Intrinsic Formulation of the Kirchhoff-Love Theory of Nonlinearly Elastic Shallow Shells

DOI10.4208/cmaa.2022-0017OpenAlexW4312826905MaRDI QIDQ6133788

Christinel Mardare, Philippe G. Ciarlet

Publication date: 21 August 2023

Published in: Communications in Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cmaa.2022-0017

zbMATH Keywords

Euler-Lagrange equationintrinsic formulationKirchhoff-Love theorydisplacement-traction problemSaint-Venant compatibility conditionsnonlinearly elastic shallow shells

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Shells (74K25) Surfaces in Euclidean and related spaces (53A05) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (1)

An Intrinsic Formulation of the von Kármán Equations

Cites Work

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• An intrinsic formulation of the Kirchhoff–Love theory of linearly elastic plates
• Justification of the two-dimensional equations of a linearly elastic shallow shell
• ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
• NONLINEAR SAINT–VENANT COMPATIBILITY CONDITIONS AND THE INTRINSIC APPROACH FOR NONLINEARLY ELASTIC PLATES

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