Abstract
We consider the problem of determining the effective electrical conductivity tensor of a metal composite with ideal (biperiodic) packing of the fibers. We assume that the transverse cross sections of the fiber are concentric circular rings and have identical electrical conductivity. We look for a solution in the form of a series in Weierstrassian elliptic functions with subsequent averaging of the electrical properties of the structure.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 33, No. 3, pp. 377–383, May–June, 1997.
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Fil'shtinskii, L.A., Bardzokas, D. Averaging the electrical properties of fiber-reinforced metal composites with hollow fibers. Mech Compos Mater 33, 269–274 (1997). https://doi.org/10.1007/BF02256085
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DOI: https://doi.org/10.1007/BF02256085