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Comptes Rendus Mathématique
Volume 340, n° 1
pages 75-80 (janvier 2005)
Doi : 10.1016/j.crma.2004.11.005
Received : 11 October 2004 ;  accepted : 1 November 2004
Incompressible nonlinearly elastic thin membranes
Membranes minces non linéairement élastiques incompressibles
 

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

Abstract

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)]. To cite this article: K. Trabelsi, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.
Résumé

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 lʼénergie 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)]. Pour citer cet article : K. Trabelsi, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.


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