Modelling of cracks with frictional contact based on peridynamics

Abstract

In this study, a two-dimensional peridynamic contact model is proposed to model the propagation of frictional crack within the peridynamic framework. Compared with traditional numerical method in peridynamics, no additional algorithm is needed for implementing the contact constraint. The geometry of the crack can be easily described by the rupture of bond without any extra enrichment functions. In this model, the contact force is regarded as a short-range force and only related to the stretch of the virtual bond between the disconnected material points. The sliding of the plates under compression and the plate with a pre-existing crack under compressive loading have been simulated to validate the accuracy of the peridynamic contact model. By introducing the bond skew failure criterion, the propagation of the frictional crack is modelled as well. The growth path of the crack matches the numerical result obtained based on the phase field method. Therefore, peridynamics can be demonstrated as an effective numerical tool to solve the frictional contact problem.