Multiscale Expansions for Linear Clamped Elliptic Shells

DOI10.1081/PDE-200040201zbMath1079.74042OpenAlexW2056029098MaRDI QIDQ4678907

Erwan Faou

Publication date: 23 May 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-200040201

zbMATH Keywords

boundary layersKoiter 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

KOITER ESTIMATE REVISITED, A posteriori boundary layer detection and resolution in \textit{hpq}-adaptive finite element methods for 3D-based hierarchical plate and shell models

Cites Work

• Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory
• Eigenmode asymptotics in thin elastic plates
• Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations
• Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations
• Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations
• Refined interior equations for thin elastic shells
• The Influence of Lateral Boundary Conditions on the Asymptotics in Thin Elastic Plates
• Regular degeneration and boundary layer for linear differential equations with small parameter
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Fourier mode analysis of layers in shallow shell deformations
• Asymptotic justification of the Kirchhoff-Love assumptions for a linearly elastic clamped shell
• Unnamed Item
• Unnamed Item
• Unnamed Item