A development of finite-element simulation method for a system of growing cracks in a heterogeneous material

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In this project a numerical simulation method is proposed for the growth of interacting non-collinear cracks in a finite, heterogeneous, and two-dimensional elastic solid. The stress analysis is based on a step-by-step finite element method using the method of superposition of analytical and finite-element solutions accompanied by the quadtree a automatic mesh generation algorithm. An incremental crack growth pattern is predicted considering the interaction of all growing cracks by the Schwartz-Neumann alternating procedure using a first order perturbation solution of slightly kinked and curved extension of all growing cracks, which analytically gives the mixed mode stress intensity factors at extending crack tips. The local symmetry criterion is used as the crack path criterion at the extending crack tips. Several numerical examples, including the avoidance of collinear edge cracks and cracks initiated at the ends of fibers show the validity of the present simulation method.