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The dispersion tensor and its unique minimizer in hashin-shtrikman micro-structures

Authors :
Jorge San Martín
Loredana Bălilescu
Tuhin Ghosh
Carlos Conca
M. Vanninathan
Source :
Archive For Rational Mechanics And Analysis, Artículos CONICYT, CONICYT Chile, instacron:CONICYT
Publication Year :
2018

Abstract

In this paper, we introduce a macroscopic quantity, namely the dispersion tensor or the Burnett coefficients in the class of generalized Hashin-Shtrikman micro-structures (Tartar in The general theory of homogenization, volume 7 of Lecture notes of the Unione Matematica Italiana, Springer, Berlin, p 281, 2009). In the case of two-phase materials associated with the periodic Hashin-Shtrikman structures, we settle the issue that the dispersion tensor has a unique minimizer, which is the so called Apollonian-Hashin-Shtrikman micro-structure.

Details

Language :
English
Database :
OpenAIRE
Journal :
Archive For Rational Mechanics And Analysis, Artículos CONICYT, CONICYT Chile, instacron:CONICYT
Accession number :
edsair.doi.dedup.....f85112117c3c6f4fd9571318b2e31866