Scattering of plane waves from an interface crack

Abstract

In this paper, the two-dimensional problem of elastic wave scattering from a finite crack along the interface between two dissimilar, isotropic solids is considered. Through use of the Fourier transform method, the scattered fields are represented by an integral involving the crack opening displacement. The boundary value problem of wave scattering is then reduced to a vectorial Cauchy singular integral equation for the crack opening displacement by applying appropriate interfacial conditions. The integral equation is solved numerically by a Jacobi polynomial expansion technique. Crack opening displacements are obtained for various incident frequencies and incident angles. The steepest descent method is then used to derive the asymptotic far-field displacements. It is found that the far-field displacements contain rich information about the cracked interface.