Effects of load inclination, local interactions, and reference temperature on poro-thermoelastic solids using G-N III theory

In this work, the impact of inclined load, location, and reference temperature on a poro-thermoelastic solid is proposed to address this problem. The fundamental equations for a nonlocal poro-thermoelastic medium are derived, concerned with Green-Naghdi theory of type III. Given as a linear function of reference temperature is the modulus of elasticity. By using normal mode method, analytical formulas for displacement components, stress, and temperature are obtained. The results obtained are compared with predictions for a range of values of the nonlocal parameter and for an empirical material constant. Furthermore, the results for different inclined loads are compared. This work is novel in its multiphysical, multiscale modeling approach to poro-thermo-elastic behavior, capturing the realistic complexity of load orientation, internal material interactions, and pre-existing thermal conditions all within a modern, wave-based heat conduction framework. It advances theoretical modeling and has practical implications for materials used in geotechnics, biomechanics, thermal barrier systems, and composite engineering.