Thermodynamics of nonsimple elastic materials
Abstract
Elastic materials whose local state depends upon the first and second order gradients of the deformation, the temperature, its gradient and the time rate of change of the temperature are studied according to an inequality proposed by Green and Laws. It is shown that in such materials either thermal disturbances can propagate with finite speed in the linear theory, and the constitutive quantities do not depend upon the second order gradients of the deformation, or the constitutive quantities may depend upon the second order gradients of the deformation and in the linear theory thermal disturbances do not propagate with finite speed. In the latter case the entropy inequality reduces to the ClausiusDuhem inequality.
 Publication:

Journal of Elasticity
 Pub Date:
 October 1976
 Bibcode:
 1976JElas...6..451B
 Keywords:

 Elastic Bodies;
 Elastodynamics;
 Thermodynamics;
 Thermoelasticity;
 Cartesian Coordinates;
 Entropy;
 Equilibrium Equations;
 Gibbs Equations;
 Inequalities;
 Temperature Gradients;
 Tensors;
 Thermodynamics and Statistical Physics