Limit behavior of Koiter model for long cylindrical shells and Vlassov model

DOI10.1016/j.ijsolstr.2009.09.024zbMath1183.74149OpenAlexW2041367836MaRDI QIDQ960759

Olivier Millet, Fabien Béchet, Evariste Sanchez-Palencia

Publication date: 29 March 2010

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2009.09.024

zbMATH Keywords

asymptotic expansionshell theoryKoiter modelthin-walled beamVlasov model

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)

Related Items (2)

A problem on slender nearly cylindrical shells suggested by Torroja's structures ⋮ Propagation of singularities in shells of non-uniform geometrical nature. A numerical investigation

Cites Work

• 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
• An asymptotic non-linear model for thin-walled rods
• A classification of thin shell theories
• A finite element model for linear viscoelastic behaviour of pultruded thin-walled beams under general loadings
• Computing singular perturbations for linear elliptic shells
• An asymptotic non-linear model for thin-walled rods with strongly curved open cross-section
• Justification of the kinematic assumptions for thin-walled rods with shallow profile
• Effective models of composite periodic plates. I: Asymptotic solution
• Asymptotic derivation of a general linear model for thin-walled elastic rods
• Non-uniform warping including the effects of torsion and shear forces. I: A general beam theory
• Thin elastic and periodic plates
• Theory of Anisotropic Thin-Walled Beams
• Des poutres flexibles aux fils extensibles: une hiérarchie de modèles asymptotiques
• Modèle asymptotique linéaire de poutres voiles fortement courbés

This page was built for publication: Limit behavior of Koiter model for long cylindrical shells and Vlassov model