NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS

	NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS
	Chen Shaochun 1; Zheng Yanjun 1; Mao Shipeng2
	2011-05-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	31 期号:3 页码:815-825
摘要	In the use of finite element methods to the planar elasticity problems, one difficulty is to overcome locking when elasticity constant lambda -> infinity. In the case of traction boundary condition, another difficulty is to make the discrete Korn's second inequality valid. In this paper, a triangular element is presented. We prove that this element is locking-free, the discrete Korn's second inequality holds and the convergence order is two.
关键词	planar elasticity problems pure displacement and traction boundary conditions nonconforming finite element discrete Korn's second inequality
语种	英语
资助项目	NSFC[11071226]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000290843200006
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11804
专题	计算数学与科学工程计算研究所
通讯作者	Chen Shaochun
作者单位	1.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen Shaochun,Zheng Yanjun,Mao Shipeng. NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS[J]. ACTA MATHEMATICA SCIENTIA,2011,31(3):815-825.
APA	Chen Shaochun,Zheng Yanjun,&Mao Shipeng.(2011).NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS.ACTA MATHEMATICA SCIENTIA,31(3),815-825.
MLA	Chen Shaochun,et al."NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS".ACTA MATHEMATICA SCIENTIA 31.3(2011):815-825.