Strain tensors on hyperbolic surfaces and their applications

DOI10.1016/j.jfa.2021.108986zbMath1464.74004OpenAlexW3136149822MaRDI QIDQ2020085

Peng-Fei Yao

Publication date: 23 April 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2021.108986

zbMATH Keywords

solvabilitynonlinear elasticityshellKorn inequalitylinear strain equation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Shells (74K25) Kinematics of deformation (74A05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Lower bounds of optimal exponentials of thickness in geometry rigidity inequality for shells ⋮ Strain Tensors and Matching Property on Degenerated Hyperbolic Surfaces

Cites Work

• Asymptotically exact Korn's constant for thin cylindrical domains
• The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
• Gaussian curvature as an identifier of shell rigidity
• Korn inequalities for shells with zero Gaussian curvature
• Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells
• On Korn’s constant for thin cylindrical domains
• A note on the optimal constants in Korn\'s and geometric rigidity estimates in bounded and unbounded domains
• Korn inequalities for elastic junctions of massive bodies, thin plates, and rods
• Linear Strain Tensors on Hyperbolic Surfaces and Asymptotic Theories for Thin Shells
• Weighted anisotropic Korn's inequality for a junction of a plate and a rod
• On the Korn Interpolation and Second Inequalities in Thin Domains
• 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
• Exact Scaling Exponents in Korn and Korn-Type Inequalities for Cylindrical Shells
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