Mori-Tanaka Based Estimates of Effective Thermal Conductivity of Various Engineering Materials
| Autor: | Stránský, Jan, Vorel, Jan, Zeman, Jan, Šejnoha, Michal |
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| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | Micromachines 2(2):129-149, 2011 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3390/mi2020129 |
| Popis: | The purpose of this paper is to present a simple micromechanics-based model to estimate the effective thermal conductivity of real-world macroscopically isotropic materials of matrix-inclusion type. The methodology is based on the well-established Mori-Tanaka method for composite media reinforced with ellipsoidal inclusions, extended to account for imperfect thermal contact at the matrix-inclusion interface, random orientation of particles and particle size distribution. Using simple ensemble averaging arguments, we show that the original Mori-Tanaka relations are still applicable for these complex systems, provided that the inclusion conductivity is appropriately modified. Such conclusion is supported by the verification of the model against a detailed finite-element study as well as its validation against experimental data for a wide range of engineering material systems. Comment: Corrected Eqs. (23), (38) and (39); 21 pages, 11 figures |
| Databáze: | arXiv |
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