Abstract
On the basis of mean field approximation method, the formula for the longitudinal and transverse effective thermal conductivity of composite with coated fibres and the relation for effective thermal conductivity of the coated fibre of the n^th component of fibre composite are derived. In the case of binary system, the dependence of the transverse effective thermal conductivity on the ratio of the thermal conductivity of metal matrix and effective thermal conductivity of coated fibres is defined. When this ratio is larger than 1, the effective thermal conductivity may be expressed by the rule of mixture. It is shown that at a certain value of the area fraction (percolation threshold) the percolation phase transition occurs.

Key words
thermal conductivity, fibre composite, percolation analysis

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