[Éclatement périodique et homogénéisation]
Cette Note présente une approche originale des problèmes d'homogénéisation périodique. Basée sur une méthode d'éclatement périodique, elle conduit à un problème limite à coefficients non oscillants sur un domaine fixe. En comparaison avec les méthodes classiques, cette approche passe par des démonstrations relativement élementaires, et son champs d'application inclut le cas périodique multi-échelle ainsi que le cas des domaines perforés et des structures réticulées.
A novel approach to periodic homogenization is proposed, based on an unfolding method, which leads to a fixed domain problem (without singularly oscillating coefficients). This method is elementary in nature and applies to cases of periodic multi-scale problems in domains with or without holes (including truss-like structures).
Accepté le :
Publié le :
Doina Cioranescu 1 ; Alain Damlamian 2 ; Georges Griso 1
@article{CRMATH_2002__335_1_99_0,
author = {Doina Cioranescu and Alain Damlamian and Georges Griso},
title = {Periodic unfolding and homogenization},
journal = {Comptes Rendus. Math\'ematique},
pages = {99--104},
publisher = {Elsevier},
volume = {335},
number = {1},
year = {2002},
doi = {10.1016/S1631-073X(02)02429-9},
language = {en},
}
Doina Cioranescu; Alain Damlamian; Georges Griso. Periodic unfolding and homogenization. Comptes Rendus. Mathématique, Volume 335 (2002) no. 1, pp. 99-104. doi : 10.1016/S1631-073X(02)02429-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02429-9/
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