Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures
Analysis of PDEs
2016-08-29 v1
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.
Keywords
Cite
@article{arxiv.1608.07540,
title = {Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures},
author = {Loredana Bălilescu and Carlos Conca and Tuhin Ghosh and Jorge San Martín and Muthusamy Vanninathan},
journal= {arXiv preprint arXiv:1608.07540},
year = {2016}
}