Effect of undulation on SH-wave propagation in corrugated magneto-elastic transversely isotropic layer

ABSTRACT

This article delves to study the effect of corrugated boundary surfaces on the propagation of horizontally-polarized shear waves (SH-waves) in a magnetoelastic transversely isotropic layer under a hydrostatic state of stress lying over an elastic half-space under gravity. A dispersion equation has been derived in closed-form and is found to be in good agreement to the classical Love-wave equation. The effect of magnetoelasticity, hydrostatic state of stress, gravity, corrugation, position parameter, and undulation on the phase velocity of the SH-wave has been identified. Numerical computation along with graphical demonstration has been carried out for cadmium, magnesium, and zinc materials of hexagonal symmetry to highlight some significant facts.

KEYWORDS:

• Elastic layer
• gravity
• hydrostatic state of stress
• magnetoelastic
• SH-wave
• transversely isotropic

Acknowledgments and Funding

The authors convey their sincere thanks to Indian School of Mines, Dhanbad for providing JRF to Mr. Kshitish Ch. Mistri and also facilitating us with its best facility for research.