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On the Obstacle Problem for a Naghdi Shell

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Abstract

Starting with the Naghdi model for a shell in Cartesian coordinates, we derive a model for the contact of this shell with a rigid body. We also prove the well-posedness of the resulting system of variational inequalities.

Rèsumè

À partir du modèle de Naghdi pour une coque en coordonnées cartésiennes, nous proposons un modèle décrivant le contact de cette coque avec un corps rigide. Nous prouvons que le système d’inéquations variationnelles qui en résulte est bien posé.

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Authors and Affiliations

  1. Université de Technologie de Compiègne, Centre de Recherches de Royallieu, B.P. 20529, 60205, Compiègne Cedex, France

    Faker Ben Belgacem

  2. Laboratoire Jacques-Louis Lions, C.N.R.S. & Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, 75252, Paris Cedex 05, France

    Christine Bernardi

  3. Laboratoire de Mathématiques Raphaël Salem (U.M.R. 6085 C.N.R.S.), Université de Rouen, avenue de l’Université, B.P. 12, 76801, Saint-Étienne-du-Rouvray, France

    Adel Blouza

  4. Faculté des Sciences, Département de Mathématiques, Université Badji-Mokhtar, B.P. 12, 23000, Annaba, Algeria

    Frekh Taallah

Authors
  1. Faker Ben Belgacem
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  2. Christine Bernardi
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  3. Adel Blouza
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  4. Frekh Taallah
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Correspondence to Christine Bernardi.

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Ben Belgacem, F., Bernardi, C., Blouza, A. et al. On the Obstacle Problem for a Naghdi Shell. J Elast 103, 1–13 (2011). https://doi.org/10.1007/s10659-010-9269-2

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  • DOI: https://doi.org/10.1007/s10659-010-9269-2

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