Another approach to linear shell theory and a new proof of Korn's inequality on a surface

DOI10.1016/j.crma.2005.01.021zbMath1329.74176OpenAlexW2017877618MaRDI QIDQ1776850

Philippe G. Ciarlet, Liliana Gratie

Publication date: 12 May 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.01.021

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25) Optimization of shapes other than minimal surfaces (49Q10) Surfaces in Euclidean and related spaces (53A05)

Related Items (6)

The modified model of Koiter's type for nonlinearly elastic shell ⋮ Shell finite elements with different through-the-thickness kinematics for the linear analysis of cylindrical multilayered structures ⋮ Towards integral inequalities of surface deformation in two-dimensional linear elasticity ⋮ A NEW APPROACH TO LINEAR SHELL THEORY ⋮ A new approximate model of nonlinearly elastic flexural shell and its numerical computation ⋮ Classical, higher-order, zig-zag and variable kinematic shell elements for the analysis of composite multilayered structures

Cites Work

• Intrinsic equations for non-linear deformation and stability of thin elastic shells
• Existence theorems for two-dimensional linear shell theories
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
• ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES
• A NEW APPROACH TO LINEAR SHELL THEORY
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