Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion

Abstract

This paper is a sequel to [1-4]. We consider the problem of G-closure, i.e. the description of the setGUof effective tensors of conductivity for all possible mixtures assembled from a number of initially given components belonging to some fixed setU. Effective tensors are determined here in a sense of G-convergence relative to the operator ∇·D· ∇, of the elementsDeU∈ [5, 6].