Geodesic
Équations aux dérivées partielles, Mécanique
Remarks on homogenization and 3D-2D dimension reduction of unbounded energies on thin films
Anza Hafsa, Omar1 ; Mandallena, Jean-Philippe1 
1 Université de Nimes, Laboratoire MIPA, Site des Carmes, Place Gabriel Péri, 30021 Nîmes, France
Comptes Rendus. Mathématique, Tome 361 (2023) no. G5, pp. 903-910

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We study periodic homogenization and 3D-2D dimension reduction by Γ(π)-con-vergence of heterogeneous thin films whose the stored-energy densities have no polynomial growth. In particular, our results are consistent with one of the basic facts of nonlinear elasticity, namely the necessity of an infinite amount of energy to compress a finite volume of matter into zero volume. However, our results are not consistent with the noninterpenetration of the matter.

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DOI : 10.5802/crmath.454

Anza Hafsa, Omar 1 ; Mandallena, Jean-Philippe 1

1 Université de Nimes, Laboratoire MIPA, Site des Carmes, Place Gabriel Péri, 30021 Nîmes, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Remarks on homogenization and $3D$-$2D$ dimension reduction of unbounded energies on thin films},
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     pages = {903--910},
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Anza Hafsa, Omar; Mandallena, Jean-Philippe. Remarks on homogenization and $3D$-$2D$ dimension reduction of unbounded energies on thin films. Comptes Rendus. Mathématique, Tome 361 (2023) no. G5, pp. 903-910. doi: 10.5802/crmath.454

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