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Asymptotic modeling of thin curved martensitic films

Le Dret, Hervé; Zorgati, Hamdi (2006), Asymptotic modeling of thin curved martensitic films, Asymptotic Analysis, 48, 1-2, p. 141-171

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Type
Article accepté pour publication ou publié
Date
2006
Nom de la revue
Asymptotic Analysis
Volume
48
Numéro
1-2
Éditeur
IOS Press
Pages
141-171
Métadonnées
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Auteur(s)
Le Dret, Hervé
Zorgati, Hamdi
Résumé (EN)
We consider a thin curved film made of a martensitic material. The behavior of the film is governed by a free energy composed of a bulk energy term and an interfacial energy term. We show that the minimizers of the free energy converge to the minimizers of an energy depending on a two-dimensional deformation and one Cosserat vector field when the thickness of the curved film goes to zero using \varGamma-convergence arguments.
Mots-clés
energy; thin curved film