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The Mathematical Foundations of Finite Strain Theory / Part I：

Introduction / 1：

Mathematical description of homogeneous deformations / 2：

Infinitesimal deformation / 3：

Transformations describing deformations of a material medium / 4：

Forces / 5：

Boundary conditions and work / 6：

Another unique factorisation of D / 7：

Virtual work / 8：

Transformation of cartesian tensors / 9：

Non-Hydrostatic Thermodynamics / Part II：

The thermodynamic basis / 10：

Thermodynamic relations / 11：

Thermodynamic functions, equations of state / 12：

Thermodynamic quantities, definitions, and geometrical situation / 13：

Thermal expansion coefficients / 14：

Specific heats / 15：

Elastic stiffness and compliances / 16：

Tensorial forms for the elastic stiffness and compliance matrices / 17：

The effects of symmetry on the thermodynamic properties of crystals / 18：

Equilibrium and stability conditions for thermodynamic systems / 19：

Equilibrium conditions for diffusion in phases under non-hydrostatic stresses / 20：

The equilibrium of a stressed solid in contact with a solution of the solid / 21：

The thermodynamic stability of a phase / 22：

Discussion of the elastic stability conditions / 23：

Phase transitions and instability / 24：

An example of a phase transition involving a simple shear / 25：

Limiting the values of thermodynamic quantities at an instability / 26：

The a-β quartz transition / 27：

The thermodynamic theory of the growth of Dauphiné twinning in quartz under stress / 28：

The tetragonal/cubic ferroelectric transition of barium titanate / 29：

References

Index

The Mathematical Foundations of Finite Strain Theory / Part I：

Introduction / 1：

Mathematical description of homogeneous deformations / 2：