Vibration of a pre-constrained elastic thin shell II: Intrinsic exact model
[Vibration d'une coque élastique mince pré-contrainte II]
Cagnol, John1 ; Zolésio, Jean-Paul2
1 Pôle Universitaire Léonard de Vinci, ESILV, DER-CS, 92916 Paris La Défense cedex, France
2 CNRS research director at INRIA, OPALE project, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis cedex, France
Comptes Rendus. Mathématique, Tome 334 (2002) no. 3, pp. 251-256.

On étudie la vibration d'une coque élastique pré-contrainte par grand déplacement en petites déformations. Dans cette seconde partie on donne un modèle p(d,∞) en géométrie intrinsèque. On tire avantage de l'exactitude du modèle pour l'existence et la régularité de ses solutions.

We study the vibration of an elastic thin shell which is pre-constrained by a large displacement with a small deformation. In this second Note we come up with an exact model p(d,∞) in intrinsic geometry. We take advantage of the exactness of the model for the existence and regularity of its the solutions.

Reçu le :
Révisé le :
Publié le :
DOI : 10.1016/S1631-073X(02)02183-0
Cagnol, John 1 ; Zolésio, Jean-Paul 2

1 Pôle Universitaire Léonard de Vinci, ESILV, DER-CS, 92916 Paris La Défense cedex, France
2 CNRS research director at INRIA, OPALE project, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis cedex, France 
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     title = {Vibration of a pre-constrained elastic thin shell {II:} {Intrinsic} exact model},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {251--256},
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Cagnol, John; Zolésio, Jean-Paul. Vibration of a pre-constrained elastic thin shell II: Intrinsic exact model. Comptes Rendus. Mathématique, Tome 334 (2002) no. 3, pp. 251-256. doi : 10.1016/S1631-073X(02)02183-0. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02183-0/

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[3] Cagnol, J.; Zolésio, J.-P. Vibration of a pre-constrained elastic thin shell, I: Modelling and regularity of the solutions, C. R. Acad. Sci. Paris, Série I, Volume 33 (2002) no. 4

[4] J. Cagnol, J.-P. Zolésio, Vibration of a pre-constrained elastic thin shell. Modeling, regularity and intrinsic exact model, Rapport de recherche ESILV, DER-CS, No RR-4, 2001

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