Upper bounds for multiphase composites in any dimension

Details Upper bounds for multiphase composites in any dimension Upper bounds for multiphase composites in any dimension

2010-10-12

arxiv.org/abs/1010.2278v1

Mathematics

Analysis of PDEs

Scientific paper

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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