Numerical simulation of initiation, propagation and coalescence of cracks using the non-ordinary state-based peridynamics

The stress-based failure criterion is implemented into the non-ordinary state-based peridynamic model. The non-ordinary state-based peridynamic model is developed to simulate the initiation, propagation and coalescence process of cracks subjected to quasi-static and dynamic loads. Three-point-bending tests with a notch offset from the center of the beam are numerically conducted under quasi-static loads. The mode I fracture toughness of Kimachi sandstone has also been evaluated using the non-ordinary state-based peridynamic model by semi-circular bend. Moreover, the proposed method is applied to investigate the effects of arrays of cracks on propagation and coalescence process of multiple cracks subjected to dynamic loads. The numerical results are in good agreement with the previous experimental and numerical results. It is concluded that the non-ordinary state-based peridynamic model is able to analyze fracture problems.