Scattering of elastic P-waves by a transversely isotropic piezoelectric cylinder embedded ina polymer matrix

Abstract

The scattering behavior of elastic P-waves by a transversely isotropic piezoelectric cylinderembedded in an infinite polymer matrix is studied. The method of wavefunction expansionis used to formulate the problem. Numerical calculations are carried out for the distributionof stresses, mechanical displacements and electrical potential around the piezoelectriccylinder, respectively. Effects of normalized frequency and incident angle of incident waves,radius of the cylinder on the dynamic stress and electric field concentrations areinvestigated in detail. It is found that the effect of the incident angle on the dynamic stressconcentration is markedly only for the low frequency waves and the maxima of themagnitudes of stresses shift toward the incident side of the piezoelectric cylinder as thenormalized frequency increases. This study is useful in designing piezoelectric composites,especially for the case of piezoelectric cylinders aligned sparsely in a matrix medium.