An examination of the fundamental solution and Green’s function in orthotropic photothermoelastic with diffusion under the MGT model

Abstract The objective of this paper is to investigate the fundamental solution and Green’s function in a semi-infinite orthotropic photothermoelastic diffusion medium that is based on the Moore-Gibson-Thompson heat equation (MGTPWD). First, we transform the governing equations into a two-dimensional format and then make dimensionless to derive the general solution for the MGTPWD model. Based on the general solution, nine new harmonic functions were used to build the fundamental solution and Green’s function for a steady point heat source on the surface and inside of a semi-infinite material in the proposed model. The elementary functions are used to express the components of displacements, stress, temperature distribution, carrier density distribution and chemical potential. The physical field quantities (stress, temperature distribution, carrier density distribution and chemical potential) are computed numerically and presented graphically to depict diffusion impact. A unique case have been deduced and compared with earlier known results. The results acquired can be used to delineate a variety of semiconductor elements during the coupled photo thermoelastic impact and can also be applied in the material and engineering sciences.