Generalized thermoelastic diffusion problem in a thick circular plate with axisymmetric heat supply

Abstract

The main objective of the present paper is to study the effect of axisymmetric heat supply on the phenomena of diffusion in a thermoelastic thick plate of infinite extent and finite thickness. The problem is discussed within the context of the theory of generalized thermoelastic diffusion with one relaxation time. The upper and the lower surfaces of the thick plate are traction free and subjected to an axisymmetric heat supply. The solution is found by using integral transform technique and a direct approach without the use of potential functions. Inversion of Laplace transforms is done by employing a numerical scheme. The mathematical model is prepared for a Copper material plate, and the numerical results are discussed and represented graphically.