Dynamic interaction between a matrix crack and a circular inhomogeneity with a distinct interphase

This article provides a theoretical treatment of the dynamic interaction between a matrix crack and an arbitrarily located circular inhomogeneity with a distinct interphase under antiplane loading[ The matrix:inhomogeneity interphase is characterized by a linear spring model[ The theoretical formulations governing the steady state problem are based upon the use of integral transform techniques\ Bessel function expansions and a Pseudo!incident wave technique[ The closed form expression for the resulting stress intensity factor at the matrix crack is obtained by solving the appropriate singular integral equations using Chebyshev polynomials[ Typical examples are provided to show the e}ect of the location of the inhomogeneity\ the material combination and the interface property upon the dynamic stress intensity factor of the matrix crack[ 0887 Elsevier Science Ltd[ All rights reserved