A novel peridynamics refinement method with dual-horizon peridynamics

Abstract

A novel adaptive refinement method is proposed for ordinary state-based PD in both 2D and 3D simulation. We perform an efficient adaptive refinement by splitting a parent particle into several child particles directly which does not require any information from its adjacent particles. The state variables and neighbor list of the child particles can be obtained directly from their parent particles, so that the proposed adaptive refinement method is very efficient and can be easily applied in both 2D and 3D cases without complex adjacent particle list building. To maintain simulation accuracy, the deformation of the parent particles need to be taken into consideration in the refinement process. Therefore, the accumulated strain of a PD particle is defined to calculate the position vector of its child particles in current configuration. With the consideration of the deformation of the parent particle, the fake damage is avoid. And a new criterion is established based on the particle accumulated strain to efficiently determine the particles need to be refined. The numerical examples studied show that the proposed adaptive refinement correctly captures the complicated crack propagation process and eliminates the fake crack growth with slight extra simulation cost, compared to the coarse discretization.