[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).
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@article{CRMATH_2002__335_1_99_0,
author = {Cioranescu, Doina and Damlamian, Alain and Griso, Georges},
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},
url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02429-9/}
}
TY - JOUR AU - Cioranescu, Doina AU - Damlamian, Alain AU - Griso, Georges TI - Periodic unfolding and homogenization JO - Comptes Rendus. Mathématique PY - 2002 SP - 99 EP - 104 VL - 335 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02429-9/ DO - 10.1016/S1631-073X(02)02429-9 LA - en ID - CRMATH_2002__335_1_99_0 ER -
%0 Journal Article %A Cioranescu, Doina %A Damlamian, Alain %A Griso, Georges %T Periodic unfolding and homogenization %J Comptes Rendus. Mathématique %D 2002 %P 99-104 %V 335 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02429-9/ %R 10.1016/S1631-073X(02)02429-9 %G en %F CRMATH_2002__335_1_99_0
Cioranescu, Doina; Damlamian, Alain; Griso, Georges. Periodic unfolding and homogenization. Comptes Rendus. Mathématique, Tome 335 (2002) no. 1, pp. 99-104. doi : 10.1016/S1631-073X(02)02429-9. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02429-9/
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