Reflection and transmission of elastic waves at an interface between two micropolar piezoelectric half-spaces

Abstract

In the present paper, we consider a problem of reflection and transmission of plane waves at an interface between two different transversely isotropic micropolar piezoelectric half-spaces. The plane wave solution of governing equations for micropolar piezoelectric medium indicates the propagation of three coupled plane waves. An incident plane wave at an interface between two dissimilar half-spaces generates three reflected and three transmitted waves. The relations between amplitude ratios of reflected and transmitted waves are derived which, in general, depend on material parameters and angle of incidence. The explicit expressions for energy ratios of reflected and transmitted waves are also obtained. For relevant material parameters, the results are illustrated graphically to show the micropolar piezoelectric effects on variations of amplitude ratios and the square root of energy ratios against the angle of incidence.