An analytical solution to the stress fields of kinked cracks

doi:10.1016/j.jmps.2021.104619

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	An analytical solution to the stress fields of kinked cracks
	Liu ZE(刘卓尔)1,2; Wei YJ(魏宇杰)1,2
刊名	JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
	2021-11-01
卷号	156 页码:18
关键词	Kinked cracks Stress fields Stress intensity factors Crack deflection Fracture mechanics
ISSN号	0022-5096
DOI	10.1016/j.jmps.2021.104619
通讯作者	Wei, Yujie(yujie_wei@lnm.imech.ac.cn)
英文摘要	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.
分类号	一类/力学重要期刊
资助项目	NSFC[11988102] ; NSFC[11790291] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22020200] ; CAS Center for Excellence in Complex System Mechanics
WOS关键词	ENERGY-RELEASE RATE ; FRACTURE-NETWORK PROPAGATION ; HYDRAULIC FRACTURES ; INTENSITY FACTORS ; KINKING ; DEFLECTION ; GROWTH ; INITIATION ; INTERFACE
WOS研究方向	Materials Science ; Mechanics ; Physics
语种	英语
WOS记录号	WOS:000697317000002
资助机构	NSFC ; Strategic Priority Research Program of the Chinese Academy of Sciences ; CAS Center for Excellence in Complex System Mechanics
其他责任者	Wei, Yujie
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/87453]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China;
推荐引用方式 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.
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.