Homogenization of high-contrast and non symmetric conductivities for non periodic columnar structures
Abstract
In this paper we determine, in dimension three, the effective conductivities of non periodic high-contrast two-phase cylindrical composites, placed in a constant magnetic field, without any assumption on the geometry of their cross sections. Our method, in the spirit of the H-convergence of Murat-Tartar, is based on a compactness result and the cylindrical nature of the microstructure. The homogenized laws we obtain extend those of the periodic fibre-reinforcing case of [M. Briane and L. Pater. Homogenization of high-contrast two-phase conductivities perturbed by a magnetic field. Comparison between dimension two and dimension three. J. Math. Anal. Appl., 393 (2) (2012), 563 -589] to the case of periodic and non periodic composites with more general transversal geometries.
Keywords
Cite
@article{arxiv.1302.7222,
title = {Homogenization of high-contrast and non symmetric conductivities for non periodic columnar structures},
author = {Mohamed Camar-Eddine and Laurent Pater},
journal= {arXiv preprint arXiv:1302.7222},
year = {2013}
}
Comments
28 pages