Wave Displacement Field on an Elastic Bi-material Surface due to a Mode III Crack Opening

Abstract

The elastic bi-material composed of a half-space with penny-shaped mode III crack and a layer is considered. The functions of the crack-opening-displacement are set in a time-harmonic law. The problem of determination of the wave displacement field is solved by the boundary integral equation method (BIEM). The solutions are selected in the form of Helmholtz potentials. The integral representation of the displacements on the body surface is obtained. The effect of the oscillations frequency, the ratio of elastic constant parameters of the bimaterial, the thickness of the layer and the defect depth on the amplitude of the displacements are investigated.