AVERAGING THE ELECTRICAL-PROPERTIES OF FIBER-REINFORCED METAL COMPOSITES

Using the regular structure model, we average the electrical propertie s of unidirectional fiber-reinforced metal composites and propose proc edures for determination of the effective electrical conductivity tens or of these materials. For the general case of packing of fibers of ar bitrary cross section, the problem is reduced to calculation of some f unctionals determined in solutions of the integral equation of the cor responding boundary current problem for the structure. In the special case of symmetric packing of fibers of circular cross section, the sol ution is written in the form of series in elliptic functions.