Mathematical Problems in Mechanics
Incompressible nonlinearly elastic thin membranes
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
Trabelsi, Karim 1

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

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