Wave propagation in dual-porosity media under the combined effects of light, heat, elasticity, and gravity

This paper investigates the propagation of two-dimensional thermoelastic waves in a semiconductor medium characterized by double porosity and subjected to the influence of gravity. We develop the theoretical framework using the Lord–Shulman (L–S) and Green–Lindsay (G–L) models. Both models account for finite thermal wave speeds and relaxation times. The coupled governing equations describing temperature, carrier density, stress, and displacement fields are analytically solved using the harmonic wave method. The analysis emphasizes the combined influence of gravitational acceleration, temporal variation, and thermoelastic coupling on the dynamic behavior of the medium. Three-dimensional graphical results illustrate the interactions among these parameters and their impact on thermal and mechanical responses. The findings show that gravity significantly modifies the amplitude and spatial distribution of thermoelastic waves, enhancing the coupling between thermal and elastic fields within the porous structure. Comparative evaluation of the CD, L–S, and G–L theories reveals the crucial roles of relaxation times and gravitational effects in controlling thermoelastic wave propagation in double-porosity semiconductor materials.