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Article Dans Une Revue SIAM Journal on Applied Mathematics Année : 2010

New bounds on strong field magneto-transport in multiphase columnar composites

Marc Briane
Graeme W. Milton
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Résumé

This paper provides new bounds on the effective properties in dimension two of multiphase composites with isotropic phases having nonsymmetric conductivities. This is relevant to classical strong field magneto-transport in heterogeneous conductors with columnar microstructure, with a magnetic field in the direction of the columns. On the one hand, a polygon-like G-closure for multiphase composites without prescribed volume fractions is derived for isotropic effective resistivities. On the other hand, the G-closure of the possible average currents associated with a given applied electric field is found for anisotropic multiphase composites with prescribed volume fractions. This extends the G-closure result obtained by Ra˘ıtum and Tartar for symmetric conductivities.
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Dates et versions

hal-00560455 , version 1 (22-12-2017)

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Marc Briane, Graeme W. Milton. New bounds on strong field magneto-transport in multiphase columnar composites. SIAM Journal on Applied Mathematics, 2010, 70 (8), pp.3272-3286. ⟨10.1137/100798090⟩. ⟨hal-00560455⟩
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