A generalized theory of thermoelasticity based on thermomass and its uniqueness theorem

Abstract

In this paper, a new theory of generalized thermoelasticity has been proposed by taking into account the general heat conduction law, which depends on the motion of the thermomass defined as the equivalent mass of phonon gas in dielectrics according to Einstein’s mass–energy relation and involves the inertia effect on the time and space of the heat flux and temperature. The formulations are derived and given for anisotropic heterogeneous and isotropic homogenous materials. The uniqueness theorem of equations for the isotropic homogenous materials is proved. By comparison with the other theories of generalized thermoelasticity, the theory based on the motion of thermomass is more reasonable to predict the propagation of thermal and elastic waves in the microscale heat conduction conditions.