Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells

doi:10.1007/s11424-020-0075-z

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	Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells
	Yao Pengfei 1,2
	2021-01-12
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
页码	17
摘要	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.
关键词	Geometry rigidity inequality shell nonlinear elasticity Riemannian geometry
DOI	10.1007/s11424-020-0075-z
收录类别	SCI
语种	英语
资助项目	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研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000608140200017
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/58038
专题	中国科学院数学与系统科学研究院
通讯作者	Yao Pengfei
作者单位	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
推荐引用方式 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.