Interaction between an interface and cracks

Abstract

The elastic field of edge dislocation embedded in one of two well bonded blocks is easily given by combining the edge dislocation solution in infinite plane and the method of analytic function. Using the elementary field and the principle of superposition, the problem of interaction between multi-cracks and interface is converted into a group of singular integral equations which can be numerically solved with the aid of the Chebyshev polynomial. The analytical results show that the connection between the stress intensity factors (SIF) and the Dunders' parameters depends on the bimaterial system. Furthermore, the depth beneath the interface is presented where the effect of the interface on SIF of cracks is reduced to a specified small scale. The authors point out that the depth is largely dependent on load phase angle and the distribution of cracks, but a little dependent on the orientation of the crack when there exists only one.