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