Boundary layers in thin elastic shells with developable middle surface

DOI10.1016/S0997-7538(01)01182-2zbMath1006.74064OpenAlexW2002186010MaRDI QIDQ1613134

P. Karamian, Jacqueline Sanchez-Hubert

Publication date: 5 September 2002

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7538(01)01182-2

zbMATH Keywords

Lagrange multipliersboundary layercharacteristicsthin shell theorylimit probleminternal layerspropagation of singularitiesadaptive anisotropic meshesdevelopable middle surface

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 (6)

The refraction phenomenon of singularities in thin elastic shells with developable mid-surface in presence of rigid folds: case of parabolic shells ⋮ A posteriori boundary layer detection and resolution in \textit{hpq}-adaptive finite element methods for 3D-based hierarchical plate and shell models ⋮ Propagation of singularities in shells of non-uniform geometrical nature. A numerical investigation ⋮ Adaptive and anisotropic mesh strategy for thin shell problems. Case of inhibited parabolic shells ⋮ On the structure of layers for singularly perturbed equations in the case of unbounded energy ⋮ Analysis of boundary layer effects due to usual boundary conditions or geometrical defects in elastic plates under bending: an improvement of the Love-Kirchhoff model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Membrane locking in the finite element computation of very thin elastic shells
• Mixed and Hybrid Finite Element Methods
• Model problem of singular perturbation without limit in the space of finite energy and its computation
• Anisotropic finite element estimates and local locking for shells: parabolic case
• Veaux résultats numériques concernant les coques minces hyperboliques inhibées: cas du paraboloïde hyperbolique
• Sensitivity phenomena for certain thin elastic shells with edges
• A model problem for boundary layers of thin elastic shells
• Fourier mode analysis of layers in shallow shell deformations

This page was built for publication: Boundary layers in thin elastic shells with developable middle surface