An improved implicit non-ordinary state-based peridynamics model for modeling crack propagation and coalescence problems

Abstract

A quasi-static solution for crack propagation and coalescence can provide an efficient way to predict both structure failure load and fracture pattern morphology. This paper proposes an improved implicit static non-ordinary state-based peridynamics (IINOSB-PD) solution procedure to study crack propagation problems through incorporating a stress-based criterion into the model. The comprehensive discretized processes and the approach to mitigate numerical oscillation are presented in this manuscript. A parameter sensitivity analysis is first performed to evaluate the effects of uncertain parameters in this procedure on numerical output. Subsequently, four numerical examples are investigated using the proposed IINOSB-PD to validate this procedure. The research findings indicate that the proposed IINOSB-PD can not only accurately predict material crack propagation and coalescence processes but also reduce the programming difficulties and avoid the traditional singular problem. These results provide valuable insights for the application of the IINOSB-PD method in related fields.