On the ellipticity of linear shell models

DOI10.1007/BF00946629zbMath0765.73046OpenAlexW1985715554MaRDI QIDQ1194090

Philippe G. Ciarlet, Bernadette Miara

Publication date: 27 September 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00946629

zbMATH Keywords

Koiter's two-dimensional strain energylemma of J. L. Lionsrigid displacement lemma

Mathematics Subject Classification ID

Membranes (74K15)

Related Items

Existence theorems for two-dimensional linear shell theories, ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES, Unnamed Item, Asymptotic analysis of linearly elastic shells: `Generalized membrane shells', A regularity result for a linear membrane shell problem, A nonlinear Korn inequality on a surface, A SIMPLE PROOF OF THE ELLIPTICITY OF KOITER'S MODEL, Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations, Asymptotic analysis for periodic perforated shells, Existence theory for linearly elastic shells

Cites Work

• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• Théorème d'existence et d'unicité pour un problème de coque élastique dans le cas d'un modèle linéaire de P. M. Naghdi
• Justification d'un modèle bi-dimensionnel non linéaire de coque analogue à celui de W.T. Koiter
• Refined interior equations for thin elastic shells
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item