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
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, 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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Accepté le :
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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},
     publisher = {Elsevier},
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     number = {8},
     year = {2003},
     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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