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arXiv · 1608.07545

Dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures

Loredana Bălilescu·Carlos Conca·Tuhin Ghosh·Jorge San Martín·Muthusamy Vanninathan
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Abstract

In this paper, we introduce the macroscopic quantity, namely the dispersion tensor or the \textit{Burnett coefficient}s in the class of generalized Hashin-Shtrikman micro-structures \cite[page no. 281]{T}. In the case of two-phase materials associated with the periodic Hashin-Shtrikman structures, we settle the issue that the dispersion tensor has an unique minimizer, which is so called Apollonian-Hashin-Shtrikman micro-structure.

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Loredana Bălilescu, Carlos Conca, Tuhin Ghosh, Jorge San Martín, Muthusamy Vanninathan. 2016-08-26. Dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures. https://arxiv.org/abs/1608.07545

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