Multiphase double-porosity homogenization for perimeter functionals

作者：Solci Margherita^*

来源：Mathematical Methods in the Applied Sciences, 2012, 35(5): 598-620.

DOI：10.1002/mma.1600

• homogenization
• double-porosity
• multiphase materials
• surface energies

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 R-n \ E is composed of disjoint compact components. Assuming E to be the union of a finite number N of connected components E-1,...,E-N, the Gamma-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.

• 出版日期2012-3-30