Homogenization of materials with sign changing coefficients - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Communications in Mathematical Sciences Année : 2016

Homogenization of materials with sign changing coefficients

Résumé

We investigate a periodic homogenization problem involving two isotropic materials with conductivities of different signs: a classical material and a metamaterial (or negative material). Combining the T−coercivity approach and the unfolding method for homogenization, we prove well-posedness results for the initial and the homogenized problems and we obtain a convergence result. These results are obtained under the condition that the contrast between the two conductivities is large enough in modulus. The homogenized matrix, is generally anisotropic and indefinite, but it is shown to be isotropic and (positive or negative) definite for particular geometries having symmetries.
Fichier principal
Vignette du fichier
CMS_FINAL.pdf (231.9 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01162225 , version 1 (09-06-2015)
hal-01162225 , version 2 (10-09-2015)
hal-01162225 , version 3 (25-09-2015)
hal-01162225 , version 4 (13-04-2016)

Identifiants

Citer

Renata Bunoiu, Karim Ramdani. Homogenization of materials with sign changing coefficients. Communications in Mathematical Sciences, 2016, 14 (4), pp.1137-1154. ⟨10.4310/CMS.2016.v14.n4.a13⟩. ⟨hal-01162225v4⟩
535 Consultations
648 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More