Phase field fracture in elasto-plastic solids: Incorporating phenomenological failure criteria for ductile materials
Phase field fracture in elasto-plastic solids: Incorporating phenomenological failure criteria for ductile materials
复制标题
弹塑性固体中的相场断裂：纳入延性材料的现象学失效准则
DOI：
10.1016/j.cma.2022.114580
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发表时间：
2022-03
期刊：
影响因子：
--
通讯作者：
Jianguang Fang
中科院分区：
文献类型：
--
作者：
Cunyi Li;Jianguang Fang
相场法已被发展用于分析韧性材料的破坏行为。在先前的相场模型中，通常将恒定的临界能量或应变阈值引入到驱动力的公式中，aiming.to避免在低水平的弹性和塑性变形下发生损伤。然而，它可能不足以描述材料在各种应力状态下的复杂韧性断裂行为。在这项研究中，一个新的相场方法是考虑应力三轴度和矿脉角的影响，通过结合唯象韧性断裂准则。proposed.to所提出的模型是用变分原理制定的，并在有限元框架中进行了数值计算。单轴拉伸、简单剪切和等双轴拉伸载荷的解析齐次解证明了所提出模型的有效性。三组数值例子，涵盖了广泛的应力状态，被用来进一步检查所提出的模型。结果表明，该模型可以再现的实验响应。在力-位移曲线，裂纹萌生，裂纹扩展在各种载荷条件下的试样。所提出的模型能够捕捉韧性材料断裂行为的应力状态依赖性。
Phase field approaches have been developed to analyze the failure behavior of ductile materials. In the previous phase field.models, a constant critical energy or strain threshold is commonly introduced to the formulation of the driving force, aiming.to avoid damage initiation at a low level of elastic and plastic deformations. However, it may not suffice to describe complex.ductile fracture behavior of materials subject to various stress states. In this study, a new phase field approach is proposed.to consider the effects of stress triaxiality and Lode angle, by incorporating phenomenological ductile fracture criteria. The.proposed models are formulated using variational principles and implemented numerically in the finite element framework..Analytical homogeneous solutions for uniaxial tension, simple shear, and equibiaxial tension loads are derived to demonstrate.the effectiveness of the proposed models. Three groups of numerical examples, covering a wide range of stress states, are.utilized to further examine the proposed models. The results show that the models can reproduce the experimental response.of the specimen in terms of force versus displacement curve, crack initiation, and crack propagation under various loading.conditions. The proposed models are able to capture the stress-state dependence of fracture behavior of ductile materials.
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