Thermal Conductivity of Composite Reinforced with Fibers

Composites consisting of a matrix and variform inclusions are widely used as constructional and functional materials in various instrument devices. A significant amount of works is devoted to research of thermal conductivity of composites. However the calculating formulas, as a rule, are deduced as a result of experimental data processing applying to a specific material, or by a priori indicating of temperature distribution and heat flow in models of heterogeneous body structure. The paper presents a mathematical model of heat transfer in a composite with fiber shape inclusions. The model is used for finding the effective thermal conductivity of such composite. Also the dual variational formulation of the stationary thermal conductivity problem was applied for estimating possible error of received results. The results can be used for prediction the effective thermal conductivity of composites modified with nanoparticles.

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