Multiphase double‐porosity homogenization for perimeter functionals |
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Authors: | Margherita Solci |
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Affiliation: | DAP, Università di Sassari, , Piazza Duomo, 6 ‐ 07041 Alghero (SS), Italy |
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Abstract: | In this paper, we study a homogenization problem for perimeter energies in highly contrasted media; the analysis of the previous paper is carried out by removing the hypothesis that the perforated medium Rn ? E is composed of disjoint compact components. Assuming E to be the union of a finite number N of connected components E1, … ,EN, the Γ‐limit F is a multiphase energy with a ‘decoupled’ surface part, obtained by homogenization from the surface tensions in each E j, a trivial bulk term obtained as a weak limit, and a further interacting term between the phases, involving an asymptotic formula for a family minimum problems on invading an asymptotic formula for a family of minimum problems on invading domains with prescribed boundary conditions. Copyright © 2012 John Wiley & Sons, Ltd. |
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Keywords: | homogenization double‐porosity multiphase materials surface energies |
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