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- Title
The Dispersion Tensor and Its Unique Minimizer in Hashin-Shtrikman Micro-structures.
- Authors
Bălilescu, Loredana; Conca, Carlos; Ghosh, Tuhin; San Martín, Jorge; Vanninathan, Muthusamy
- 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.
- Subjects
DISPERSION (Chemistry); MICROSTRUCTURE; ASYMPTOTIC homogenization; GENERALIZATION; PARTIAL differential equations
- Publication
Archive for Rational Mechanics & Analysis, 2018, Vol 230, Issue 2, p665
- ISSN
0003-9527
- Publication type
Article
- DOI
10.1007/s00205-018-1255-z