Geodesic
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
Friesecke, Gero1 ; James, Richard D.2 ; Giovanna Mora, Maria3 ; Müller, Stefan3
1Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK
2Department of Aerospace Engineering and Mechanics, 107 Akerman Hall, University of Minnesota, Minneapolis, MN 55455, USA
3Max Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103 Leipzig, Germany
Comptes Rendus. Mathématique, Tome 336 (2003) no. 8, pp. 697-702
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We show that the nonlinear bending theory of shells arises as a Γ-limit of three-dimensional nonlinear elasticity.

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

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DOI : 10.1016/S1631-073X(03)00028-1

Friesecke, Gero  1   ; James, Richard D.  2   ; Giovanna Mora, Maria  3   ; Müller, Stefan  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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     author = {Friesecke, Gero and James, Richard D. and Giovanna Mora, Maria and M\"uller, Stefan},
     title = {Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by {Gamma-convergence}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {697--702},
     year = {2003},
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     number = {8},
     doi = {10.1016/S1631-073X(03)00028-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/S1631-073X(03)00028-1/}
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Friesecke, Gero; James, Richard D.; Giovanna Mora, Maria; Müller, Stefan. Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence. Comptes Rendus. Mathématique, Tome 336 (2003) no. 8, pp. 697-702. doi: 10.1016/S1631-073X(03)00028-1

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