Nonlinear shell models of Kirchhoff-Love type: existence theorem and comparison with Koiter's model

DOI10.1007/s10255-019-0800-3zbMath1414.74006OpenAlexW2919684178MaRDI QIDQ2420622

Christinel Mardare

Publication date: 6 June 2019

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

Full work available at URL: https://hal.sorbonne-universite.fr/hal-02166513/file/KLshells-art-v12-HAL.pdf

zbMATH Keywords

asymptoticsexistence theoryKirchhoff-Lovenonlinearly elastic shellsKoiter

Mathematics Subject Classification ID

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

Related Items (2)

Asymptotic justification of equations for von Kármán membrane shells ⋮ A Naghdi type nonlinear model for shells with little regularity

Cites Work

• A mathematical model of Koiter's type for a nonlinearly elastic ``almost spherical shell
• New nonlinear estimates for surfaces in terms of their fundamental forms
• Null Lagrangians, weak continuity, and variational problems of arbitrary order
• 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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