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

Micromachines

Jan Stránský¹  Jan Vorel¹  Jan Zeman¹ 

[1] Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Zikova 4, 166 36, Prague 6, Czech Republic; E-Mails:

关键词: engineering materials;    homogenization;    Mori-Tanaka method;    thermal conductivity;    imperfect interface;    finite element simulations;   

DOI  :  10.3390/mi2020129

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2011 by the authors; licensee MDPI, Basel, Switzerland.