Lower bound limit analysis by quadrilateral elements

doi:10.1016/j.cam.2016.11.024

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	Lower bound limit analysis by quadrilateral elements
	Li, Chunguang 2; Sun, Cong 1; Li, Cuihua 2,3; Zheng, Hong 2
刊名	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
	2017
卷号	315 页码:319-326
关键词	Limit analysis Lower bound Finite element Quadrilateral element Week form Boundary integral
ISSN号	0377-0427
DOI	10.1016/j.cam.2016.11.024
英文摘要	This paper presents a quadrilateral element formulation of lower bound theorem. The formulation uses a four-noded quadrilateral element. The weak form of the equilibrium equations is performed to linearize the equilibrium equations. By Green's theorem, the integral over quadrilateral element are transformed into boundary integral over the element boundary. The major advantage of using quadrilateral element, rather than triangular element, is that more accurate lower bound can be obtained with the same element size. Two numerical examples are given to illustrate the capability of the new method for computing lower bound. The accuracy of the quadrilateral element formulation is compared with that of three-noded triangular element formulation in detail. (C) 2016 Elsevier B.V. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000392039300023
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/4044]
专题	岩土力学所知识全产出_期刊论文国家重点实验室知识产出_期刊论文
作者单位	1.Wuhan Municipal Construct Grp Co Ltd 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ; 3.Hubei Water Resources Tech Coll ;
推荐引用方式 GB/T 7714	Li, Chunguang,Sun, Cong,Li, Cuihua,et al. Lower bound limit analysis by quadrilateral elements[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2017,315:319-326.
APA	Li, Chunguang,Sun, Cong,Li, Cuihua,&Zheng, Hong.(2017).Lower bound limit analysis by quadrilateral elements.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,315,319-326.
MLA	Li, Chunguang,et al."Lower bound limit analysis by quadrilateral elements".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 315(2017):319-326.