LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS

doi:10.1137/18M118181X

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	LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS
	Yao, Peng-Fei1,2
	2019
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	51 期号:2 页码:1387-1435
摘要	We perform a detailed analysis of the solvability of linear strain equations on hyperbolic surfaces under a technical assumption (noncharacteristic). For regular enough hyperbolic surfaces, we prove that smooth infinitesimal isometrics are dense in the W-2,W-2 infinitesimal isometrics. Then the matching property for noncharacteristic regions is established; that is, smooth enough infinitesimal isometrics can be matched with higher-order infinitesimal isometrics. Those results are applied to the elasticity of thin shells for the Gamma-limits, where the recovery sequences for noncharacteristic regions are obtained when the elastic energy density scales like h(beta), beta is an element of (2,4), where h is the thickness of a shell.
关键词	hyperbolic surface shell nonlinear elasticity Riemannian geometry
DOI	10.1137/18M118181X
语种	英语
资助项目	National Natural Science Foundation of China[61473126] ; National Natural 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, Applied
WOS记录号	WOS:000466423200003
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34585
专题	系统科学研究所
通讯作者	Yao, Peng-Fei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, 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, Peng-Fei. LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2019,51(2):1387-1435.
APA	Yao, Peng-Fei.(2019).LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,51(2),1387-1435.
MLA	Yao, Peng-Fei."LINEAR STRAIN TENSORS ON HYPERBOLIC SURFACES AND ASYMPTOTIC THEORIES FOR THIN SHELLS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 51.2(2019):1387-1435.