SH-Wave Scattering at the Boundary between Two Piezoelectric Half-Spaces with Surface-Interface Energy

Abstract

The study investigates the reflection and refraction phenomena of shear horizontal (SH) waves at the interface between two piezoelectric media in the scope of surface-interface elasticity. In micro/nano smart structures such as surface acoustic wave devices, where the ratio of the area of the surface/interface to the bulk is large, the produced field quantities are affected by surface/interface electromechanical properties. Derivation of the surface strain energy density, surface stress tensor, and surface kinetic energy density has been achieved using the Gurtin-Murdoch model and the Eremeyev model, which take into consideration the surface-interface elasticity. The expressions of the amplitudes of reflected and refracted waves have been derived analytically using the governing equations for a piezoelectric medium. Numerical simulations and graphical interpretations have been carried out to observe the effects of surface-interface elasticity on wave propagation. It has been found that the wave’s amplitude ratios are sensitive to the change in surface-interface elasticity parameters. The investigation may have possible applications in signal processing, transduction, and frequency shifting (a difference in the velocity of surface waves and controlling the selectivity of a filter compensation) of individual devices.