The dispersion tensor and its unique minimizer in hashin–shtrikman micro-structures
Author
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Balilescu, Loredana
Author
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Conca Rosende, Carlos
Author
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Ghosh, Tuhin
Author
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San Martín, Jorge
Author
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Vanninathan, Muthusamy
Admission date
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2019-01-09T13:12:23Z
Available date
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2019-01-09T13:12:23Z
Publication date
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2018-11
Cita de ítem
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Archive for Rational Mechanics and Analysis Volumen: 230 Número: 2 Páginas: 665-700
es_ES
Identifier
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10.1007/s00205-018-1255-z
Identifier
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https://repositorio.uchile.cl/handle/2250/159318
Abstract
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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.