Numerical simulation of crack curving and branching in brittle materials under dynamic loads using the extended non-ordinary state-based peridynamics

In this paper, the stress-based failure criteria are implemented into the extended non-ordinary state-based peridynamics (NOSB-PD). When the mean stresses between the interacting material points satisfy the stress-based failure criteria, the breakage of bonds between the interacting material points occurs. The phenomena of crack curving and branching in brittle materials subjected to dynamic loads are investigated using the proposed method. A benchmark example and the Kalthoff-Winkler experiment are firstly simulated to prove the ability and accuracy of the proposed numerical method. Then, one single crack curving and branching in brittle materials subjected to dynamic biaxial loads are also simulated. The effects of geometric and loading conditions on crack curving and branching are studied. The present numerical results are in good agreement with the previous experimental and numerical results. Finally, the phenomena of multiple crack propagation, branching and coalescence under biaxial dynamic loads are also investigated. The effects of non-overlapping length on crack propagation, branching and coalescence under biaxial dynamic loads are analyzed.