Dispersive behavior of SH waves in a smart composite structure of viscoelastic media

Abstract

This study focuses on the dispersive behavior of SH waves in a piezoelectric viscoelastic (PV) layer sandwiched between a magnetoelastic fiber-reinforced viscoelastic (MFRV) layer and a heterogeneous viscoelastic half-space. The linear variation of the downward-pointing space variable introduces inhomogeneity in the viscoelastic half-space. With the help of the variable separation technique, the governing equations of the present model are solved to obtain solutions for the mechanical displacement and electric potential function. A complex frequency equation for the SH waves has been derived by applying appropriate boundary conditions. The results are confirmed by comparison to the classical case of Love wave, and special cases of the problem are also discussed. In the fundamental analytical study, two cases of the PV layer are discussed, and the effects of physical parameters on the phase and damped velocity of SH waves are investigated through numerical calculations and presented graphically. A comparative study has also been carried out to analyze the effects of the viscoelastic parameters, reinforcement parameters, thickness ratio parameter, magnetoelastic coupling parameter, inhomogeneity parameter, and the angle at which the wave intersects the magnetic field on the phase and damped velocity by taking electrically open and short conditions.