Magneto-thermoelastic surface waves in a rotating nonhomogeneous electrically conducting fiber-reinforced anisotropic general viscoelastic media of higher order with voids and gravity under four theories

Abstract

The effect of thermal, gravity, and externally applied magnetic field on surface waves in a rotating nonhomogeneous perfectly electrically conducting fiber-reinforced anisotropic general viscoelastic media of higher order with voids is investigated. The general surface wave speed is derived to study the effects of rotation, thermal, gravity, and magnetic field on surface waves in the presence of voids. Particular cases for Stoneley and Rayleigh waves are discussed. The results obtained in this investigation are more general in the sense that some earlier published results are obtained from our results as special cases. In the absence of thermal, magnetic, voids, and rotation, our results for viscoelastic of order zero are well in agreement to fiber-reinforced materials. Also by neglecting the reinforced elastic parameters and non-homogeneity, the results reduce to well-known isotropic medium. It is observed that surface waves cannot propagate in a strong initially applied magnetic field or in a fast-rotating media. Numerical simulations for particular materials are given and illustrated graphically. The results obtained have been compared with the previous results that clear the impact of the new parameters on the phenomenon.