Elastic fields of double branched and Kalthoff-Winkler cracks in a half-plane

doi:10.1016/j.jmps.2024.105546

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

	Elastic fields of double branched and Kalthoff-Winkler cracks in a half-plane
	Si, Yangjian 1,2; Wei, Yujie 1,2
刊名	JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
	2024-03-01
卷号	184 页码:24
关键词	Edge branched crack Kalthoff-Winkler crack Stress intensity factors Crack opening displacement Conformal mapping
ISSN号	0022-5096
DOI	10.1016/j.jmps.2024.105546
通讯作者	Wei, Yujie(yujie_wei@lnm.imech.ac.cn)
英文摘要	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.
资助项目	NSFC Basic Science Center for 'Multiscale Problems in Nonlinear Mechanics', China[11988102]
WOS关键词	STRESS-INTENSITY FACTORS ; FAILURE ; PERIDYNAMICS ; PROPAGATION ; ALGORITHM ; EQUATIONS ; EXTENSION ; MODEL ; STEEL ; CTOA
WOS研究方向	Materials Science ; Mechanics ; Physics
语种	英语
WOS记录号	WOS:001168059800001
资助机构	NSFC Basic Science Center for 'Multiscale Problems in Nonlinear Mechanics', China
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/94558]
专题	力学研究所_非线性力学国家重点实验室
通讯作者	Wei, Yujie
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	Si, Yangjian,Wei, Yujie. 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.
APA	Si, Yangjian,&Wei, Yujie.(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	Si, Yangjian,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.