SIAM Journal on Mathematical Analysis, volume 51, issue 2, pages 1387-1435
Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells
Peng-Fei Yao
Publication type: Journal Article
Publication date: 2019-04-25
scimago Q1
SJR: 2.374
CiteScore: 3.3
Impact factor: 2.2
ISSN: 00361410, 10957154
Computational Mathematics
Applied Mathematics
Analysis
Abstract
We perform a detailed analysis of the solvability of linear strain equations on hyperbolic surfaces. We prove that if the surface is a smooth noncharacteristic region, any first order infinitesimal isometry can be matched to an infinitesimal isometry of an arbitrarily high order. The implications of this result for the elasticity of thin hyperbolic shells are discussed.
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