Une justification partielle du modèle de plaque en flexion par -convergence
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Publication:2721634
DOI10.1016/S0764-4442(01)01875-4zbMath1033.74028MaRDI QIDQ2721634
Publication date: 26 February 2002
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
Plates (74K20) Energy minimization in equilibrium problems in solid mechanics (74G65) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items (18)
Mathematical Problems in Thin Elastic Sheets: Scaling Limits, Packing, Crumpling and Singularities ⋮ Stability of slender bodies under compression and validity of the von Kármán theory ⋮ Plate theory for stressed heterogeneous multilayers of finite bending energy ⋮ Derivation of a plate theory for incompressible materials ⋮ Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence. ⋮ Approximating \(W^{2,2}\) isometric immersions ⋮ NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS: I ⋮ The Föppl-von Kármán plate theory as a low energy \(\Gamma\)-limit of nonlinear elasticity ⋮ A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence ⋮ Decomposition of the deformations of a thin shell. Asymptotic behavior of the Green-St Venant's strain tensor ⋮ DECOMPOSITION OF DEFORMATIONS OF THIN RODS: APPLICATION TO NONLINEAR ELASTICITY ⋮ MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE ⋮ Modeling the behavior of heat-shrinkable thin films ⋮ \(\Gamma \)-convergence for incompressible elastic plates ⋮ The flip side of buckling ⋮ Regularity properties of isometric immersions ⋮ Rigorous derivation of nonlinear plate theory and geometric rigidity ⋮ Self-similar folding patterns and energy scaling in compressed elastic sheets
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