Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 391, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2022.114580
Keywords
Phase field model; Ductile fracture; Fracture criteria; Stress state; Plastic anisotropy; Crack driving force
Funding
- Australian Research Council (ARC) Discovery scheme [DP190103752]
- FEIT Scholarship at the University of Technology Sydney
- IRS Scholarship at the University of Technology Sydney
- ARC Discovery Early Career Research Award [DE210101676]
- National Science Foundation of China [51805123]
- Australian Research Council [DE210101676] Funding Source: Australian Research Council
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In this study, a new phase field approach is proposed to analyze the fracture behavior of ductile materials by considering the effects of stress triaxiality and Lode angle, and incorporating phenomenological ductile fracture criteria. The effectiveness of the proposed models is demonstrated through numerical implementation and derivation of analytical homogeneous solutions, and their applicability is further validated through a wide range of stress state examples.
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. (c) 2022 Elsevier B.V. All rights reserved.
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