Some studies on mathematical models for general elastic multi-structures

doi:10.1360/04ys0196

CSpace

	Some studies on mathematical models for general elastic multi-structures
	Huang, JG ; Shi, ZC ; Xu, YF
	2005-07-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	48 期号:7 页码:986-1007
摘要	The aim of this paper is to study the static problem about a general elastic multi-structure composed of an arbitrary number of elastic bodies, plates and rods. The mathematical model is derived by the variational principle and the principle of virtual work in a vector way. The unique solvability of the resulting problem is proved by the Lax-Milgram lemma after the presentation of a generalized Korn's inequality on general elastic multi-structures. The equilibrium equations are obtained rigorously by only assuming some reasonable regularity of the solution. An important identity is also given which is essential in the finite element analysis for the problem.
关键词	elastic multi-structures mathematical models unique solvability generalized Korn's inequality equilibrium equations
DOI	10.1360/04ys0196
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000230546100010
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/1580
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, E Inst Shanghai Univ, Div Computat Sci, Shanghai, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, JG,Shi, ZC,Xu, YF. Some studies on mathematical models for general elastic multi-structures[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2005,48(7):986-1007.
APA	Huang, JG,Shi, ZC,&Xu, YF.(2005).Some studies on mathematical models for general elastic multi-structures.SCIENCE IN CHINA SERIES A-MATHEMATICS,48(7),986-1007.
MLA	Huang, JG,et al."Some studies on mathematical models for general elastic multi-structures".SCIENCE IN CHINA SERIES A-MATHEMATICS 48.7(2005):986-1007.