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A correction was published on 25 July 2011, see Micromachines 2011, 2(3), 344.

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

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

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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 engineering materials; homogenization; Mori-Tanaka method; thermal conductivity; imperfect interface; finite element simulations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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