This article proposes an approach to resolve the dynamic fracture of brittle materials by incorporating eigenerosion into the material point method (MPM) framework. The eigenerosion approach links the crack propagation to energy conservation based on the variational theory of fracture mechanics. This idea closely resembles the conventional treatment for the phase‐field method. The major difference is that the effective energy release rate of each particle that controls the crack propagation is only calculated within its neighborhood domain for the eigenerosion approach. Because evaluation of the material's fracture behavior can be decoupled from the governing equations as a separate solution step, the eigenerosion scheme allows straightforward implementation into any standard MPM solver with minor modifications. In addition, a phantom‐node method is employed to handle the preexisting crack. With these settings, the proposed model can capture complex fracture behaviors. Several representative benchmark tests demonstrate the efficiency and validity of the proposed model.

中文翻译：

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用本征腐蚀增强材料点法进行动态脆性断裂

本文提出了一种通过将特征腐蚀纳入材料点方法（MPM）框架来解决脆性材料动态断裂的方法。本征腐蚀方法基于断裂力学的变分理论将裂纹扩展与能量守恒联系起来。这个想法与相场法的常规处理非常相似。主要区别在于，对于本征腐蚀方法，仅在其邻域内计算控制裂纹扩展的每个粒子的有效能量释放率。由于可以将材料的断裂行为评估与控制方程式分离开来作为一个单独的求解步骤，因此本征腐蚀方案允许在不做任何修改的情况下，直接实现到任何标准MPM求解器中。此外，采用幻影节点方法来处理先前存在的裂纹。通过这些设置，建议的模型可以捕获复杂的断裂行为。几个代表性的基准测试证明了该模型的有效性和有效性。