Vibration of a pre-constrained elastic thin shell II: Intrinsic exact model
Comptes Rendus. Mathématique, Volume 334 (2002) no. 3, pp. 251-256.

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.

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.

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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},
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Cagnol, John; Zolésio, Jean-Paul. Vibration of a pre-constrained elastic thin shell II: Intrinsic exact model. Comptes Rendus. Mathématique, Volume 334 (2002) no. 3, pp. 251-256. doi : 10.1016/S1631-073X(02)02183-0. http://www.numdam.org/articles/10.1016/S1631-073X(02)02183-0/

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[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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