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

This article provides a theoretical treatment of the dynamic interaction be tween a matrix crack and an arbitrarily located circular: inhomogeneity wit h a distinct interphase under antiplane loading. The matrix/inhomogeneity i nterphase is characterized by a linear spring model. The theoretical formul ations governing the steady state problem are based upon the use;of integra l transform techniques, Bessel function expansions and a Pseudo-incident wa ve 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 provi ded to show the effect of the location of the inhomogeneity, the material c ombination and the interface properly upon the dynamic stress intensity fac tor of the matrix crack. (C) 1998 Elsevier Science Ltd. All rights reserved .