中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
A finite element method for investigating general elastic multi-structures

文献类型:期刊论文

作者Huang, Jianguo; Guo, Ling; Shi, Zhongci
刊名COMPUTERS & MATHEMATICS WITH APPLICATIONS
出版日期2007-06-01
卷号53期号:12页码:1867-1895
关键词elastic multi-structures finite elements generalized Korn's inequality unique solvability error estimates
ISSN号0898-1221
DOI10.1016/j.camwa.2006.08.048
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000248069200009
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/4922]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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