The Influence of a Non-local thermoelasticity with Diffusion under Hydrostatic Pressure

Abstract

Abstract This article is demonstrating the diffusion theory of thermoelasticity on a two-dimensional half-space problem. The surface is exposed to thermal shocks and hydrostatic loads. Chemical potential must be a known time function. The solution is obtained with the direct method using Laplace's techniques and Fourier's exponential transform. Local and non-local thermoelasticity were discussed and the influence of the non-local parameter on the generalized theory of thermoelastic diffusion was investigated. Chemical potential, concentration temperature, stress, and displacement distributions are computed numerically and represented by graphical.