Hashin-Shtrikman微结构中的色散张量及其唯一极小值
Dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures
摘要：
本文在广义Hashin-Shtrikman微结构类\cite {T}中引入了宏观量，即色散张量或\textit{Burnett coefficient}。在两相材料具有周期性Hashin-Shtrikman结构的情况下，我们解决了色散张量存在唯一极小值的问题，即所谓的Apollonian-Hashin-Shtrikman微结构。
英文摘要：
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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