KMS Of Academy of mathematics and systems sciences, CAS
| The Time-Dependent Von Karman Shell Equation as a Limit of Three-Dimensional Nonlinear Elasticity | |
| Qin, Yizhao1; Yao, Peng-Fei2,3 | |
| 2020-08-04 | |
| Source Publication | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| ISSN | 1009-6124 |
| Pages | 18 |
| Abstract | The asymptotic behaviour of solutions of three-dimensional nonlinear elastodynamics in a thin shell is considered, as the thicknesshof the shell tends to zero. Given the appropriate scalings of the applied force and of the initial data in terms ofh, it's verified that three-dimesional solutions of the nonlinear elastodynamic equations converge to solutions of the time-dependent von KMorarmMoran equations or dynamic linear equations for shell of arbitrary geometry. |
| Keyword | Nonlinear elasticity thin shell time-dependent von Karman equations |
| DOI | 10.1007/s11424-020-9146-4 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Science Foundation of China[61473126] ; National Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000555391900021 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51907 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Qin, Yizhao |
| Affiliation | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Qin, Yizhao,Yao, Peng-Fei. The Time-Dependent Von Karman Shell Equation as a Limit of Three-Dimensional Nonlinear Elasticity[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2020:18. |
| APA | Qin, Yizhao,&Yao, Peng-Fei.(2020).The Time-Dependent Von Karman Shell Equation as a Limit of Three-Dimensional Nonlinear Elasticity.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,18. |
| MLA | Qin, Yizhao,et al."The Time-Dependent Von Karman Shell Equation as a Limit of Three-Dimensional Nonlinear Elasticity".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY (2020):18. |
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