SIAM Journal on Mathematical Analysis, volume 51, issue 2, pages 1387-1435
Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells
Publication type: Journal Article
Publication date: 2019-04-25
Q1
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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Yao P. Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells // SIAM Journal on Mathematical Analysis. 2019. Vol. 51. No. 2. pp. 1387-1435.
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Yao P. Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells // SIAM Journal on Mathematical Analysis. 2019. Vol. 51. No. 2. pp. 1387-1435.
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TY - JOUR
DO - 10.1137/18M118181X
UR - https://doi.org/10.1137/18M118181X
TI - Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells
T2 - SIAM Journal on Mathematical Analysis
AU - Yao, Peng-Fei
PY - 2019
DA - 2019/04/25
PB - Society for Industrial and Applied Mathematics (SIAM)
SP - 1387-1435
IS - 2
VL - 51
SN - 0036-1410
SN - 1095-7154
ER -
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@article{2019_Yao,
author = {Peng-Fei Yao},
title = {Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells},
journal = {SIAM Journal on Mathematical Analysis},
year = {2019},
volume = {51},
publisher = {Society for Industrial and Applied Mathematics (SIAM)},
month = {apr},
url = {https://doi.org/10.1137/18M118181X},
number = {2},
pages = {1387--1435},
doi = {10.1137/18M118181X}
}
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Yao, Peng-Fei. “Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells.” SIAM Journal on Mathematical Analysis, vol. 51, no. 2, Apr. 2019, pp. 1387-1435. https://doi.org/10.1137/18M118181X.