A meshless method coupling peridynamics with corrective smoothed particle method for predicting material failure

Abstract

In this paper, we developed a meshless framework that couples peridynamics (PD) and the corrective smoothed particle method (CSPM) to simulate the complex damage and fracturing process of structures. This framework retains the advantages of PD in simulating material failure, and solves the problem that PD cannot simulate structures with irregular grids, and it also reduces the interface effect. Furthermore, the coupled PD-CSPM overcomes the challenge that stress boundary cannot be directly applied on CSPM-based models. In addition, PD-CSPM is capable of eliminating the limitation of Poisson's ratio imposed by the bond-based PD method. By simulating the deformation and failure behaviors of structures, the performance of PD-CSPM is verified and validated by the experimental observation and the numerical results obtained using other methods (the classic finite element method (FEM), extended finite element method (XFEM), and phase field method). Using the developed method, we successfully simulated fracture and failure behaviors of structures with irregular grids.