Abstract
The present paper constructs a new theory of two-temperature generalized thermoelasticity based on thermomass motion consideration. The governing equations of the theory are formulated for heterogeneous, anisotropic, and homogenous materials. Moreover, the uniqueness theorem of the equations of the new theory is proved. The theory based on the motion of thermomass predicts the propagation of thermoelastic waves in the micro-scale heat conduction with finite speed. The two-temperature parameter has significant effects on the conductive temperature increment, dynamical temperature increment, strain, displacement, and stress distributions. The two-temperature generalized thermoelasticity with thermomass motion theory introduces a successful thermoelastic model.