Love-type wave propagation in a corrugated piezoelectric structure

Abstract

This study delves into the propagation of Love-type wave in a corrugated piezoelectric layer overlying an isotropic elastic half-space. The expression of dispersion relation has been established in a closed form for both the cases of electrically open condition and electrically short condition. The pronounced effect of various affecting parameters, namely wave number, corrugation parameter of upper boundary surface, corrugation parameter of common interface between the layer and the half-space, piezoelectric constant and dielectric constant of corrugated piezoelectric layer, undulation parameter and position parameter on the phase velocity of Love-type wave, has been remarkably traced out. In order to observe the prominent effect of these affecting parameters on the phase velocity of Love-type wave, numerical computation and graphical demonstration have been accomplished for specific type of corrugated boundary surfaces present in the layer. Moreover, comparative study has been wrapped up to reveal the latent characteristics of the problem by means of graphical illustrations for both the cases of electrically open and electrically short conditions. As a special case of the problem, it is observed that procured dispersion relation for both the cases of electrically open condition and electrically short condition is in well agreement with the classical Love wave equation.