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Comptes Rendus Mathématique
Volume 338, n° 1
pages 97-102 (janvier 2004)
Doi : 10.1016/j.crma.2003.09.040
Received : 8 September 2003 ;  accepted : 14 September 2003
Modélisation de structures électromagnétiques périodiques - matériaux bianisotropes avec mémoire
Modelling of periodic electromagnetic structures - bi-anisotropic materials with memory

Alain  Bossavit a ,  Georges  Griso b ,  Bernadette  Miara c
aLaboratoire de génie électrique de Paris (CNRS), 11, rue Joliot-Curie, 91192 Gif-sur-Yvette, France 
bUniversité Pierre et Marie Curie, laboratoire Jacques-Louis Lions, 4, place Jussieu, 75252 Paris, France 
cESIEE, laboratoire de modélisation et simulation numérique, 2, boulevard Blaise Pascal, 93160 Noisy-le-Grand, France 

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On propose dans cette Note une justification rigoureuse de la loi de comportement limite d'un matériau électromagnétique bianisotrope avec mémoire présentant une structure périodique et dont tous les paramètres constitutifs dépendent du temps. Cette étude est menée sur les formulations temporelle puis fréquentielle des équations de Maxwell en appliquant la méthode de l'éclatement périodique introduite par D. Cioranescu, A. Damlamian et G. Griso. Pour citer cet article : A. Bossavit et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004).

Abstract

In this Note we propose a rigorous justification of the limit constitutive law of a periodic bi-anisotropic electromagnetic structure with memory. This study is based on the periodic unfolding method, introduced by D. Cioranescu, A. Damlamian and G. Griso, and is applied on the time domain and on the frequency domain. To cite this article: A. Bossavit et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004).




© 2003  Académie des sciences@@#104156@@

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