| Semi-analytical solutions of kinked edge cracks | |
Si YJ(斯杨剑); Wei YJ(魏宇杰)
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| Source Publication | ENGINEERING FRACTURE MECHANICS
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| 2024-10 | |
| Volume | 309Pages:110392 |
| ISSN | 0013-7944 |
| Abstract | A surface crack may advance either by further penetrating inward or by kinking out in response to possible variations in driving force or material properties. This paper provides a general approach to solve the planar elastic boundary value problem (BVP) of a kinked edge crack in a half-space. Semi-analytical solutions to BVPs with far-field uniform tension and concentrated loads on the free surface are given. The solution enable us to derive related information for reliability analysis, including stress fields, stress intensity factors (SIFs), and crack opening displacement (COD). An extension to the Cotterell-Rice formula (Cotterell and Rice, 1980) on SIFs for infinitesimal kinks is supplied, which is applicable to cracks with kinked segments of arbitrary length. Zooming in on a broadly concerned BVP of a cross-coating crack in a coating-substrate with a kink in the interface, we show the SIFs of the kink tip following an empirical formula K-& lowast;=alpha exp(-beta(a)/(h))+K-infinity(& lowast;) as a/h>0.2, where a is the length of the interface segment and h the coating thickness, and K(infinity)(& lowast; )is the asymptotic solution by Thouless et al. (1987, 1989). The formula is in accord with existing solutions on the two asymptotic limits of the kinked part. |
| Keyword | Edge kinked crack Coating-substrate interface crack Stress intensity factors Conformal mapping |
| DOI | 10.1016/j.engfracmech.2024.110392 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001300464400001 |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Funding Organization | NSFC Basic Science Center for 'Multiscale Problems in Nonlinear Mechanics' {11988102] |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Wei YJ |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/97167 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Si YJ,Wei YJ. Semi-analytical solutions of kinked edge cracks[J]. ENGINEERING FRACTURE MECHANICS,2024,309:110392.Rp_Au:Wei YJ |
| APA | 斯杨剑,&魏宇杰.(2024).Semi-analytical solutions of kinked edge cracks.ENGINEERING FRACTURE MECHANICS,309,110392. |
| MLA | 斯杨剑,et al."Semi-analytical solutions of kinked edge cracks".ENGINEERING FRACTURE MECHANICS 309(2024):110392. |
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