A SHELL CLASSIFICATION BY INTERPOLATION

DOI10.1142/S021820250200215XzbMath1027.74041MaRDI QIDQ4798937

No author found.

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

cylindrical shellasymptoticbending energymembrane energyKoiter shellsreal interpolation theory

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

The MITC9 \(shell\) element in \(plate\) bending: Mathematical analysis of a simplified case, Asymptotic Energy Behavior of Two Classical Intermediate Benchmark Shell Problems, 3D-SHELL ELEMENTS AND THEIR UNDERLYING MATHEMATICAL MODEL, Asymptotic study of the solution for pinched cylindrical shells, Numerical stability for a dynamic Naghdi shell, Asymptotics of shell eigenvalue problems, AN INTERPOLATION THEORY APPROACH TO SHELL EIGENVALUE PROBLEMS, Interpolation theory and shell problems, Equivalence estimates for a class of singular perturbation problems

Cites Work

• On the locking phenomenon for a class of elliptic problems
• On a class of interpolation spaces
• Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations
• Shell deformation states and the finite element method: A benchmark study of cylindrical shells
• Fundamental considerations for the finite element analysis of shell structures
• SINGULAR PERTURBATION AND INTERPOLATION
• Existence and uniqueness for the linear Koiter model for shells with little regularity