A finite element method for investigating general elastic multi-structures

doi:10.1016/j.camwa.2006.08.048

	A finite element method for investigating general elastic multi-structures
	Huang, Jianguo ; Guo, Ling ; Shi, Zhongci
	2007-06-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	53 期号:12 页码:1867-1895
摘要	A finite element method is proposed for investigating the general elastic multi-structure problem, where displacements on bodies, longitudinal displacements on plates, longitudinal displacements and rotational angles on rods are discretized using conforming linear elements, transverse displacements on plates and rods are discretized respectively using TRUNC elements and Hermite elements of third order, and the discrete generalized displacement fields in individual elastic members are coupled together by some feasible interface conditions. The unique solvability of the method is verified by the Lax-Milgram, lemma after deriving generalized Korn's inequalities in some nonconforming element spaces on elastic multi-structures. The quasi-optimal error estimate in the energy norm is also established. Some numerical results are presented at the end. (C) 2007 Elsevier Ltd. All rights reserved.
关键词	elastic multi-structures finite elements generalized Korn's inequality unique solvability error estimates
DOI	10.1016/j.camwa.2006.08.048
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000248069200009
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4923
专题	计算数学与科学工程计算研究所
通讯作者	Huang, Jianguo
作者单位	1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 3.Shanghai Normal Univ, E Inst Shanghai Univ, Div Computat Sci, Nanjing 200234, Peoples R China
推荐引用方式 GB/T 7714	Huang, Jianguo,Guo, Ling,Shi, Zhongci. A finite element method for investigating general elastic multi-structures[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2007,53(12):1867-1895.
APA	Huang, Jianguo,Guo, Ling,&Shi, Zhongci.(2007).A finite element method for investigating general elastic multi-structures.COMPUTERS & MATHEMATICS WITH APPLICATIONS,53(12),1867-1895.
MLA	Huang, Jianguo,et al."A finite element method for investigating general elastic multi-structures".COMPUTERS & MATHEMATICS WITH APPLICATIONS 53.12(2007):1867-1895.