The Time-Dependent Von Karman Shell Equation as a Limit of Three-Dimensional Nonlinear Elasticity
文献类型：期刊论文
| 作者 | Qin, Yizhao1; Yao, Peng-Fei2,3 |
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2020-08-04 |
| 页码 | 18 |
| 关键词 | Nonlinear elasticity thin shell time-dependent von Karman equations |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-020-9146-4 |
| 英文摘要 | 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. |
| 资助项目 | National Science Foundation of China[61473126] ; National 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:000555391900021 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51906]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Qin, Yizhao |
| 作者单位 | 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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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