Generalized thermoelastic diffusion in a thick circular plate including heat source

Abstract

The present paper is aimed at studying thermoelastic diffusion interactions in a thick circular plate of infinite extent and finite thickness subjected to an axisymmetric heat supply and a heat source in the context of Lord–Shulman theory of generalized thermoelastic diffusion. The upper and the lower surfaces of the thick plate are traction free and the chemical potential is assumed to be a known function of time. Integral transform techniques are used to find the analytic solution in the transform domain. Mathematical model is prepared for Copper material plate and the numerical results are discussed and illustrated graphically.