Induced anisotropic magneto-resistance in a composite medium with a periodic microstructure: Numerical results and exact relations

Yakov M. Strelniker, David J. Bergman

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Abstract

Generic three-dimensional (3D) exact relations are found between macroscopic or bulk-effective moduli of composite systems with related microstructures. These relations can be established between effective values of material coefficients of the same type (e.g. conductivities of two different composites) as well as between different types of material coefficients (e.g. conductivity and permittivity or conductivity and magnetic permeability). As an example of possible application of these relations, a set of Keller-like quasi-3D relations are derived for the case of columnar-shaped parallel inclusions and general orientations of the applied magnetic field.

Original languageEnglish
Pages (from-to)e1453-e1454
JournalJournal of Magnetism and Magnetic Materials
Volume272-276
Issue numberSUPPL. 1
DOIs
StatePublished - May 2004

Bibliographical note

Funding Information:
This research was supported in part by grants from the US–Israel Binational Science Foundation, the Israel Science Foundation, and the KAMEA Fellowship program of the Ministry of Absorption of the State of Israel.

Keywords

  • Composite media
  • Magnetoresistance

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