论文标题
用于动态裂缝的相场方法的异步变分积分器
An asynchronous variational integrator for the phase field approach to dynamic fracture
论文作者
论文摘要
由于缺乏跟踪裂纹拓扑结构的需要以及预测裂纹成核和分支的能力，相位场方法被广泛用于模拟断裂行为。在这项工作中，异步变异积分器（AVI）适用于动态脆性裂缝的相位场方法。 AVI源自汉密尔顿的原则，允许网格中的每个元素都具有自己的本地时间步骤，可能与他人不同。当显式更新位移字段时，相位字段被隐式解决，上限和下限严格且方便地执行。特别是，AT1和AT2变体同样容易实现。三个基准问题用于研究AT1和AT2模型的性能，结果表明，相位场方法的AVI显着加快了计算效率，并成功捕获了复杂的动态断裂行为。
The phase field approach is widely used to model fracture behaviors due to the absence of the need to track the crack topology and the ability to predict crack nucleation and branching. In this work, the asynchronous variational integrators (AVI) is adapted for the phase field approach of dynamic brittle fractures. The AVI is derived from Hamilton's principle and allows each element in the mesh to have its own local time step that may be different from others'. While the displacement field is explicitly updated, the phase field is implicitly solved, with upper and lower bounds strictly and conveniently enforced. In particular, the AT1 and AT2 variants are equally easily implemented. Three benchmark problems are used to study the performances of both AT1 and AT2 models and the results show that AVI for phase field approach significantly speeds up the computational efficiency and successfully captures the complicated dynamic fracture behavior.
