LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS
文献类型：期刊论文
| 作者 | Yao, Peng-Fei1,2
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2019 |
| 卷号 | 51期号:2页码:1387-1435 |
| 关键词 | hyperbolic surface shell nonlinear elasticity Riemannian geometry |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/18M118181X |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000466423200003 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34584]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yao, Peng-Fei |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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