Implementation of GTN Model in Dual-horizon Peridynamics

In this paper we present a dual-horizon peridynamics (DH-PD) for ductile fracture. The dual-horizon non-ordinary state-based PD is derived based on variational calculus and accounts for large deformation. The GTN model is employed to model the bulk behavior while DH-PD can naturally capture the transition from continuum to discontinuum. The penalty method is employed to suppress the zero-energy mode. Three numerical examples in three-dimensional are tested to demonstrate the capability of the method.