Analysis of SH-Wave Propagation in Magnetoelastic Fiber-Reinforced Layer Resting over Inhomogeneous Viscoelastic Half-Space with Corrugation

Abstract

The analysis of the wave propagation phenomenon on magnetoelastic fiber-reinforced (MEFR) composites has not yet been much explored. The present paper investigates the dispersive behavior of SH waves in a MEFR crustal layer lying over an inhomogeneous viscoelastic half-space under the action of corrugated boundary surfaces. The MEFR material is polarized in the x1-axis direction. The exponential variation of the space variable, which is pointing positively downward, causes inhomogeneity in the inhomogeneous viscoelastic half-space. The frequency relation of SH-wave propagation on the considered composite structure is obtained by employing a variable-separable technique, Whittaker’s equation, and nontraditional boundary conditions. The profound effect of material parameters, corrugation, undulatory, inhomogeneity, and viscoelasticity on the phase velocity of SH waves is discussed with the help of numerical calculations and shown by graphical illustrations. The obtained result is well-matched with the classical case of a Love wave for validation, and is discussed as one of the problem’s special cases. The findings of this research may be useful in interpreting geomechanical, geological, and geodynamical applications within the Earth’s crust, which contains natural resources.