Interaction between cracks and a circular inclusion in a finite plate with the distributed dislocation method

This paper presents a numerical solution of interaction between cracks and a circular inclusion in a finite plate. Both the boundaries and the cracks are modeled by distributed dislocations. This approach will result in a set of singular integral equations with Cauchy kernels, which can be solved by Gauss-Chebyshev quadratures. Several numerical examples are given to assess the performance of the presented method. The solutions obtained by this method have been checked and confirmed by the finite element analysis results.