Decomposition of shell deformations - asymptotic behavior of the Green-St Venant strain tensor

DOI10.1016/j.crma.2009.06.018zbMath1170.74031OpenAlexW2041173468MaRDI QIDQ841302

Georges Griso, Dominique Blanchard

Publication date: 15 September 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.06.018

zbMATH Keywords

Korn inequalitylinearized strain field

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)

Related Items (2)

Justification of a simplified model for shells in nonlinear elasticity ⋮ Decomposition of the deformations of a thin shell. Asymptotic behavior of the Green-St Venant's strain tensor

Cites Work

• On the justification of the nonlinear inextensional plate model
• Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
• Decompositions of displacements of thin structures
• A nonlinear Korn inequality on a surface
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• DECOMPOSITION OF DEFORMATIONS OF THIN RODS: APPLICATION TO NONLINEAR ELASTICITY
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
• ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF PLATES
• Unnamed Item

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