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arXiv · 1608.07552

Bloch Wave Homogenization Relative to a Microstructure

Tuhin Ghosh·Muthusamy Vanninathan
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Abstract

In this work, we study the aspect of Bloch wave homogenization of the new notion of convergence of microstructures represented by matrices $B^\epsilon$ related to the classical $H$-convergence of $A^\epsilon$ introduced in \cite{TG-MV-1}. The new macro quantity $B^{#}$ appears to incorporate the interaction between the two microstructures $A^\epsilon,B^\epsilon$. Here we present its Bloch spectral representation along with the homogenization result.

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Tuhin Ghosh, Muthusamy Vanninathan. 2016-08-26. Bloch Wave Homogenization Relative to a Microstructure. https://arxiv.org/abs/1608.07552

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