Comptes Rendus
no. 1
Mathematical Problems in Mechanics
Incompressible nonlinearly elastic thin membranes
Philippe G. Ciarlet
Karim Trabelsi1
1Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, boîte courrier 187, 75252 Paris cedex 05, France
Comptes Rendus. Mathématique, Volume 340 (2005) no. 1, pp. 75-80

Nonlinearly elastic thin membrane models are derived for hyperelastic incompressible materials using Γ-convergence arguments. We obtain an integral representation of the limit two-dimensional energy owing to a result of singular functionals relaxation due to Ben Belgacem [ESAIM Control Optim. Calc. Var. 5 (2000) 71–85 (electronic)].

Des modèles de membranes minces non linéairement élastiques sont obtenus pour des matériaux hyperélastiques incompressibles via des arguments de Γ-convergence. Nous obtenons une représentation intégrale de l'énergie bidimensionnelle limite grâce à un résultat de relaxation de fonctionnelles singulières dû à Ben Belgacem [ESAIM Control Optim. Calc. Var. 5 (2000) 71–85 (électronique)].

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2004.11.005

Karim Trabelsi  1

1 Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, boîte courrier 187, 75252 Paris cedex 05, France 
Karim Trabelsi. Incompressible nonlinearly elastic thin membranes. Comptes Rendus. Mathématique, Volume 340 (2005) no. 1, pp. 75-80. doi: 10.1016/j.crma.2004.11.005
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