A Phase Field Model for Three‐Dimensional Dynamic Fracture and its Efficient Numerical Implementation
A Phase Field Model for Three‐Dimensional Dynamic Fracture and its Efficient Numerical Implementation
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三维动态断裂相场模型及其高效数值实现
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
C. Miehé
中科院分区：
文献类型：
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作者：
M. Hofacker;C. Miehé
固体中的动态失效机制的数值模拟，由于断裂的基础上尖锐的裂纹不连续性遭受复杂的裂纹拓扑结构的情况下，需要制定额外的分支标准。这个缺点可以克服的扩散裂纹建模，这是基于裂纹相场的引入。我们专注于扩展最近开发的相场模型断裂从准静态设置到动态设置。它是通过考虑惯性项和相关的动态积分。引入包含最大断裂驱动能的历史场，提供了控制扩散裂纹拓扑的平衡方程的非常透明的表示。特别是，它允许一个非常强大的运营商分裂技术的建设。在随后的步骤中，所提出的模型扩展到三维问题。动态处理打开了大门，复杂的断裂现象，如多裂纹分支和裂纹止裂的分析。（© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA，魏因海姆）
The numerical modeling of dynamic failure mechanisms in solids due to fracture based on sharp crack discontinuities suffers in situations with complex crack topologies and demands the formulation of additional branching criteria. This drawback can be overcome by a diffusive crack modeling, which is based on the introduction of a crack phase field. We focus on the extension of a recently developed phase field model for fracture from the quasi‐static setting towards the dynamic setting. It is obtained by taking into account inertial terms and associated dynamic integrators. The introduction of a history field, containing a maximum fracture‐driving energy, provides a very transparent representation of the balance equation that governs the diffusive crack topology. In particular, it allows for the construction of an extremely robust operator split technique. In a subsequent step, the proposed model is extended to three dimensional problems. The dynamic treatment opens the door to the analysis of complex fracture phenomena like multiple crack branching and crack arrest. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)