Computation of stress intensity factors by the sub-region mixed finite element method of lines

doi:10.1007/s10338-007-0718-9

IMECH-IR > 力学所知识产出(1956-2008)

	Computation of stress intensity factors by the sub-region mixed finite element method of lines
	Yuan S(袁驷); Xu YJ(徐永君); Williams FW; Yuan, S (reprint author), Tsing Hua Univ, Dept Civil Engn, Beijing 100084, Peoples R China.
发表期刊	Acta Mechanica Solida Sinica
	2007
卷号	20 期号:2 页码:149-162
ISSN	0894-9166
摘要	Based on the sub-region generalized variational principle, a sub-region mixed version of the newly-developed semi-analytical 'finite element method of lines' (FEMOL) is proposed in this paper for accurate and efficient computation of stress intensity factors (SIFs) of two-dimensional notches/cracks. The circular regions surrounding notch/crack tips are taken as the complementary energy region in which a number of leading terms of singular solutions for stresses are used, with the sought SIFs being among the unknown coefficients. The rest of the arbitrary domain is taken as the potential energy region in which FEMOL is applied to obtain approximate displacements. A mixed system of ordinary differential equations (ODEs) and algebraic equations is derived via the sub-region generalized variational principle. A singularity removal technique that eliminates the stress parameters from the mixed equation system eventually yields a standard FEMOL ODE system, the solution of which is no longer singular and is simply and efficiently obtained using a standard general-purpose ODE solver. A number of numerical examples, including bi-material notches/cracks in anti-plane and plane elasticity, are given to show the generally excellent performance of the proposed method.
关键词	Stress Intensity Factors Finite Element Method Of Lines Sub-region Generalized Variational Principle Ordinary Differential Equation Solver Complete Eigen-solutions Boundary-value Odes V-notched Plates Collocation Software Multi-materials
DOI	10.1007/s10338-007-0718-9
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000248343800008
关键词[WOS]	COMPLETE EIGEN-SOLUTIONS ; BOUNDARY-VALUE ODES ; V-NOTCHED PLATES ; COLLOCATION SOFTWARE ; MULTI-MATERIALS
WOS研究方向	Materials Science ; Mechanics
WOS类目	Materials Science, Multidisciplinary ; Mechanics
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/33965
专题	力学所知识产出(1956-2008)
通讯作者	Yuan, S (reprint author), Tsing Hua Univ, Dept Civil Engn, Beijing 100084, Peoples R China.
推荐引用方式 GB/T 7714	Yuan S,Xu YJ,Williams FW,et al. Computation of stress intensity factors by the sub-region mixed finite element method of lines[J]. Acta Mechanica Solida Sinica,2007,20,2,:149-162.
APA	袁驷,徐永君,Williams FW,&Yuan, S .(2007).Computation of stress intensity factors by the sub-region mixed finite element method of lines.Acta Mechanica Solida Sinica,20(2),149-162.
MLA	袁驷,et al."Computation of stress intensity factors by the sub-region mixed finite element method of lines".Acta Mechanica Solida Sinica 20.2(2007):149-162.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
E186.pdf（241KB）			开放获取	--	浏览下载