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	Computation of stress intensity factors by the sub-region mixed finite element method of lines
	Yuan, Si ; Xu, Yongjun ; Williams, F. W.
	2010-05-11 ; 2010-05-11
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 Materials Science, Multidisciplinary Mechanics
中文摘要	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.
语种	英语 ; 英语
出版者	SPRINGER HEIDELBERG ; HEIDELBERG ; TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/27170]
专题	清华大学
推荐引用方式 GB/T 7714	Yuan, Si,Xu, Yongjun,Williams, F. W.. Computation of stress intensity factors by the sub-region mixed finite element method of lines[J],2010, 2010.
APA	Yuan, Si,Xu, Yongjun,&Williams, F. W..(2010).Computation of stress intensity factors by the sub-region mixed finite element method of lines..
MLA	Yuan, Si,et al."Computation of stress intensity factors by the sub-region mixed finite element method of lines".(2010).

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