Micromachines 2011, 2(2), 129-149; doi:10.3390/mi2020129
Article

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

1 Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Zikova 4, 166 36, Prague 6, Czech Republic 2 Centre for Integrated Design of Advanced Structures, Faculty of Civil Engineering, Czech Technical University in Prague, Zikova 4, 166 36, Prague 6, Czech Republic
* Author to whom correspondence should be addressed.
Received: 21 February 2011; in revised form: 5 April 2011 / Accepted: 8 April 2011 / Published: 15 April 2011
(This article belongs to the Special Issue Advances in Micromechanics and Microengineering)
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Abstract: The purpose of this paper is to present a simple micromechanics-based model to estimate the effective thermal conductivity of 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 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.
Keywords: engineering materials; homogenization; Mori-Tanaka method; thermal conductivity; imperfect interface; finite element simulations

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MDPI and ACS Style

Stránský, J.; Vorel, J.; Zeman, J.; Šejnoha, M. Mori-Tanaka Based Estimates of Effective Thermal Conductivity of Various Engineering Materials. Micromachines 2011, 2, 129-149.

AMA Style

Stránský J, Vorel J, Zeman J, Šejnoha M. Mori-Tanaka Based Estimates of Effective Thermal Conductivity of Various Engineering Materials. Micromachines. 2011; 2(2):129-149.

Chicago/Turabian Style

Stránský, Jan; Vorel, Jan; Zeman, Jan; Šejnoha, Michal. 2011. "Mori-Tanaka Based Estimates of Effective Thermal Conductivity of Various Engineering Materials." Micromachines 2, no. 2: 129-149.

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