The Time-Dependent Von Karman Shell Equation as a Limit of Three-Dimensional Nonlinear Elasticity

doi:10.1007/s11424-020-9146-4

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	The Time-Dependent Von Karman Shell Equation as a Limit of Three-Dimensional Nonlinear Elasticity
	Qin, Yizhao 1; Yao, Peng-Fei 2,3
	2020-08-04
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
页码	18
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.
关键词	Nonlinear elasticity thin shell time-dependent von Karman equations
DOI	10.1007/s11424-020-9146-4
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000555391900021
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51907
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.