Reflection and Transmission of Plane Waves at an Interface between Elastic and Micropolar Piezoelectric Solid Half-Spaces

Abstract

A problem of reflection and transmission of elastic waves at an interface between an elastic solid half-space and a micropolar piezoelectric solid half-space is considered. Both the half-spaces are assumed to be transversely isotropic. For an incident wave from transversely isotropic elastic solid half-space, two reflected waves in transversely isotropic elastic half-space and three transmitted waves in transversely isotropic micropolar piezoelectric solid half-space exist. The appropriate potentials of incident, reflected and transmitted waves satisfy the required boundary conditions at interface and relations in amplitude ratios of all reflected and transmitted waves are obtained with a suitable Snell’s law. The expressions for energy ratios of various reflected and transmitted waves are also obtained. The amplitude ratios and the square root of energy ratios of reflected and transmitted waves are computed numerically for a particular material representing the present model. The amplitude ratios and the square root of energy ratios are plotted against the angle of incidence to observe the effect of micropolar piezoelectricity.