A semi-analytical solution to the stress intensity factors of branched cracks | |
Liu ZE(刘卓尔); Wei YJ(魏宇杰) | |
刊名 | JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS |
2023-10-01 | |
卷号 | 179页码:105351 |
ISSN号 | 0022-5096 |
DOI | 10.1016/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. |
内容类型 | 期刊论文 |
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} 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. |
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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