Abstract: As a basic theoretical research, this article started from the thermoelasticity wave equations and extracted the analytical solutions of thermoelasticity wave propagating in stratified medium. We give the reflected wave and transmission wave of thermoelasticity wave affecting on the interlayer, and temperature wave with the same propagation velocity. Here the reflection coefficient and transmission coefficient are complex, which show that in this case, the amplitudes and phases of reflected wave and transmission wave are affected by physical property parameter, thickness of the interlayer and the frequency of incident wave. These different results from the elastic waves can be applied in seismic exploration, earthquake engineering and other related issues.

Key words: Thermoelasticity wave, Stratified medium, Complex reflection coefficient, Complex transmission coefficient