Finite element analysis for general elastic multi-structures
Huang, JG; Shi, ZC; Xu, YF
AbstractA 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.
Keywordelastic multi-structures finite elements generalized Korn's inequality unique solvability error estimates
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000235670200009
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Document Type期刊论文
Corresponding AuthorHuang, JG
Affiliation1.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
Recommended Citation
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.
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