A confinement problem for a linearly elastic Koiter's shell

DOI10.1016/j.crma.2019.01.004zbMath1409.74029OpenAlexW2914195684MaRDI QIDQ666749

Paolo Piersanti, Philippe G. Ciarlet

Publication date: 12 March 2019

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.2019.01.004

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

• A classification of thin shell theories
• Existence theorems for two-dimensional linear shell theories
• Asymptotic analysis of linearly elastic shells: `Generalized membrane shells'
• An existence and uniqueness theorem for the two-dimensional linear membrane shell equations
• On the ellipticity of linear membrane shell equations
• A confinement problem for a linearly elastic membrane shell of elliptic type
• Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations
• An obstacle problem for elliptic membrane shells
• A NEW KIND OF SINGULAR STIFF PROBLEMS AND APPLICATION TO THIN ELASTIC SHELLS
• An obstacle problem for Koiter’s shells
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