Finite element analysis for general elastic multi-structures

doi:10.1007/s11425-005-0118-x

CSpace

	Finite element analysis for general elastic multi-structures
	Huang, JG ; Shi, ZC ; Xu, YF
	2006
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	49 期号:1 页码:109-129
摘要	A finite element method is introduced to solve the general elastic multi-structure problem, in which the displacements on bodies, the longitudinal displacements on plates and the longitudinal displacements on beams are discretized using conforming linear elements, the rotational angles on beams are discretized using conforming elements of second order, the transverse displacements on plates and beams are discretized by the Morley elements and the Hermite elements of third order, respectively. The generalized Korn's inequality is established on related nonconforming element spaces, which implies the unique solvability of the finite element method. Finally, the optimal error estimate in the energy norm is derived for the method.
关键词	elastic multi-structures finite elements generalized Korn's inequality unique solvability error estimates
DOI	10.1007/s11425-005-0118-x
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000235670200009
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3022
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, JG
作者单位	1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China 2.Shanghai Normal Univ, Div Computat Sci, E Inst Shanghai Univ, Shanghai 200234, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Huang, JG,Shi, ZC,Xu, YF. Finite element analysis for general elastic multi-structures[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(1):109-129.
APA	Huang, JG,Shi, ZC,&Xu, YF.(2006).Finite element analysis for general elastic multi-structures.SCIENCE IN CHINA SERIES A-MATHEMATICS,49(1),109-129.
MLA	Huang, JG,et al."Finite element analysis for general elastic multi-structures".SCIENCE IN CHINA SERIES A-MATHEMATICS 49.1(2006):109-129.