Incompressible nonlinearly elastic thin membranes

Karim Trabelsi

doi:10.1016/j.crma.2004.11.005

Mathematical Problems in Mechanics

Incompressible nonlinearly elastic thin membranes
[Membranes minces non linéairement élastiques incompressibles]

Présenté par : Philippe G. Ciarlet

Karim Trabelsi ¹

¹ Laboratoire 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.

Résumé
Abstract

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)].

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)].

Reçu le : 2004-10-11
Accepté le : 2004-11-01
Publié le : 2004-12-19

DOI : 10.1016/j.crma.2004.11.005

Affiliations des auteurs :

Karim Trabelsi ¹

¹ Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, boîte courrier 187, 75252 Paris cedex 05, France

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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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.11.005/

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