Abstract
Thermal and mass diffusion processes are important issues in a variety of engineering applications and scientific disciplines. The main objective of this research is to develop a new model that demonstrates diffusion in thermoelastic solids and compares the strain/temperature fields and mass diffusion. The proposed model is an extension of the Quintanilla model [1]. In the new model, Fourier's and Fick's laws have been improved by including the relaxation times in the Green-Naghdi theory in the framework of Moore-Gibson-Thompson (MGT) heat equation. Based on the introduced model, a one-dimensional half-space problem is considered. The surface surrounding the half-space is exposed to chemical potential and thermal shocks. Our findings indicate that the considered physical fields have a non-zero value only in a limited area and disappear outside this area. This result fully demonstrates the validity of the proposed model because the nature of velocities is limited by heat and diffusive waves.