Comptes Rendus
no. 8
Mathematical Problems in Mechanics/Calculus of Variations
Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence
[Dérivation de la théorie non linéaire des coques en flexion à partir de l'élasticité non linéaire tridimensionelle par Gamma-convergence]

Présenté par : J.M. Ball

Gero Friesecke1 ; Richard D. James2 ; Maria Giovanna Mora3 ; Stefan Müller3
1 Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK
2 Department of Aerospace Engineering and Mechanics, 107 Akerman Hall, University of Minnesota, Minneapolis, MN 55455, USA
3 Max Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103 Leipzig, Germany
Comptes Rendus. Mathématique, Volume 336 (2003) no. 8, pp. 697-702.

Nous montrons que la théorie non linéaire des coques en flexion émerge comme Γ-limite de la théorie de l'élasticité tridimensionelle.

We show that the nonlinear bending theory of shells arises as a Γ-limit of three-dimensional nonlinear elasticity.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00028-1

Gero Friesecke 1 ; Richard D. James 2 ; Maria Giovanna Mora 3 ; Stefan Müller 3

1 Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK
2 Department of Aerospace Engineering and Mechanics, 107 Akerman Hall, University of Minnesota, Minneapolis, MN 55455, USA
3 Max Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103 Leipzig, Germany 
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Gero Friesecke; Richard D. James; Maria Giovanna Mora; Stefan Müller. Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence. Comptes Rendus. Mathématique, Volume 336 (2003) no. 8, pp. 697-702. doi : 10.1016/S1631-073X(03)00028-1. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00028-1/

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