Eigenvalues approach on thermo-elastic diffusions problem for an infinite material containing spherical holes

Abstract

In this article, the thermoelastic diffusion interaction in an unbounded medium containing spherical holes in the context Green-Naghdi model of type III are studied. The inner surface of hole is taken to be tractions free and due to an exponent of the decayed heat flux. The Laplace transforms techniques are used. The eigenvalues approaches are adopted for the solutions of applications for infinite media with a spherical hole. The numerical results for the concentration, the displacement, the chemical potential, the temperature, and the stress are presented analytical and graphically.