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LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS
Yao, Peng-Fei1,2
2019
Source PublicationSIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN0036-1410
Volume51Issue:2Pages:1387-1435
AbstractWe perform a detailed analysis of the solvability of linear strain equations on hyperbolic surfaces under a technical assumption (noncharacteristic). For regular enough hyperbolic surfaces, we prove that smooth infinitesimal isometrics are dense in the W-2,W-2 infinitesimal isometrics. Then the matching property for noncharacteristic regions is established; that is, smooth enough infinitesimal isometrics can be matched with higher-order infinitesimal isometrics. Those results are applied to the elasticity of thin shells for the Gamma-limits, where the recovery sequences for noncharacteristic regions are obtained when the elastic energy density scales like h(beta), beta is an element of (2,4), where h is the thickness of a shell.
Keywordhyperbolic surface shell nonlinear elasticity Riemannian geometry
DOI10.1137/18M118181X
Language英语
Funding ProjectNational Natural Science Foundation of China[61473126] ; National Natural Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000466423200003
PublisherSIAM PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34585
Collection系统科学研究所
Corresponding AuthorYao, Peng-Fei
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Yao, Peng-Fei. LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2019,51(2):1387-1435.
APA Yao, Peng-Fei.(2019).LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,51(2),1387-1435.
MLA Yao, Peng-Fei."LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 51.2(2019):1387-1435.
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