Comptes Rendus
Periodic unfolding and homogenization
Comptes Rendus. Mathématique, Volume 335 (2002) no. 1, pp. 99-104.

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).

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.

Received:
Accepted:
Published online:
DOI: 10.1016/S1631-073X(02)02429-9

Doina Cioranescu 1; Alain Damlamian 2; Georges Griso 1

1 Université Pierre et Marie Curie (Paris VI), Laboratoire d'analyse numérique, 4, place Jussieu, 75252 Paris cedex 05, France
2 Université Paris XII Val de Marne, Laboratoire d'analyse et de mathématiques appliquées, CNRS UMR 8050, 94010 Créteil cedex, France
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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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