Two-dimensional generalized thermoelastic diffusion in a half-space under axisymmetric distributions

Abstract

A two-dimensional problem for an infinite thermoelastic half-space with a permeating substance in contact with the bounding plane is developed. The formulation is applied to the generalized thermoelastic diffusion based on Lord–Shulman theory. The bounding surface is traction free and subjected to a known axisymmetric temperature distribution, and the chemical potential is assumed to be a known function of time. Integral transform technique is used to find the analytic solution in the transform domain by using a direct approach. Inversion of transforms is done employing a numerical scheme. The mathematical model is prepared for copper material, and numerical results for temperature, stress, displacement, chemical potential and concentration are obtained and illustrated graphically.