A generalized theory of simple thermomechanical materials

Abstract

Abstract We develop here a constitutive theory for the generalized simple thermomechanical materials by resorting to generalized thermodynamics in which the empirical temperature is replaced by the thermodynamic temperature which is itself a constitutive function. The restrictions imposed by the generalized Clausius-Duhem inequality on the constitutive relations are fully explored and the theory is applied to a special thermoviscoelastic material.