Abstract

Within the framework of the model of regular structures, we average the magnetic properties of fibrous ferromagnetic composites with biperiodic structure. For the general case of packing of the fibers in any cross section, the problem is reduced to finding certain functionals determined from the solutions of a regular integral equation of the corresponding boundary-value problem of magnetostatics for the structure. For a special case of packing of the fibers with circular cross section, the solution is constructed in the form of a series in elliptic functions. As a result, we obtain approximate formulas for the macroparameters of the composites with perfect cells.

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