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The purpose of this paper is to present a simple micromechanics-based modelto estimate the effective thermal conductivity of real-world macroscopicallyisotropic materials of matrix-inclusion type. The methodology is based on thewell-established Mori-Tanaka method for composite media reinforced withellipsoidal inclusions, extended to account for imperfect thermal contact atthe matrix-inclusion interface, random orientation of particles and particlesize distribution. Using simple ensemble averaging arguments, we show that theoriginal Mori-Tanaka relations are still applicable for these complex systems,provided that the inclusion conductivity is appropriately modified. Suchconclusion is supported by the verification of the model against a detailedfinite-element study as well as its validation against experimental data for awide range of engineering material systems.

Mori-Tanaka Based Estimates of Effective Thermal Conductivity of Various Engineering Materials