SH-Wave Interaction with MTI Strip Coated with Newtonian Viscous Liquid Laid over Self-Weighted Heterogeneous Half-Space: a Comparative Study

The present work investigates SH-wave regulation phenomena into a magneto-elastic transversely isotropic (MTI) strip clamped between a coated Newtonian viscous liquid layer and a heterogeneous elastic half-space. The classical dynamical coupled theory has been employed to examine the problem. Whittaker special function and variable separable technique have been employed to determine the exact solution of the governing equations. A closed-form dispersion equation for the SH-wave has been developed for this boundary conditions-based problem. The validity of our model has been examined in terms of special cases and compared with the classical Love wave equation. Numerical and graphical analyses have been executed for six numerical examples of the MTI layer namely; beryl, magnesium, cadmium, zinc, cobalt and isotropic. Therefore, a comparative study has been developed to examine the velocity profile of the wave for these different MTI examples through several graphs. The results show that the presence of magnetic field, viscosity, initial stress and gravitational field in the structure have major effects on the wave velocity. This model has huge potential to deal with many commercial and industrial applications in acoustic engineering, geotechnical engineering, ultrasonic, earthquake engineering, geophysics, etc.