Thermal shock problem of piezoelectric materials with temperature-dependent properties

Abstract

Base on the generalized thermoelastic theories of Lord and Shulman (L-S) and Green and Lindsay (G-L), the thermal shock problem of an infinite piezoelectric plate with temperature-dependent properties are studied by using the finite element method (FEM). The governing equations are nonlinear of temperature due to temperature-dependent properties. It is difficult to solve the problem by using the integral transform method. The FEM equations are solved directly in time domain. The distributions of temperature, displacement, stress and electric field are obtained. In the results, it is easy to find that the properties have jumps at the heat wave under the L-S and G-L theories but change continuously under the classical theory. The temperature-dependent properties make the other parameters different from temperature-independent condition. From the results obtained in the paper, one can get that the time-domain solution method of FEM can describe the finite velocity of heat conduction accurately.