Solving generalized piezothermoelastic problem by FEM with different theories

The generalized piezothermoelastic coupled governing equations are formulated in generalized thermoelasticity theories: Green-Lindsay (G-L) theory and Lord-Shulman (L-S) theory. For a short time duration, the finite element method is proposed to solve the partial differential equations directly in the time domain. The developed method is applied to a two-dimensional generalized piezothermoelastic problem of a thick piezoelectric plate of infinite extent subjected to thermal shock on its surface. Temperature distribution, displacement, stress and electric potential distribution are obtained and represented graphically. Comparisons are made with the results predicted by the classical piezothermoelastic theories. It is shown that the present method is an effective and exact numerical analysis method for the generalized piezothermoelastic problem.