A NEW APPROACH TO LINEAR SHELL THEORY

DOI10.1142/S0218202505000704zbMath1135.74027OpenAlexW2073713437MaRDI QIDQ5700339

Liliana Gratie, Philippe G. Ciarlet

Publication date: 28 October 2005

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

Full work available at URL: https://doi.org/10.1142/s0218202505000704

zbMATH Keywords

quadratic minimization problemsKorn's inequality on a surfaceLinearly elastic shell theory

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25) Linear-quadratic optimal control problems (49N10)

Related Items (9)

Recovery of a displacement field on a surface from its linearized change of metric and change of curvature tensors ⋮ The modified model of Koiter's type for nonlinearly elastic shell ⋮ SAINT VENANT COMPATIBILITY EQUATIONS ON A SURFACE APPLICATION TO INTRINSIC SHELL THEORY ⋮ Poincaré meets Korn via Maxwell: extending Korn's first inequality to incompatible tensor fields ⋮ A new approximate model of nonlinearly elastic flexural shell and its numerical computation ⋮ A nonlinear Korn inequality on a surface ⋮ Another approach to linear shell theory and a new proof of Korn's inequality on a surface ⋮ AN INTERPOLATION THEORY APPROACH TO SHELL EIGENVALUE PROBLEMS ⋮ CESÀRO–VOLTERRA PATH INTEGRAL FORMULA ON A SURFACE

Cites Work

• Intrinsic equations for non-linear deformation and stability of thin elastic shells
• Existence theorems for two-dimensional linear shell theories
• The continuity of a surface as a function of its two fundamental forms.
• Another approach to linear shell theory and a new proof of Korn's inequality on a surface
• Finite Element Methods for Navier-Stokes Equations
• A SIMPLE PROOF OF THE ELLIPTICITY OF KOITER'S MODEL
• ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES

This page was built for publication: A NEW APPROACH TO LINEAR SHELL THEORY