scholarly journals Size-dependent Eshelby tensor fields and effective conductivity of composites made of anisotropic phases with highly conducting imperfect interfaces

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
H. Le-Quang ◽  
G. Bonnet ◽  
Q.-C. He
Keyword(s):  
Effective Conductivity ◽  
Eshelby Tensor ◽  
Tensor Fields ◽  
Imperfect Interfaces ◽  
Size Dependent

scholarly journals Size dependent of the effective conductivity of composite with imperfect interfaces

2020 ◽  
Author(s):  
Nguyen Trung Kien
Keyword(s):  
Fourier Transform ◽  
Size Effect ◽  
Effective Properties ◽  
Effective Conductivity ◽  
Imperfect Interface ◽  
Numerical Results ◽  
Imperfect Interfaces ◽  
Size Dependent ◽  
Equivalent Inclusion ◽  
The Fourier Transform

Based on the circle assemblage model, the effective properties of the inclusion with imperfect interface are derived. The equivalent inclusion is incorporated in the Fourier Transform algorithm to determine the effective conductivity of the composite with lowly conducting or highly conducting interface. The size effect is considered for both cases. Numerical results are provided to illustrate the dependence of the effective conductivity on the size of inhomogeneities.

Computational Evaluation of Effective Conductivity of Particulate Composites with Imperfect Interfaces

2009 ◽  
Vol 631-632 ◽  
pp. 35-40
Author(s):  
M. Zhang ◽  
Peng Cheng Zhai ◽  
Qing Jie Zhang
Keyword(s):  
Thermal Conductivity ◽  
Effective Thermal Conductivity ◽  
Effective Properties ◽  
Effective Conductivity ◽  
Three Dimensional ◽  
Particulate Composite ◽  
Imperfect Interface ◽  
Particulate Composites ◽  
Imperfect Interfaces ◽  
Volume Fractions

This paper is aimed to numerically evaluate the effective thermal conductivity of randomly distributed spherical particle composite with imperfect interface between the constituents. A numerical homogenization technique based on the finite element method (FEM) with representative volume element (RVE) was used to evaluate the effective properties with periodic boundary conditions. Modified random sequential adsorption algorithm (RSA) is applied to generate the three dimensional RVE models of randomly distributed spheres of identical size with the volume fractions up to 50%. Several investigations have been conducted to estimate the influence of the imperfect interfaces on the effective conductivity of particulate composite. Numerical results reveal that for the given composite, due to the existence of an interfacial thermal barrier resistance, the effective thermal conductivity depends not only on the volume fractions of the particle but on the particle size.

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

2021 ◽  
Vol 8 ◽  
pp. 16
Author(s):  
Van-Luat Nguyen
Keyword(s):  
Thermal Conductivity ◽  
Fourier Transform ◽  
Thermal Resistance ◽  
Effective Conductivity ◽  
Dimensional Space ◽  
Imperfect Interface ◽  
Two Dimensional ◽  
Imperfect Interfaces ◽  
Equivalent Inclusion ◽  
Resistance Model

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).

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