Une méthode de Γ-convergence pour un modèle de membrane non linéaire

DOI10.1016/S0764-4442(97)86956-XzbMath0878.73005MaRDI QIDQ4344480

Hafedh Ben Belgacem

Publication date: 5 January 1998

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceweak topologystored energycylindrical three-dimensional nonlinear hyperelastic bodyJacobian of deformation gradientminimizier of limit energysequence of minimizers

Mathematics Subject Classification ID

Plates (74K20) Inhomogeneity in solid mechanics (74E05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (12)

The nonlinear membrane energy: variational derivation under the constraint ``\(\det \nabla u\neq 0\) ⋮ Remarks on homogenization and \(3D\)-\(2D\) dimension reduction of unbounded energies on thin films ⋮ Actuation of thin nematic elastomer sheets with controlled heterogeneity ⋮ Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density ⋮ The nonlinear membrane energy: Variational derivation under the constraint ``det\(\nabla u>\)0 ⋮ NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS: I ⋮ Incompressible nonlinearly elastic thin membranes ⋮ A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence ⋮ Relaxation of singular functionals defined on Sobolev spaces ⋮ MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE ⋮ \(\Gamma \)-convergence for incompressible elastic plates ⋮ Generalized von Kármán equations.

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