An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type

DOI10.1142/S0218202518500628zbMath1411.74017OpenAlexW2895231051MaRDI QIDQ4630551

Christinel Mardare, Philippe G. Ciarlet

Publication date: 27 March 2019

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202518500628

zbMATH Keywords

nonlinear elasticityexistence theorynonlinearly elastic shellsJohn Ball's theoremKoiter's equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Shells (74K25) Theoretical approximation in context of PDEs (35A35)

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Cites Work

• A mathematical model of Koiter's type for a nonlinearly elastic ``almost spherical shell
• Orientation-preserving condition and polyconvexity on a surface: application to nonlinear shell theory
• Strong convergence results for the asymptotic behavior of the 3D-shell model
• New nonlinear estimates for surfaces in terms of their fundamental forms
• Convexity conditions and existence theorems in nonlinear elasticity
• Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
• Existence theorem for a nonlinear elliptic shell model
• A nonlinear shell model of Koiter's type
• The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
• Refined interior equations for thin elastic shells
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