stretched Polymers -- Strain Ensemble for Short Freely Jointed Chains -- Stress Ensemble for Chain Molecules -- Statistical Mechanics of Phantom Networks -- Addendum: Atomic View of Stress in Polymer Systems -- Rate Theory in Solids -- Impurity Atom Diffusion -- A Simple One-Dimensional Rate Theory -- Exact Normalization -- Many Degrees of Freedom -- Transition-State Assumption -- Brownian Motion -- Kramers Rate Formula -- Quantum Theory -- Basic Concepts of Quantum Mechanics -- Structure of Classical Mechanics -- Structure of Quantum Mechanics -- Consequences of the Fourier Transform Relation between [psi subscript x](x) and [psi subscript p](p) -- Extension to Three-Dimensional Motion and to N Particles -- Hydrodynamic Analogy to Quantum Mechanics -- Initial-Value Problems -- Aspects of the Measurement Process -- Some Examples of Stationary States -- Tensor Product of Two Spaces -- Electron Spin -- Identical Particles and the Pauli Principle -- Interatomic Interactions -- Hydrogen Molecule -- Adiabatic Approximation -- Hellmann-Feynman Theorem -- Harmonic Elastic Moduli Based on Hellmann-Feynman Theorem.
  • Categories of Interatomic Force Laws -- Quantum Statistical Effects -- Quantum Statistical Mechanics -- Quantum Statistical Effects in Crystals -- Quantum Statistics for Polymer Models -- Gaussian Wave Packet Dynamics -- Canonical Ensemble in Terms of Coherent States -- Quantum Effects on Rate Processes.
ISBN
  • 047109773X
  • 9780471097730
LCCN
82020056
OCLC
  • ocm08845964
  • 8845964
  • SCSB-9213876
Owning Institutions
Princeton University Library