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A Phase-Field Fracture Model for Brittle Anisotropic Materials
Zhiheng Luo1, Lin Chen2, Nan Wang1, Bin Li1,*
1 Guangdong Technion-Israel Institute of Technology, Shantou, 515063, China
2 Northeastern University, Shenyang, 110819, China
* Corresponding Author: Bin Li. Email:
The International Conference on Computational & Experimental Engineering and Sciences 2023, 25(4), 1-1. https://doi.org/10.32604/icces.2022.08813
Abstract
Anisotropy is inherent in many materials, either because of the manufacturing process, or due to their
microstructure, and can markedly influence the failure behavior. Anisotropic materials obviously possess
both anisotropic elasticity and anisotropic fracture surface energy. Phase-field methods are elegant and
mathematically well-grounded, and have become popular for simulating isotropic and anisotropic brittle
fracture. Here, we developed a variational phase-field model for strongly anisotropic fracture, which
accounts for the anisotropy both in elastic strain energy and in fracture surface energy, and the asymmetric
behavior of cracks in traction and in compression. We implement numerically our higher-order phase-field
model with mixed finite element, inspired by formulations for plate/shell elements, where similar continuity
requirements exist. For strongly anisotropic materials, as reported in the recent experiments, one could
obtain several crack propagation directions for a given loading configuration, depending on imperfections
of the initial crack. From an energy point of view, the selection of crack propagation direction is dictated by
local principle of the generalized maximum energy release rate. Herein, for the first time we examine
numerically this local principle, reproduce the crack behaviors observed in recent experiments. Numerical
simulations exhibit all the features of strongly anisotropic fracture.
Keywords
Cite This Article
APA Style
Luo, Z., Chen, L., Wang, N., Li, B. (2023). A phase-field fracture model for brittle anisotropic materials. The International Conference on Computational & Experimental Engineering and Sciences, 25(4), 1-1. https://doi.org/10.32604/icces.2022.08813
Vancouver Style
Luo Z, Chen L, Wang N, Li B. A phase-field fracture model for brittle anisotropic materials. Int Conf Comput Exp Eng Sciences . 2023;25(4):1-1 https://doi.org/10.32604/icces.2022.08813
IEEE Style
Z. Luo, L. Chen, N. Wang, and B. Li "A Phase-Field Fracture Model for Brittle Anisotropic Materials," Int. Conf. Comput. Exp. Eng. Sciences , vol. 25, no. 4, pp. 1-1. 2023. https://doi.org/10.32604/icces.2022.08813