Wave propagation in a generalized magneto-micropolar thermoelastic medium with gravity and initial stress

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This study investigates elastic wave propagation in a generalized magneto-micropolar thermoelastic medium under the combined effects of gravity, initial stress, and a magnetic field. The governing equations, based on the micropolar thermoelastic framework, account for micro-rotation, thermal conduction, electromagnetic interactions, and initial stress, providing a comprehensive description of the medium's behavior. Analytical expressions for displacement, stress components, and microrotation fields are obtained using the normal mode method, while numerical simulations in Mathematica illustrate how time, magnetic field, gravity, and initial stress influence wave speed, dispersion, and attenuation. The results show that magnetic and micropolar properties reshape wave behavior and introduce distinct dispersive and damping patterns. These findings highlight the complex interplay of multi-physical effects and offer insights for optimizing wave control in microstructured and multifunctional materials, with potential applications in materials science, geophysics, and advanced engineering systems.

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