EXACT RELATIONS FOR EFFECTIVE CONDUCTIVITY OF FIBER-REINFORCED CONDUCTING COMPOSITES WITH THE HALL EFFECT VIA A GENERAL THEORY

摘要

In this paper we apply the general theory of exact relations to derive all microstructureindependent relations for effective conductivity of fiber-reinforced composites with the Hall effect. We also derive all possible links between effective conductivities of two composites that have the same microstructure but are built using different materials. Our results hold for any number of constituents with any anisotropy. This paper is a record of the work of 14 undergraduate students in the NSF-sponsored REU (Research Experience for Undergraduates) program led by the author.