A meshless Cracking Particles Approach for ductile fracture

We present a meshless Crack Particles Approach (CPM) for ductile material failure. Material failure is modeled by enrichment of the meshless shape functions in the CPM where the crack is described as set of plane crack facets passing through the entire domain of influence of the meshless node. The CPM does not require any geometrical description of the crack surface. The Gurson-Tvergaard-Needleman (GTN) model is used to describe the constitutive material in the intact continuum. The onset of unstable material behavior is modeled by the loss-of-material-stability criterion. The approach is applied to two benchmark examples demonstrating the excellent accuracy of the proposed framework.