A multi-layered model of Newtonian viscous liquid, fiber-reinforced and poro-elastic media over a self-weighted half-space to investigate the SH-wave interactions

Abstract

The present study is carried out to investigate the regulation phenomena of SH-waves into a multi-layered structure of Newtonian viscous liquid, fiber-reinforced and poro-elastic strips laid over a gravitating half-space. The classical dynamical coupled theory has been employed to examine the problem. The variable separable technique and Whittaker special function have been used to determine the exact solution of the governing equations. A frequency equation for the SH-wave has been developed for this boundary conditions based problem. Results indicate that the presence of reinforcement, porosity, initial stress, viscosity, and gravitational field in the structure possesses a prominent impact on velocity of the wave. This model contains huge potential to deal with many commercial and industrial applications in acoustical engineering, geo-technical engineering, ultrasonic, earthquake engineering, and geophysics.