Some studies on mathematical models for general elastic multi-structures
文献类型：期刊论文
| 作者 | Huang, JG; Shi, ZC; Xu, YF |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2005-07-01 |
| 卷号 | 48期号:7页码:986-1007 |
| 关键词 | elastic multi-structures mathematical models unique solvability generalized Korn's inequality equilibrium equations |
| ISSN号 | 1006-9283 |
| DOI | 10.1360/04ys0196 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000230546100010 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1579]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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