A theory of the thermal conductivity of composite materials

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Abstract
The authors calculate the thermal conductivity of composite materials containing thinly dispersed spheroidal inclusions by solving the associated problem of heat flow across one such inclusion embedded in an infinite matrix in the presence of thermal boundary resistance. The theory shows good agreement with experimental data for different composites containing inclusions of various substance, size and geometry, at temperatures ranging from 2 to 300K. By taking thermal boundary resistance into account in a treatment closely paralleling that of Meredith and Tobias (1960), they also extend the calculation to composites with densely packed spherical inclusions, which is again found to be in close agreement with experiment.

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