Stress solution of multiple elliptic hole problem in plane elasticity

doi:10.1061/(ASCE)0733-9399

	Stress solution of multiple elliptic hole problem in plane elasticity
	Zhang, LQ ; Yue, ZQ ; Lee, CF ; Tham, LG ; Yang, ZF
刊名	JOURNAL OF ENGINEERING MECHANICS-ASCE
	2003-12-01
卷号	129 期号:12 页码:1394-1407
关键词	elasticity holes stress analysis stress concentration computation
ISSN号	0733-9399
DOI	10.1061/(ASCE)0733-9399
文献子类	Article
英文摘要	Using Schwarz's alternating method and Muskhelishvili's complex variable function techniques, this paper presents an iterative algorithm method for the effective and accurate calculation of the stresses in an elastic solid of infinite extent containing multiple elliptic holes and subject to external loading at the infinity. The elliptic holes can have different dimensions and locate at any points while their axis orientations must be orthogonal. The proposed iterative algorithm method is based on the approximation of the resultant force vector on each elliptic hole boundary as a series of complex variable. As a result, exact closed-form analytical stress solutions can then be obtained for the solid with a single elliptic hole whose boundary is subject to the reverse resultant force vector in the forms of complex series. The numerical results presented in the paper show that the iterative solution converges quickly and stably. The proposed convergent criterion ensures the satisfaction of the required accuracy of the stress results. The stress concentration at elliptic holes can then be evaluated with high accuracy.
WOS关键词	2 CIRCULAR HOLES ; TANGENTIAL STRESSES ; INFINITE PLATE ; ELASTOSTATICS
WOS研究方向	Engineering
语种	英语
出版者	ASCE-AMER SOC CIVIL ENGINEERS
WOS记录号	WOS:000186721300004
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/78773]
专题	中国科学院地质与地球物理研究所
通讯作者	Zhang, LQ
作者单位	1.Chinese Acad Sci, Inst Geol & Geophys, Beijing, Peoples R China 2.Univ Hong Kong, Dept Civil Engn, Hong Kong, Hong Kong, Peoples R China 3.Chinese Acad Sci, Inst Geol & Geophys, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhang, LQ,Yue, ZQ,Lee, CF,et al. Stress solution of multiple elliptic hole problem in plane elasticity[J]. JOURNAL OF ENGINEERING MECHANICS-ASCE,2003,129(12):1394-1407.
APA	Zhang, LQ,Yue, ZQ,Lee, CF,Tham, LG,&Yang, ZF.(2003).Stress solution of multiple elliptic hole problem in plane elasticity.JOURNAL OF ENGINEERING MECHANICS-ASCE,129(12),1394-1407.
MLA	Zhang, LQ,et al."Stress solution of multiple elliptic hole problem in plane elasticity".JOURNAL OF ENGINEERING MECHANICS-ASCE 129.12(2003):1394-1407.