ABSTRACT

From our physical experience with materials such as steel, aluminum, and rubber, we expect the internal energy and the entropy of a particle to depend on temperature. We expect the heat flux to depend on temperature gradient. We expect the stress to depend upon the strain, which is determined by the deformation gradient. In the absence of a general principle that prohibits it, we will initially allow the possibility that each of those quantities may depend on all those variables. However, we will find that such general relations are not possible because they are restricted by the requirement of objectivity and dissipation.