A dissipation informed peridynamic model for dynamic brittle fracture

Abstract

In this paper, we propose a dissipation informed peridynamic (PD) model for dynamic brittle fracture. The viscosity is introduced in for dissipation compensation to recover the physical mechanism of fracture. The general type of deformation in solids is considered and the bulk viscosity force state is nonlocally constructed from the bond level as a minimum variation of conventional PD. Rather than adjusting the artificial coefficient, the signal processing method, i.e. the wavelet method is employed for viscosity evolution. With the wavelet method, the spurious stress waves can be identified and the dissipation deficiency can be naturally quantified. The proposed model is then verified by a rigorous validation simulation against the experiment results, which is still missing in the PD literature. The real loading condition is modeled to reproduce the ‘quasi-steady-state crack propagation’ problem and twenty different cases are included to cover the whole fracture stage. The results demonstrate that the model is capable to recover the physical mechanism and capture the dynamic brittle fracture. New insights into the dynamic brittle fracture are also gained by investigating the viscosity effect and deriving the crack motion equation.