Diffraction of SH-Wave by Interacting Matrix Crack and an Inhomogeneity

Abstract

This article presents an analytical treatment of the dynamic interaction between a crack and an arbitrarily located circular inhomogeneity under antiplane incident wave. The method is based upon the use of a pseudo-incident wave technique which reduces the interaction problem into a coupled solution of a single crack and a single inhomogeneity problems. The newly proposed pseudo-incident wave technique avoids the numerical integration commonly used in the boundary element and volume integral methods and thus provides reliable and accurate analytical solutions. The resulting dynamic stress intensity factor of the crack is verified by comparison with existing results and numerical examples are provided to show the dependence of dynamic shielding and amplification upon the frequency of the incident wave, the material combination and the location of the inhomogeneity. The results show that the toughening associated with special geometric configurations under quasi-static loading may provide undesirable weakening effect upon the crack under dynamic loading in a certain frequency region.