This study develops a micropolar thermoelastic model for porous media with temperature-dependent properties and rotation, solved via normal mode analysis within the framework of the Refined Lord–Shulman (RLS) hypothesis, which includes one thermal relaxation time. This analytical approach enables detailed investigation of how rotation, porosity, and temperature-dependent characteristics affect displacement, temperature distribution, microrotation, and stress fields. The results reveal that including temperature-dependent coefficients significantly alters waves behavior and stress distributions. The refined Lord–Shulman framework effectively captures finite-speed thermal wave propagation and relaxation phenomena, making the model applicable to advanced problems in geophysics, biomechanics, and aerospace engineering.
Othman et al. (Mon,) studied this question.