The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity
From MaRDI portal
Publication:699239
DOI10.1016/S1631-073X(02)02388-9zbMath1041.74043OpenAlexW2083150021MaRDI QIDQ699239
Gero Friesecke, Richard D. James, Stefan Müller
Publication date: 2002
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02388-9
Related Items
A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity, Finite element approximation of large bending isometries, ON THE GENERALIZED VON KÁRMÁN EQUATIONS AND THEIR APPROXIMATION, Derivation of a rod theory for multiphase materials, An atomistic derivation of von-Kármán plate theory, The wrinkling of a twisted ribbon, A mixed variational principle for the Föppl-von Kármán equations, Automatically inf − sup compliant diamond-mixed finite elements for Kirchhoff plates, Minimal energy configurations of bilayer plates as a polynomial optimization problem, Rigidity of pairs of quasiregular mappings whose symmetric part of gradient are close, A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence, Modeling and simulation of thin sheet folding, Nonlinear weakly curved rod by \(\Gamma \)-convergence, Asymptotic behavior for textiles in von-Kármán regime, Shallow-shell models by Γ-convergence, A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence, On generalized Cosserat-type theories of plates and shells: a short review and bibliography, Distributed branch points and the shape of elastic surfaces with constant negative curvature, THE REISSNER–MINDLIN PLATE IS THE Γ-LIMIT OF COSSERAT ELASTICITY, Nonlinearly elastic membrane model for heterogeneous shells by using a new double scale variational formulation: A formal asymptotic approach, Spatial heterogeneity in 3D-2D dimensional reduction, Modeling the behavior of heat-shrinkable thin films, Some remarks on the asymptotic invertibility of the linearized operator of nonlinear elasticity in the context of the displacement approach, Regularity properties of isometric immersions, Self-similar folding patterns and energy scaling in compressed elastic sheets, Numerical Solution of a Föppl--von Kármán Model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A justification of nonlinear properly invariant plate theories
- Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method
- Rigorous derivation of nonlinear plate theory and geometric rigidity
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- Une justification partielle du modèle de plaque en flexion par -convergence
- Des poutres flexibles aux fils extensibles: une hiérarchie de modèles asymptotiques
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Nonlinear problems of elasticity