Reflection of Plane Waves from a Rotating Magneto–Thermoelastic Medium with Two–Temperature and Initial Srtress Under Three Theories

The model of the equations of generalized magneto-thermoelasticity in an isotropic elastic medium with two–temperature under the effect initial stress is established. The entire elastic medium is rotated with a uniform angular velocity. The formulation is applied under three theories of generalized thermoelasticity: Lord–Shulman, Green–Lindsay, as well as the coupled theory. The Harmonic function is used to obtain the exact expressions for the considered variables. Some particular cases are also discussed in the context of the problem. We introduce the equations of the velocity of p–wave, T–wave and SV-wave. The boundary conditions for mechanical and Maxwell’s stresses and thermal insulated or isothermal are applied to determine the reflection coefficients for p–wave, T–wave and SV–wave. Some new aspects are obtained of the reflection coefficients and displayed graphically and the new conclusions are presented. Comparisons are also made with the results predicted by different theories (CT, L–S, G–L) in the presence of rotation, initial stress, magnetic field, as well as, the two-temperature parameter on the reflection of generalized thermo–elastic waves.