Article Dans Une Revue Comptes Rendus. Mathématique Année : 2023

Remarks on homogenization and 3d-2d dimension reduction of unbounded energies on thin films

Résumé

We study periodic homogenization and 3d-2d dimension reduction by Γ(π)-convergence 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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Dates et versions

hal-03778791 , version 1 (16-09-2022)

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Citer

Omar Anza Hafsa, Jean-Philippe Mandallena. Remarks on homogenization and 3d-2d dimension reduction of unbounded energies on thin films. Comptes Rendus. Mathématique, 2023, 361 (G5), pp.903-910. ⟨10.5802/crmath.454⟩. ⟨hal-03778791⟩

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