Thermodiffusion of a magnetized rotating microelongated thermoelastic layer due to initial stress and the Moore-Gibson-Thompson model

Abstract

This study presents an analytical investigation of wave propagation in a magnetized, rotating, initially stressed microelongated thermoelastic layer within the framework of the Moore-Gibson-Thompson (MGT) heat conduction model, incorporating thermodiffusion and microstructural effects. The proposed formulation accounts for the coupled interactions between thermal, mechanical, magnetic, diffusive, and microelongational fields in a homogeneous and isotropic medium, providing a physically consistent multi-physics description of energy transport and wave dynamics. An exact analytical solution is obtained using the harmonic wave approach, enabling the derivation of bounded wave modes and characteristic propagation behavior in the half-space configuration. Numerical simulations are performed using aluminum-epoxy material properties to examine the influence of key parameters, including rotation, magnetic field intensity, and wave number, on temperature distribution, displacement components, stress fields, and chemical concentration. The results reveal strong thermo-rotational and magneto-thermoelastic coupling effects, demonstrating that increasing rotation enhances thermal energy accumulation and significantly modifies mechanical and diffusive responses. Stable finite solutions are obtained throughout the domain, and wave attenuation is shown to arise not only from intrinsic material dissipation mechanisms but also from boundary-induced energy loss effects. The proposed model provides a robust theoretical framework for understanding coupled wave phenomena in microstructured thermoelastic materials, with potential relevance to advanced engineering, energy systems, and microstructured material applications.