Simulation of dynamic fracture with the Material Point Method using a mixed J-integral and cohesive law approach
Simulation of dynamic fracture with the Material Point Method using a mixed J-integral and cohesive law approach
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DOI：
10.1007/s10704-011-9602-1
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发表时间：
2011-06
影响因子：
2.5
通讯作者：
S. Bardenhagen;J. Nairn;Hongbing Lu
中科院分区：
文献类型：
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作者：
S. Bardenhagen;J. Nairn;Hongbing Lu
一种新的断裂模拟方法被应用于动态断裂过程，其中韧性在裂纹尖端和可选的过程区之间分配。在这种方法中，经典断裂力学决定裂纹尖端扩展，而内聚力定律表征过程区响应，并确定裂纹根部和过程区扩展。该方法是在材质点方法中实现的，这是一种粒子方法，其中断裂路径不受贴体网格的约束。该方法适用于从脆性断裂到裂纹桥联断裂的一系列动态断裂过程的模拟。探索了各种分配韧性的方法，目的是通过实验测量，特别是R曲线来识别模型参数。虽然不存在唯一的关系，但一套材料上的R曲线或有效的R曲线将提供对模型参数的实质性洞察。在通用性和与实现数值断裂算法相关的实际问题方面，确定了该方法的优势。结果表明，该算法在动态断裂场景中表现良好。
A new approach to simulating fracture, in which toughness is partitioned between the crack tip and, optionally, a process zone, is applied to dynamic fracture processes. In this approach, classical fracture mechanics determines crack tip propagation, and cohesive laws characterize process zone response and determine crack root and process zone propagation. The approach is implemented in the Material Point Method, a particle method in which the fracture path is unconstrained by a body-fitted mesh. The approach is found suitable for modeling a range of dynamic fracture processes, from brittle fracture to fracture with crack bridging. A variety of ways of partitioning toughness are explored with the aim of distinguishing model parameters via experimental measurements, particularly R curves. While no unique relationship exists, R curves, or effective R curves, on a suite of materials would provide substantial insight into model parameters. Advantages to the approach are identified, both in versatility and in regards to practical matters associated with implementing numerical fracture algorithms. It is found to perform well in dynamic fracture scenarios.