Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells

DOI10.1137/18M118181XzbMath1411.74039arXiv1708.07202OpenAlexW2963757852WikidataQ114074300 ScholiaQ114074300MaRDI QIDQ4632548

Peng-Fei Yao

Publication date: 30 April 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07202

zbMATH Keywords

Riemannian geometrynonlinear elasticityshellhyperbolic surface

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20)

Related Items (5)

Lower bounds of optimal exponentials of thickness in geometry rigidity inequality for shells ⋮ Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells ⋮ The time-dependent von Kármán shell equation as a limit of three-dimensional nonlinear elasticity ⋮ Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces ⋮ Strain tensors on hyperbolic surfaces and their applications

Cites Work

• The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
• On the rigidity of certains surfaces with folds and applications to shell theory
• Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
• The Infinite Hierarchy of Elastic Shell Models: Some Recent Results and a Conjecture
• Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity
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