https://doi.org/10.1051/epjam/2021010
Research Article
Estimating the effective conductivity for ellipse-inclusion model with Kapitza thermal resistance
Faculty of Mechanical Engineering, Hanoi University of Industry, 298 Cau Dien Street, Bac Tu Liem District, Hanoi, Vietnam
* e-mail: luatnv1980@gmail.com
Received:
4
March
2021
Accepted:
14
July
2021
Published online: 23 August 2021
The ellipse assemblage model with imperfect interface has quite complex microstructure, that can be considered an extension of the circle assemblage model with imperfect interfaces. The paper introduces an approximate method for computing the effective conductivity of isotropic composites with imperfect interfaces in two-dimensional space. Based on the coated-ellipse assemblage model and the equivalent inclusion approximation, one can determine the effective thermal conductivity of the composites. The polarization approximation is given in an explicit form (PEK) and this method will be applied to calculate the effective conductivity of the composite with Kapitza thermal resistance model. The PEK result will have compared with the Fast Fourier Transform (FFT) simulation and Hashin-strikman bounds (HS).
Key words: Effective conductivity / homogenization / imperfect interface / elliptical Kapitza thermal resistance
© V.-L. Nguyen, Published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
