A Problem in Thermoelasticity with and without Energy Dissipation

Abstract

In this work, we are compared between the theory of thermoelasticity with two relaxation times and the theory of thermoelasticity without energy dissipation. To a half-space overlaid by a thick layer of a different material. The upper surface of the layer is taken to be traction free and is subjected to a constant thermal shock. We are used Laplace transform to eliminate the time variable t. The inverses Laplace transforms are obtained by using a numerical method based on Fourier expansion techniques comparison between the predictions of both theories are discussed. Numerical results are computed for the temperature, displacement and stress distributions. The numerical results are represented graphically