The elements of the thermodynamics of perfectly elastic solids are presented. Introducing an equation of state, the various thermo-dynamic state variables are calculated. In particular, the "stress-strain relation" for finite deformation is derived without appealing to the elastic potential - a quantity which has no meaning thermodynamically and, in general, does not exist.nThe elements of the thermodynamics of perfectly elastic solids are presented. Introducing an equation of state, the various thermo¬dynamic state variables are calculated. In particular, the "stress-strain relation" for finite deformation is derived without appealing to the elastic potential - a quantity which has no meaning thermodynamically and, in general, does not exist. The general theory is also specialized to the discussion of the thermodynamics of homogeneous isotropic elastic solids and the thermodynamics of incompressible elastic solids. As an application, a general mathematical theory of non-linear thermal elasticity is formulated. Other applications are given elsewhere [l]. The thermodynamics of a class of viscoelastie material is also discussed as an immediate general¬ization of the theory.
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