Comptes Rendus
Vibration of a pre-constrained elastic thin shell II: Intrinsic exact model
[Vibration d'une coque élastique mince pré-contrainte II]
Comptes Rendus. Mathématique, Volume 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.

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DOI : 10.1016/S1631-073X(02)02183-0

John Cagnol 1 ; Jean-Paul Zolésio 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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John Cagnol; Jean-Paul Zolésio. 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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02183-0/

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[3] J. Cagnol; J.-P. Zolésio 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

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