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Article Dans Une Revue Networks and Heterogeneous Media Année : 2022

Homogenization of stiff inclusions through network approximation

Résumé

We investigate the homogenization of inclusions of infinite conductivity, randomly stationary distributed inside a homogeneous conducting medium. A now classical result by Zhikov shows that, under a logarithmic moment bound on the minimal distance between the inclusions, an effective model with finite homogeneous conductivity exists. Relying on ideas from network approximation, we provide a relaxed criterion ensuring homogenization. Several examples not covered by the previous theory are discussed.

Dates et versions

hal-04528386 , version 1 (01-04-2024)

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David Gérard-Varet, Alexandre Girodroux-Lavigne. Homogenization of stiff inclusions through network approximation. Networks and Heterogeneous Media, 2022, 17 (2), pp.163. ⟨10.3934/nhm.2022002⟩. ⟨hal-04528386⟩
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