Equivalent Inclusion Approach and Approximations for Thermal Conductivity of Composites with Fibrous Fillers

A simple method is introduced for computing the effective conductivity of isotropic composite with imperfect interface. Based on the doubly-coated circle assemblage model, one can determine the effective thermal conductivity of the composite. The application of this model to the composite with imperfect interface of the Kapitza's type is proposed. The results obtained were compared with the FFT simulation and the equivalent inclusion approximation in 2D show the effectiveness of the methods.

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

EPJ Applied Metamaterials ◽

10.1051/epjam/2021010 ◽

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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EVALUATION OF THERMAL CONDUCTIVITY FOR CEMENTITIOUS COMPOSITES BASED ON EQUIVALENT INCLUSION THEORY

Journal of Structural and Construction Engineering (Transactions of AIJ) ◽

10.3130/aijs.67.23_1 ◽

2002 ◽

Vol 67 (552) ◽

pp. 23-30 ◽

Cited By ~ 1

Author(s):

Shigeharu NAKAMURA ◽

Yoshihiro MASUDA ◽

Toshimasa KONISHI ◽

Kimiko KOHRI

Keyword(s):

Thermal Conductivity ◽

Cementitious Composites ◽

Equivalent Inclusion ◽

Inclusion Theory

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Equivalent inclusion approach and approximations for conductivity of isotropic matrix composites with sphere-like, platelet, and fibrous fillers

Journal of Reinforced Plastics and Composites ◽

10.1177/0731684418772911 ◽

2018 ◽

Vol 37 (14) ◽

pp. 968-980

Author(s):

Trung Kien Nguyen ◽

Duc Chinh Pham ◽

Quoc Hoang Do

Keyword(s):

Experimental Data ◽

Effective Medium ◽

Matrix Composites ◽

Conductivity Data ◽

Isotropic Matrix ◽

Equivalent Inclusion ◽

Circular Fiber ◽

Experimental Reference ◽

Fibrous Fillers

The construction starts from certain typical effective medium approximations for conductivity of idealistic isotropic matrix composites with randomly oriented inclusions of perfect spherical, platelet, and circular fiber forms, which obey Hashin–Shtrikman bounds over all the ranges of volume proportions of the component materials. Equivalent inclusion approach is then developed to account for possible diversions, such as non-idealistic geometric forms of the inhomogeneities, imperfect matrix-inclusion contacts, filler dispersions, and when the particular values of the fillers’ properties are unspecified, using available numerical or experimental reference conductivity data for particular composites. Illustrating applications involving experimental data from the literature show the usefulness of the approach.

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