KMS Of Academy of mathematics and systems sciences, CAS
| Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells | |
| Yao Pengfei1,2 | |
| 2021-01-12 | |
| Source Publication | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| ISSN | 1009-6124 |
| Pages | 17 |
| Abstract | The optimal exponentials of thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the shells. The author obtains that the lower bounds of the optimal exponentials are 4/3, 3/2, and 1, for hyperbolic shells, parabolic shells, and elliptic shells, respectively, through the construction of the Ansatze. |
| Keyword | Geometry rigidity inequality shell nonlinear elasticity Riemannian geometry |
| DOI | 10.1007/s11424-020-0075-z |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Science Foundation of China[12071463] ; National Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, Chinese Academy of Sciences[QYZDJ-SSW-SYS011] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000608140200017 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58038 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yao Pengfei |
| Affiliation | 1.Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Yao Pengfei. Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2021:17. |
| APA | Yao Pengfei.(2021).Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,17. |
| MLA | Yao Pengfei."Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY (2021):17. |
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