A Problem In Thermoelasticity With Two Relaxation Times For An Infinite Thermoelastic Layer

Abstract

The problem of a ihcrmoclastic layer of finite thickness and infinite extent is considered within the context of the theory of thcrmoclasticity with two relaxation times. The upper surface of the layer is taken as stress free and is suddenly subjected to a thermal shock. The lower surface of the layer rests on a rigid base that is thermally insulating. Laplace transform techniques are used. The problem is solved by using a direct approach. The inverse Laplace transforms are obtained analytically by using asymptotic expansions valid for small values of time. Numerical computations for the temperature, the displacement and stress distributions are carried out and represented graphically.