Estimates of Effective Thermal-Conductivity Coefficient of the Composite Having an Intermediate Layer between the Fiber and Matrix

A mathematical model of heat transfer in a composite reinforced with long anisotropic fibers oriented in one direction is built. A possibility of arising of an intermediate layer between the fibers and matrix is taken into consideration. Based on this model, formulas are derived for calculation of effective thermal-conductivity coefficients of this composite in the fiber direction and in the plane perpendicular to this direction. The dual variational formulation of the stationary heat conduction problem was applied for performing the double-ended estimates of a probable value of the second coefficient. The results can be used for predicting the effective thermal conductivity of fiber composites.

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