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Networks and Heterogeneous Media

2013, Volume 8, Issue 4: 913-941. doi: 10.3934/nhm.2013.8.913
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Homogenization of high-contrast and non symmetric conductivities for non periodic columnar structures

  • 1.
    Centre de Mathématiques, I.N.S.A. de Rennes & I.R.M.A.R., Rennes Cedex
  • 2.
    I.R.M.A.R., Université de Rennes 1, Rennes Cedex
  • Received: 01 February 2013

  • Primary: 35B27, 35J25; Secondary: 74Q20.

  • In this paper we determine, in dimension three, the effective conductivities of non periodic and 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 [17] to the case of periodic and non periodic composites with more general transversal geometries.

    Citation: Mohamed Camar-Eddine, Laurent Pater. Homogenization of high-contrast and non symmetric conductivities for non periodic columnar structures[J]. Networks and Heterogeneous Media, 2013, 8(4): 913-941. doi: 10.3934/nhm.2013.8.913

    Related Papers:

  • In this paper we determine, in dimension three, the effective conductivities of non periodic and 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 [17] to the case of periodic and non periodic composites with more general transversal geometries.


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