A short note on the derivation of the elastic von Kármán shell theory

DOI10.1007/S10255-017-0640-YzbMath1367.74033OpenAlexW2615449142MaRDI QIDQ523760

Hui Li

Publication date: 21 April 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-017-0640-y

zbMATH Keywords

nonlinear elasticitycalculus of variations\(\Gamma\) convergence

Mathematics Subject Classification ID

Plates (74K20) Shells (74K25)

Cites Work

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• A nonlinear theory for shells with slowly varying thickness
• An introduction to \(\Gamma\)-convergence
• Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
• The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
• The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
• Confining thin elastic sheets and folding paper
• 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
• Shell theories arising as low energy Gamma-limit of 3d nonlinear elasticity

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