A two-dimensional adaptive non-uniform discretization bond-based peridynamics for static and dynamic fracture in brittle materials

In this paper, a two-dimensional adaptive non-uniform discretization bond-based peridynamics is proposed, aimed at investigating the fracture behavior of brittle materials under static and dynamic conditions. The proposed method is grounded in Delaunay triangular discretization and utilizes the self-similarity principle to refine the damage location. The new contribution of this work is that the non-uniform discretization of computational domain can be achieved without knowing the crack propagation path in advance, and the adaptive refinement of the damage position through the proposed method can be better realized. Four numerical cases of static or dynamic fracture under two-dimensional conditions are investigated, and the numerical results obtained by the proposed method are in good agreement with those obtained by non-uniform discrete peridynamic methods with knowing crack propagation path in advance and other numerical methods, such as DYNA3D. The results show that the proposed method can well realize the tracking of crack propagation paths, and can handle problems such as dynamic fracture, complex structural fracture, multi-crack interaction, and so on.