Dispersion and absorption study of SH waves in sinusoidally corrugated heterogeneous viscoelastic layer sandwiched between heterogeneous isotropic half-space and magnetoelastic monoclinic half-space

The present paper employs variable separable technique to investigate the effect of corrugated boundary surface along with other affecting parameters on the phase and damped velocity of SH-wave in a three medium mathematical model, i.e. a heterogeneous viscoelastic layer with corrugated boundary surface sandwiched between a heterogeneous isotropic half-space and an anisotropic magnetoelastic monoclinic half-space. The dispersion and absorption equations have been obtained in the closed form. Some special cases of the dispersion equation have been obtained, which are in good agreement with the Classical Love Wave Equation. The absence and presence of corrugated frontier surface are determined by the term initial flatness parameter. Considerable effects of some parameters such as initial flatness parameter, heterogeneity, magneto elasticity as well as viscoelasticity associated with the layers have been investigated for both the curves, i.e. dispersion curve and attenuation curve which corresponds to the dispersion equation and the absorption equation, respectively. Vital strides have been made by the integration of both the numerical computation and graphical plots to demonstrate those effects to accomplish the objective of the problem.