A comprehensive examination of fundamental solution and Green’s function in orthotropic photothermoelastic media including moisture

This study presents an analysis of the fundamental solution and Green’s function in a semi-infinite orthotropic photothermoelastic medium influenced by moisture (PTM). The governing equations are reformulated in two dimensions and expressed in dimensionless form using operator theory to derive a general solution of the PTM model. Employing newly introduced harmonic functions, the fundamental solution on the boundary surface and the Green’s function within the interior region are developed from this general solution. To assess the role of moisture, numerical simulations are carried out for displacement, stress, temperature, carrier density, and moisture distribution, with results displayed graphically. Several limiting cases-namely photothermoelastic, thermoelastic, and purely elastic-are extracted from the analysis and compared with earlier findings. The outcomes provide useful insights for engineering and material science applications, particularly in semiconductor systems subjected to coupled photothermoelastic effects. The proposed fundamental and Green’s function solutions also serve as a basis for constructing analytical models in boundary element methods and for addressing defect, crack, and inclusion problems in complex materials.