KMS Of Academy of mathematics and systems sciences, CAS
Some studies on mathematical models for general elastic multi-structures | |
Huang, JG; Shi, ZC; Xu, YF | |
2005-07-01 | |
Source Publication | SCIENCE IN CHINA SERIES A-MATHEMATICS |
ISSN | 1006-9283 |
Volume | 48Issue:7Pages:986-1007 |
Abstract | 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. |
Keyword | elastic multi-structures mathematical models unique solvability generalized Korn's inequality equilibrium equations |
DOI | 10.1360/04ys0196 |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000230546100010 |
Publisher | SCIENCE PRESS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/1580 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Huang, JG |
Affiliation | 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 |
Recommended Citation 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. |
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