Upper bounds for multiphase composites in any dimension

Published 12 Oct 2010 in math.AP, math-ph, and math.MP | (1010.2278v1)

Abstract: We prove a rigorous upper bound for the effective conductivity of an isotropic composite made of several isotropic components in any dimension. This upper bound coincides with the Hashin Shtrikman bound when the volume ratio of all phases but any two vanish.

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Luis Silvestre

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