On the reflection of the generalized magneto-thermo-viscoelastic plane waves

The present paper concerns with the investigation of the reflection of generalized magneto-thermo-viscoelastic waves at the boundary of a semi-infinite solid. The free surface of the solid is considered to be adjacent to vacuum. We assumed that the solid is subjected to a constant temperature and magnetic field. When a rotational wave is incident from within the solid on its boundary, the expressions for the reflection coefficients (and their approximate expressions) of the waves generated at the boundary are obtained. The assumptions that the body is a perfect conductor and the chosen that the viscoelastic model is of Kelvin–Voigt type are considered. The effect of the viscosity, the applied magnetic field and the thermo-elastic coupling factor on the reflection coefficients are studied. The numerical calculations of the absolute values of the reflection coefficients and their relative changes for the Lord–Shulman and Green–Lindsay in generalized thermoelastic models are presented graphically. Finally, some earlier studies may be deduced as special cases from our results presented in this paper.