| Elastic fields of double branched and Kalthoff-Winkler cracks in a half-plane | |
Si YJ(斯杨剑)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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| 2024-03-01 | |
| Volume | 184Pages:24 |
| ISSN | 0022-5096 |
| Abstract | We demonstrate in this paper a combination of the Schwarz-Christoffel mapping and Muskhelishvili's approach with fractional function series in solving the elastic fields of a cracked half -plane, and zoom in on two typical problems, a double branched crack with two rays emanating from one point on the edge and two edge cracks spaced by a certain distance. Typical loading conditions are considered, including far -field uniform tensile stress and concentrated loads along either the tangential or the normal direction of the free surface. We supply a semianalytic solution to those boundary -value problems in the cracked half -plane, and validate the theory by comparing the theoretical results in terms of stress fields, stress intensity factors (SIFs) and crack opening displacement (COD) with those from finite -element simulations. The theoretical approach shows how two edge cracks may shield the stress intensity factors of each other in a quantitative manner. For the typical Kalthoff-Winkler cracks of length a and being spaced by a distance d, their SIFs KI decay with decreasing d, and KI = KI0-KI1[1-exp(-a/d)]. It converges to KI0-the SIF of a single edge crack when d approaches to infinity. Those observations and the theory approach itself provide a general way to analyze the mechanical consequence of edge cracks in engineering practice. |
| Keyword | Edge branched crack Kalthoff-Winkler crack Stress intensity factors Crack opening displacement Conformal mapping |
| DOI | 10.1016/j.jmps.2024.105546 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001168059800001 |
| WOS Keyword | STRESS-INTENSITY FACTORS ; FAILURE ; PERIDYNAMICS ; PROPAGATION ; ALGORITHM ; EQUATIONS ; EXTENSION ; MODEL ; STEEL ; CTOA |
| WOS Research Area | Materials Science ; Mechanics ; Physics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter |
| Funding Project | NSFC Basic Science Center for 'Multiscale Problems in Nonlinear Mechanics', China[11988102] |
| Funding Organization | NSFC Basic Science Center for 'Multiscale Problems in Nonlinear Mechanics', China |
| 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/311007/94559 |
| 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 | Si YJ,Wei YJ. Elastic fields of double branched and Kalthoff-Winkler cracks in a half-plane[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2024,184:24.Rp_Au:Wei, Yujie |
| APA | 斯杨剑,&魏宇杰.(2024).Elastic fields of double branched and Kalthoff-Winkler cracks in a half-plane.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,184,24. |
| MLA | 斯杨剑,et al."Elastic fields of double branched and Kalthoff-Winkler cracks in a half-plane".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 184(2024):24. |
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