An explicit representation of cracks in the variational phase field method for brittle fractures

doi:10.1016/j.cma.2021.114127

	An explicit representation of cracks in the variational phase field method for brittle fractures
	Yang, Liang 3,4; Yang, Yongtao 4; Zheng, Hong 2; Wu, Zhijun 1
刊名	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
	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
出版者	ELSEVIER SCIENCE SA
WOS记录号	WOS:000702651300001
内容类型	期刊论文
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.