Estimating the effective conductivity for ellipse-inclusion model with Kapitza thermal resistance

• Main Author: Nguyen Van-Luat
• Format: Article
• Language: English
• Published: EDP Sciences 2021-01-01
• Series: EPJ Applied Metamaterials
• Subjects: effective conductivity; homogenization; imperfect interface; elliptical kapitza thermal resistance
• Online Access: https://epjam.edp-open.org/articles/epjam/full_html/2021/01/epjam210004/epjam210004.html

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).