The Classical Thermodynamics of Deformable Materials

A. G. McLellan (Autor)

Buch | Softcover

358 Seiten

2011
Cambridge University Press (Verlag)
978-0-521-18012-2 (ISBN)

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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.

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; References; Index.

Reihe/Serie	Cambridge Monographs on Physics
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	530 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
Themenwelt	Technik ► Maschinenbau
ISBN-10	0-521-18012-0 / 0521180120
ISBN-13	978-0-521-18012-2 / 9780521180122
Zustand	Neuware