裂纹撞击界面问题的再探讨：脆性断裂相场方法与界面内聚区模型相互作用的建模框架
Revisiting the problem of a crack impinging on an interface: a modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model
摘要：
由于裂纹在固体力学和物理学中的重要作用，近三十年来，人们对裂纹撞击界面问题进行了深入的研究。在这项调查中，这个问题是重新考虑的脆性断裂相场方法的最新进展。在这方面，一种新的配方相结合的方法建模脆性断裂的散装和一个凝聚力区模型预先存在的粘合剂界面，本文提出了调查之间的竞争裂纹穿透和偏转的接口。该模型，使用单片全隐式的解决方案的有限元方法框架内实施，应用于提供进一步了解模型参数对上述竞争的作用。特别是，在这项研究中，断裂韧性比之间的界面和相邻的散装和耗散模型的特征长度尺度的作用进行了分析。在脆性界面的情况下，裂纹穿透，单偏转或双偏转的线弹性断裂力学准则的基础上的渐近预测完全捕获本方法。此外，通过增加沿界面的处理区的大小，或通过改变相场模型的内部长度尺度，新的复杂现象正在出现，如同时裂纹穿透和偏转以及从单个裂纹穿透到偏转和穿透的过渡，随后分支到本体中。
英文摘要：
The problem of a crack impinging on an interface has been thoroughly investigated in the last three decades due to its important role in the mechanics and physics of solids. In this investigation, this problem is revisited in view of the recent progresses on the phase field approach to brittle fracture. In this concern, a novel formulation combining the phase field approach for modeling brittle fracture in the bulk and a cohesive zone model for pre-existing adhesive interfaces is herein proposed to investigate the competition between crack penetration and deflection at an interface. The model, implemented within the finite element method framework using a monolithic fully implicit solution strategy, is applied to provide a further insight into the understanding of the role of model parameters on the above competition. In particular, in this study, the role of the fracture toughness ratio between the interface and the adjoining bulks and the characteristic fracture-length scales of the dissipative models are analyzed. In the case of a brittle interface, the asymptotic predictions based on linear elastic fracture mechanics criteria for crack penetration, single deflection or double deflection are fully captured by the present method. Moreover, by increasing the size of the process zone along the interface, or by varying the internal length scale of the phase field model, new complex phenomena are emerging, such as simultaneous crack penetration and deflection and the transition from single crack penetration to deflection and penetration with subsequent branching into the bulk.
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