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arXiv · 1608.07540

Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures

Loredana Bălilescu·Carlos Conca·Tuhin Ghosh·Jorge San Martín·Muthusamy Vanninathan
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Abstract

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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Loredana Bălilescu, Carlos Conca, Tuhin Ghosh, Jorge San Martín, Muthusamy Vanninathan. 2016-08-26. Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures. https://arxiv.org/abs/1608.07540

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