| An analytical solution to the stress fields of kinked cracks | |
Liu ZE(刘卓尔)1,2; Wei YJ(魏宇杰)1,2
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| Corresponding Author | Wei, Yujie([email protected]) |
| Source Publication | JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
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| 2021-11-01 | |
| Volume | 156Pages:18 |
| ISSN | 0022-5096 |
| Abstract | Propagating cracks may deflect due to dynamic instability, running into pre-existing weak regions of heterogeneous media, or encountering variation in driving forces. The mechanical analysis of a kinked crack is of engineering significance for safety control and crack-network formation. Existing theories for kinked cracks relied on the perturbation method, as befit small kinks. The stress intensity factors (SIFs) are valid in the close proximity of the primary crack tip. As to the stress field of a kinked crack, it remains unsolved so far. In this work we develop an analytical solution to the stress fields of kinked cracks. By employing the conformal mapping and the Muskhelishvili approach, the close-form solution works for arbitrarily sized kinked cracks. The analytical theory is then validated using finite-element simulations. With this prior knowledge, we analyze the dependence of crack deflection on loading conditions, critical energy release rate, and the geometry of a kinked crack. We further demonstrate that such an analytical approach paves the way to obtain the solution of multiple-kinked cracks. |
| Keyword | Kinked cracks Stress fields Stress intensity factors Crack deflection Fracture mechanics |
| DOI | 10.1016/j.jmps.2021.104619 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000697317000002 |
| WOS Keyword | ENERGY-RELEASE RATE ; FRACTURE-NETWORK PROPAGATION ; HYDRAULIC FRACTURES ; INTENSITY FACTORS ; KINKING ; DEFLECTION ; GROWTH ; INITIATION ; INTERFACE |
| WOS Research Area | Materials Science ; Mechanics ; Physics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter |
| Funding Project | NSFC[11988102] ; NSFC[11790291] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22020200] ; CAS Center for Excellence in Complex System Mechanics |
| Funding Organization | NSFC ; Strategic Priority Research Program of the Chinese Academy of Sciences ; CAS Center for Excellence in Complex System Mechanics |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Wei, Yujie |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/87454 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Liu ZE,Wei YJ. An analytical solution to the stress fields of kinked cracks[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2021,156:18.Rp_Au:Wei, Yujie |
| APA | 刘卓尔,&魏宇杰.(2021).An analytical solution to the stress fields of kinked cracks.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,156,18. |
| MLA | 刘卓尔,et al."An analytical solution to the stress fields of kinked cracks".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 156(2021):18. |
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| Jp2021F399.pdf（3434KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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