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

文献类型：期刊论文

作者Liu ZE(刘卓尔); Wei YJ(魏宇杰)
刊名JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
出版日期2023-10-01
卷号179页码:105351
ISSN号0022-5096
DOI10.1016/j.jmps.2023.105351
英文摘要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.
分类号一类/力学重要期刊
WOS研究方向Materials Science ; Mechanics ; Physics
语种英语
WOS记录号WOS:001029752300001
资助机构NSFC Basic Science Center for Multiscale Problems in Nonlinear Mechanics' [11988102]
其他责任者Wei, YJ (corresponding author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China.
源URL[http://dspace.imech.ac.cn/handle/311007/92559]  
专题力学研究所_非线性力学国家重点实验室
作者单位1.{Liu, Zhuo-Er, Wei, Yujie} Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
2.{Liu, Zhuo-Er, Wei, Yujie} Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China
3.{Wei, Yujie} Eastern Inst Adv Study EIAS, Ningbo 315200, Zhejiang, 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.
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.

入库方式： OAI收割

来源：力学研究所

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