Dynamic fracture analysis by explicit solid dynamics and implicit crack propagation
Dynamic fracture analysis by explicit solid dynamics and implicit crack propagation
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DOI：
10.1016/j.ijsolstr.2017.01.035
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发表时间：
2017-04
影响因子：
3.6
通讯作者：
Timothy Crump;G. Ferté;A. Jivkov;P. Mummery;V. Tran
中科院分区：
文献类型：
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作者：
Timothy Crump;G. Ferté;A. Jivkov;P. Mummery;V. Tran
将时变结构载荷与动态裂纹扩展相结合是断裂力学早期就一直在考虑的问题。在这里，我们考虑了一种处理这一问题的方法，它结合了集值开孔率相关的内聚律、准显式求解器和表示裂纹的扩展有限元方法。该方法允许扩展的裂纹是网格无关的，同时也通过准显式求解器动态地通知。在玻璃(高沸石-100)和聚甲基丙烯酸甲酯(PMMA)上成功地模拟了几个成熟的实验，并与现有的解析解和其他方法进行了比较，直到实验观察到的分支速度。这种比较突出了通过隐式处理扩展的唯象裂纹尖端来确保能量全局守恒的稳健性，同时利用显式处理全局动力学的计算效率。
Combining time-dependent structural loading with dynamic crack propagation is a problem that has been under consideration since the early days of fracture mechanics. Here we consider a method to deal with this issue, which combines a set-valued opening-rate-dependent cohesive law, a quasi-explicit solver and the eXtended Finite Element Method of representing a crack. The approach allows a propagating crack to be mesh-independent while also being dynamically informed through a quasi-explicit solver. Several well established experiments on glass (Homolite-100) and Polymethyl methacrylate (PMMA) are successfully modelled and compared against existing analytical solutions and other approaches in 2D up until the experimentally observed branching speeds. The comparison highlights the robustness of ensuring energy is conserved globally by treating a propagating phenomenological crack-tip implicitly, while taking advantage of the computational efficiency of treating the global dynamics explicitly.