A nonlinear shell model of Koiter's type

DOI10.1016/j.crma.2017.12.005zbMath1387.74075OpenAlexW4205733456MaRDI QIDQ1701514

Philippe G. Ciarlet, Christinel Mardare

Publication date: 26 February 2018

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.2017.12.005

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Shells (74K25)

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Cites Work

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• A mathematical model of Koiter's type for a nonlinearly elastic ``almost spherical shell
• Convexity conditions and existence theorems in nonlinear elasticity
• An existence theorem for nonlinearly elastic `flexural' shells
• 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