Shear wave velocity in a functionally graded piezoelectric semiconductor plate clamped on a rigid base

Abstract

This paper investigates the propagation of horizontally polarized shear waves in a piezoelectric semiconductor (PSC) layered structure. The modal consists of a pre-stressed PSC thin plate atop an elastic dielectric half-space joined perfectly at the interface. It is postulated that the material parameters and initial stress exhibit an exponential variation exclusively along the depth. The velocity equation of the considered wave is analytically obtained based on the traction-free boundary conditions. Numerical examples have been employed to examine the influences of several parameters, including semiconducting properties, material gradient index, initial stresses, external biasing electric field, and PSC film thickness, on the characteristics of the wave. Graphs have been generated to visualize the dependency of wave velocity and attenuation on these factors. The wave’s velocity and damping properties are significantly influenced by the thickness and steady state carrier density of the PSC plate. Besides yielding critical results, current findings are instrumental in designing high-frequency SAW devices.