STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES

doi:10.1137/21M1440906

CSpace

	STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES
	Chen, Liang-Biao 1; Yao, Peng-Fei 1,2
	2022
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	54 期号:4 页码:4930-4953
摘要	We prove the regularity of solutions to the strain tensor equation on degenerated hyperbolic surfaces S where the Gauss curvature is zero on a part of the boundary. Furthermore, we obtain the density property that smooth infinitesimal isometrics are dense in the W-2,W-2(S, R-3) infinitesimal isometrics. Finally, the matching property is established. Those results are important tools in obtaining recovery sequences (Gamma-lim sup inequality) for dimensionally reduced shell theories in elasticity.
关键词	shell nonlinear elasticity Riemannian geometry tensor analysis
DOI	10.1137/21M1440906
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[12071463]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000889274600020
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/60535
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Liang-Biao
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.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
推荐引用方式 GB/T 7714	Chen, Liang-Biao,Yao, Peng-Fei. STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2022,54(4):4930-4953.
APA	Chen, Liang-Biao,&Yao, Peng-Fei.(2022).STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,54(4),4930-4953.
MLA	Chen, Liang-Biao,et al."STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 54.4(2022):4930-4953.