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Look Inside The Classical Thermodynamics of Deformable Materials

The Classical Thermodynamics of Deformable Materials


Part of Cambridge Monographs on Physics

  • Date Published: February 2011
  • availability: Available
  • format: Paperback
  • isbn: 9780521180122

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About the Authors
  • This 1980 monograph develops from first principles the description of finite deformations of solids under stress and the forces acting, and also the expression of internal forces in terms of stress tensors. The important feature of the book is that elastic properties are discussed and developed consistently from classical thermodynamics. In other books, this point of view is acknowledged only by assuming the existence of an elastic energy function, thus restricting their range mainly to the problem of the spatial distribution of stresses and strains. Topics discussed as applications of the theory include thermal expansion, specific heats, stiffness and complicances, the effects of symmetry on thermodynamic properties, diffusion in a stressed solid, equilibrium in contact with a solution of the solid, phase stability, solid state phase transitions and twinning.

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    Product details

    • Date Published: February 2011
    • format: Paperback
    • isbn: 9780521180122
    • length: 358 pages
    • dimensions: 229 x 152 x 20 mm
    • weight: 0.53kg
    • availability: Available
  • Table of Contents

    Part I. The Mathematical Foundations of Finite Strain Theory:
    1. Introduction
    2. Mathematical description of homogeneous deformations
    3. Infinitesimal deformation
    4. Transformations describing deformations of a material medium
    5. Forces
    6. Boundary conditions and work
    7. Another unique factorisation of D
    8. Virtual work
    9. Transformation of cartesian tensors
    Part II. Non-Hydrostatic Thermodynamics:
    10. The thermodynamic basis
    11. Thermodynamic relations
    12. Thermodynamic functions, equations of state
    13. Thermodynamic quantities, definitions, and geometrical situation
    14. Thermal expansion coefficients
    15. Specific heats
    16. Elastic stiffness and compliances
    17. Tensorial forms for the elastic stiffness and compliance matrices
    18. The effects of symmetry on the thermodynamic properties of crystals
    19. Equilibrium and stability conditions for thermodynamic systems
    20. Equilibrium conditions for diffusion in phases under non-hydrostatic stresses
    21. The equilibrium of a stressed solid in contact with a solution of the solid
    22. The thermodynamic stability of a phase
    23. Discussion of the elastic stability conditions
    24. Phase transitions and instability
    25. An example of a phase transition involving a simple shear
    26. Limiting the values of thermodynamic quantities at an instability
    27. The a-β quartz transition
    28. The thermodynamic theory of the growth of Dauphiné twinning in quartz under stress
    29. The tetragonal/cubic ferroelectric transition of barium titanate

  • Author

    A. G. McLellan

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