Wave propagation and thermal behavior in nonlocal thermoelastic porous media under moving heat sources with three-phase-lag and Green–Naghdi models

Abstract

This study examines thermoelastic wave propagation in a nonlocal porous thermoelastic half-space subjected to a moving heat source using two advanced theoretical models: the three-phase-lag (3PHL) heat conduction model and the Green-Naghdi type III theory. Analytical solutions for the physical field variables are derived via normal mode analysis. The work highlights the role of nonlocal effects in porous media and presents a comparative assessment of the two thermoelastic frameworks. Numerical results demonstrate that locality reduces displacement and stress amplitudes, while porosity and phase-lag parameters significantly influence temperature and volume fraction fields. Additionally, the moving heat source modifies wave propagation characteristics and enhances the thermal response near the boundary. These results offer valuable insight into thermally induced deformation in porous materials and are relevant to applications such as laser processing, additive manufacturing, and thermal protection systems.