Incompressible nonlinearly elastic thin membranes

DOI10.1016/j.crma.2004.11.005zbMath1094.74038OpenAlexW1999210875MaRDI QIDQ1763533

Karim Trabelsi

Publication date: 22 February 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.2004.11.005

zbMATH Keywords

integral representationgamma-convergencesingular functional relaxation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Homogenization in equilibrium problems of solid mechanics (74Q05) Membranes (74K15)

Related Items (7)

The von Kármán theory for incompressible elastic shells ⋮ Derivation of a plate theory for incompressible materials ⋮ An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers ⋮ Effective behavior of nematic elastomer membranes ⋮ MODELING OF A MEMBRANE FOR NONLINEARLY ELASTIC INCOMPRESSIBLE MATERIALS VIA GAMMA-CONVERGENCE ⋮ \(\Gamma \)-convergence for incompressible elastic plates ⋮ Bending, buckling and free vibration analysis of incompressible functionally graded plates using higher order shear and normal deformable plate theory

Cites Work

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• A variational definition of the strain energy for an elastic string
• An introduction to \(\Gamma\)-convergence
• Non-existence of minimizers for a nonlinear membrane plate under compression.
• Nonlinear thin plate models for a family of Ogden materials
• The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
• The lower quasiconvex envelope of the stored energy function for an elastic crystal
• Optimal design and relaxation of variational problems, II
• Une méthode de Γ-convergence pour un modèle de membrane non linéaire
• Relaxation of singular functionals defined on Sobolev spaces
• Semicontinuity problems in the calculus of variations

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