Upper bounds for multiphase composites in any dimension
Analysis of PDEs
2010-10-13 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1010.2278,
title = {Upper bounds for multiphase composites in any dimension},
author = {Luis Silvestre},
journal= {arXiv preprint arXiv:1010.2278},
year = {2010}
}