Modeling of The Multi-Temperatures Theory in Generalized Poro-Thermoelastic Medium under the Effect of Initial Stress

In this study we apply multi-temperatures theory to the two-dimensional deformation of a homogeneous, isotropic, thermoelastic half-space with voids under the influence of initial stress. The problem was developed within the context of Lord-Shulman theory. The methodology used here is normal mode analysis to solve the problem and get exact expressions for displacements, stresses, strain, conductive temperature, thermodynamic temperature, and change in volume fraction field. These quantities constructed in the physical domain are displayed graphically. The numerical results of these quantities for magnesium crystal-like material are shown to represent the influence of multi- temperatures and initial stress.