广义Hashin-Shtrikman微结构类的Bloch波谱分析
Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures
摘要：
在本文中，我们使用谱方法，通过引入Bloch波来研究非周期类广义Hashin-Shtrikman微结构\cite [page no. 281]{T}的均匀化过程，它包含了平移和膨胀与一个家庭的尺度，包括一个子类的层压板。通过给出均匀化系数的谱表示，建立了经典的均匀化结果。它提供了一个新的领导扩展布洛赫谱分析的非周期性，非交换类的微结构。
英文摘要：
In this paper, we use spectral methods by introducing the Bloch waves to study the homogenization process in the non-periodic class of generalized Hashin-Shtrikman micro-structures \cite[page no. 281]{T}, which incorporates both translation and dilation with a family of scales, including one subclass of laminates. We establish the classical homogenization result with providing the spectral representation of the homogenized coefficients. It offers a new lead towards extending the Bloch spectral analysis in the non-periodic, non-commutative class of micro-structures.
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