An application of the general theory of exact relations to fiber-reinforced conducting composites with Hall effect

In this paper we present the exhaustive and non-redundant list of all microstructure-independent relations for effective conductivity of fiber-reinforced composites with Hall effect. Our results are independent of the number of constituents and the degree of their anisotropy. We use this to apply our results to both polycrystals and two-phase composites. Our tool is the general theory of exact relations for composite materials developed in collaboration with Graeme Milton and Daniel Sage.