KMS Of Academy of mathematics and systems sciences, CAS
| LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS | |
Yao, Peng-Fei1,2
| |
| 2019 | |
| Source Publication | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| ISSN | 0036-1410 |
| Volume | 51Issue:2Pages:1387-1435 |
| Abstract | We 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. |
| Keyword | hyperbolic surface shell nonlinear elasticity Riemannian geometry |
| DOI | 10.1137/18M118181X |
| Language | 英语 |
| Funding Project | National 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 Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000466423200003 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34585 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yao, Peng-Fei |
| Affiliation | 1.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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