The effect of magnetic field on the propagation of Rayleigh waves in fiber-reinforced viscoelastic media

Abstract

The propagation of harmonic plane waves is considered in a linear viscoelastic solid reinforced by two families of fibers. These families are orthogonal, and a composite material is orthotropous to wave motion. The impact of a magnetic field and fiber parameters in a linear magneto-viscoelastic model considers the propagation of harmonic plane waves. . In this scattered medium, propagation of the Rayleigh wave is governed by a complex, irrational equation. The implicit radicals in this complex equation are rationalized by squaring. The resulting cubic equation is solved to define three complex velocities. Each complex velocity represents an inhomogeneous wave that decays while traveling across the medium. Thus, qualified, complex velocity is resolved to determine a Rayleigh wave’s phase velocity and attenuation coefficient. Consequently, there may be more than one Rayleigh wave in this fiber-reinforced viscoelastic medium. The corresponding particle motion at any given position in the medium is ccalculated using the Rayleigh wave’s complex velocity. The influence of fibers and magnetic fields on the velocity, attenuation, and polarization of Rayleigh waves is investigated using a numerical example.