The Classical Thermodynamics of Deformable Materials

Erscheinungsjahr 2010
ISBN: 978-0-521-18012-2
Verlag: Cambridge University Press

Buch, Englisch, 358 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 581 g

Reihe: Cambridge Monographs on Physics

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.

Autoren/Hrsg.

McLellan, A. G.

Fachgebiete

• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Festigkeitslehre, Belastbarkeit
• Naturwissenschaften Physik Thermodynamik Physik der Zustandsübergänge
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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-ß 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.