Modeling of Dynamic Crack Propagation Under Quasistatic Loading

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Modeling of Dynamic Crack Propagation Under Quasistatic Loading

Kazarinov, Nikita / Petrov, Yuriy / Benin, Andrey

The paper considers a numerical study of the dynamic crack propagation in samples subjected to static loading. Experiments on dynamic crack propagation in samples of PMMA (polymethylmethacrylate) due to quasistatic stretching were simulated. The position of the crack tip and the current crack velocity were recorded in the experiments. The study showed that the ultimate crack velocity was significantly lower than the theoretically evaluated limiting value. An unstable behavior of the crack velocity was also found: the crack velocity oscillations were observed, with the amplitude of the oscillations increasing as the crack grows. In order to simulate the experiments, a numerical scheme was developed. The scheme is based on the finite element method and the structural-temporal fracture criterion. According to this criterion, the fracture scale level is set (namely, the minimum value of the crack advancement is introduced), and the characteristic fracture time is used – the incubation time parameter, which is considered to be a material parameter. This approach provides possibility to numerically obtain the discussed experimental results including considerable crack velocity oscillations.