Generalized Thermoelastic-Piezoelectric Problem by Hybrid Laplace Transform-Finite Element Method

A formulation of the hybrid Laplace transform-finite element method is presented to deal with a thermoelastic-piezoelectric coupled two-dimensional thermal shock problem of a thick, infinite piezoelectric plate. The results are applicable to the generalized thermoelasticity theories: Lord-Shulman, Green-Lindsay, and Chandrasekharaiah-Tzou theories, as well as the classical coupled theory. By means of the Laplace transform and numerical Laplace inversion the problem is solved. The results are given and illustrated graphically. From the distributions, the wave type heat propagation in the piezoelectric plate can be found. A comparison with results given in literature proves the good performance of the used method.