An adaptive mesh-free approach for dynamic failure analysis

In this paper a novel mesh-free method by a simple coupling between the finite point method (FPM) and a mesh-free Peridynamic method is introduced. In this method, the solution domain is mainly discretized by FPM points at the beginning of the analysis; FPM produces results with lower computational cost compared to a Peridynamic-only model. Then as the analysis progresses in time, FPM points can change to Peridynamic points in the parts where there is a possibility of crack nucleation or propagation. In this way, the approach benefits from the full advantages of both methods by using an adaptive partitioning of the solution domain, and it restricts the Peridynamic solution only to necessary parts.