An explicit representation of cracks in the variational phase field method for brittle fractures
文献类型：期刊论文
| 作者 | Yang, Liang3,4; Yang, Yongtao4; Zheng, Hong2; Wu, Zhijun1 |
| 刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 出版日期 | 2021-12-15 |
| 卷号 | 387页码:30 |
| 关键词 | Phase field method Numerical manifold method Discontinuous displacement field Crack propagation Explicit crack Crack opening displacement |
| ISSN号 | 0045-7825 |
| DOI | 10.1016/j.cma.2021.114127 |
| 英文摘要 | The phase field method (PFM) by means of regularization fractures has become a promising and popular method for complex crack propagation, especially in geotechnical applications. Attractive as it is, a challenge exists for the PFM to obtain explicit representation of cracks and jump displacement field across cracks that are essential and crucial for some applications, e.g., hydraulic fracturing, leakage problems, and contact problems. In the present paper, an algorithm in which the values of phase field are regarded as the indicator to identify crack paths is proposed. Then physical patches are cut by the reconstructed crack paths to obtain explicit cracks and jump displacement field in the context of the numerical manifold method (NMM). The numerical examples investigate that various explicit cracks, including a straight crack, a curve crack, the branching cracks, and the merging cracks, predicted by the proposed method are in good agreement with the literature. Besides, the Sneddon's example verifies that the discontinuous displacement field across explicit cracks is in line with the closed form solution. The proposed numerical model deserves a further investigation. (C) 2021 Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[12072357] ; National Natural Science Foundation of China[51538001] ; Youth Innovation Promotion Association of Chinese Academy of Sciences[2020327] |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000702651300001 |
| 出版者 | ELSEVIER SCIENCE SA |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/28536]  |
| 专题 | 中科院武汉岩土力学所 |
| 通讯作者 | Yang, Yongtao |
| 作者单位 | 1.Wuhan Univ, Sch Civil Engn, Wuhan 430072, Peoples R China 2.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Liang,Yang, Yongtao,Zheng, Hong,et al. An explicit representation of cracks in the variational phase field method for brittle fractures[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2021,387:30. |
| APA | Yang, Liang,Yang, Yongtao,Zheng, Hong,&Wu, Zhijun.(2021).An explicit representation of cracks in the variational phase field method for brittle fractures.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,387,30. |
| MLA | Yang, Liang,et al."An explicit representation of cracks in the variational phase field method for brittle fractures".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 387(2021):30. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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