A semi-analytical solution to the stress intensity factors of branched cracks

doi:10.1016/j.jmps.2023.105351

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	A semi-analytical solution to the stress intensity factors of branched cracks
	Liu ZE(刘卓尔); Wei YJ(魏宇杰)
发表期刊	JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
	2023-10-01
卷号	179 页码:105351
ISSN	0022-5096
摘要	Crack branching is ubiquitous in engineering practice, and it often takes place when a crack is subjected to dynamic stress fields, or runs into heterogeneous regions. The mechanical analysis of branched cracks is of great significance in safety analysis and crack-path engineering. In this work we developed a theoretical method to calculate the stress intensity factors (SIFs) of branched cracks. By employing both Schwarz-Christoffel mapping and Muskhelishvili approach, we present an asymptotic approximation for the conformal mapping and SIFs of arbitrary branched cracks are then readily derived. We further demonstrate the convenience of this analytical approach to obtain the SIFs of forked crack as well as four-branched cracks. The theoretical solutions are validated by using finite-element simulations. It is shown that the semi-analytical approach agrees well with the FEM calculations on SIFs. The analytical methods supply a general way to solve the SIFs and therefore the energy release rate of branched cracks. It can then be adopted to understand crack splitting and crack network engineering.
DOI	10.1016/j.jmps.2023.105351
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:001029752300001
WOS研究方向	Materials Science ; Mechanics ; Physics
WOS类目	Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter
项目资助者	NSFC Basic Science Center for Multiscale Problems in Nonlinear Mechanics' [11988102]
论文分区	一类/力学重要期刊
力学所作者排名	1
RpAuthor	Wei, YJ (corresponding author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China.
引用统计	被引频次：9[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/92559
专题	非线性力学国家重点实验室
作者单位	1.{Liu, Zhuo-Er, Wei, Yujie} Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China 2.{Wei, Yujie} Eastern Inst Adv Study EIAS, Ningbo 315200, Zhejiang, Peoples R China 3.{Liu, Zhuo-Er, Wei, Yujie} Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu ZE,Wei YJ. A semi-analytical solution to the stress intensity factors of branched cracks[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2023,179:105351.Rp_Au:Wei, YJ (corresponding author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China.
APA	刘卓尔,&魏宇杰.(2023).A semi-analytical solution to the stress intensity factors of branched cracks.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,179,105351.
MLA	刘卓尔,et al."A semi-analytical solution to the stress intensity factors of branched cracks".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 179(2023):105351.

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