Estimations of the effective conductivity of anisotropic multiphase composites with imperfect interfaces

Abstract. Many effective medium approximations for effective conductivity are elaborated for matrix composites made from isotropic continuous matrix and isotropic inclusions associated with simple shapes such as circles or spheres, . . . In this paper, we focus specially on the effective conductivity of the isotropic composites containing the disorderly oriented anisotropic inclusions. We aim to replace those inhomogeneities by simple equivalent circular (spherical) isotropic inclusions with modified conductivities. Available simple approximations for the equivalent circular (spherical)-inclusion media then can be used to estimate the effective conductivity of the original composite. The equivalentinclusion approach agrees well with numerical extended finite elements results.

show abstract

“…In the special case the anisotropic inclusions have the circular (spherical) shape, (1) has the particular expression [18] …”

Section: The Equivalent-inclusion Approachmentioning

confidence: 99%

Equivalent-inclusion approach for the conductivity of isotropic matrix composites with anisotropic inclusions

Hoang

Chinh

2016

Vietnam J. Mech.

View full text Add to dashboard Cite

show abstract

“…Hence various approximate formulae have been developed to estimate the effective properties, from the simplest volume arithmetic and harmonic averages to the more-advanced effective medium approximations (EMA) [1,2]. One of the most notable EMAs applied to matrix composites is the Mori-Tanaka one, which has been used widely in applications [3][4][5][6]. Likes many other EMAs, the Mori-Tanaka approximation has been derived from the field equations using analytical dilute solution results for ellipsoidal inclusions suspended in a major matrix.…”

Section: Introductionmentioning

confidence: 99%

Polarization versus Mori-Tanaka approximations for effective conductivity of isotropic composites

2018

View full text Add to dashboard Cite

Our polarization approximations for the effective conductivity of isotropic multicomponent materials, constructed recently as approximate solutions to the minimum energy principles, are compared with the widely used Mori-Tanaka approximation, derived as an approximate solution of the field equations. The similarities and differences, advantages and disadvantages of both approaches are analysed with illustrating numerical examples.

show abstract

“…Examples for composites with coated inclusions is micro-encapsulated paraffin-spheres, which has been studied in different experiments on thermal regulations of buildings (Karkri et al [24,25]). Theoretical modeling works on the effective thermal properties, which consider such resistance, are, for example, Quang et al [26,27,28] and Andrianov et al. [29].…”

Section: Introductionmentioning

confidence: 99%

Asymptotic analysis of heat transfer in composite materials with nonlinear thermal properties

Andrianov

Topol

Danishevskyy

2017

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

We study heat transfer through a composite with periodic microstructure. The thermal conductivity of the constituents is assumed to be temperature-dependent, and it is modeled as a polynomial in terms of the temperature. The thermal resistance between the constituents is taken to be nonlinear. In order to determine the effective thermal properties of the material, we apply the asymptotic homogenization method. We discuss different approaches to determine these effective properties for the different volume fractions of the inclusions. For high volume fractions of the inclusion, we apply the lubrication theory. In the case of low volume fractions of the inclusions, we apply the three-phase model. Comparing some special cases of our results to existing ones in the literature shows a good accuracy.

show abstract

Estimations of the effective conductivity of anisotropic multiphase composites with imperfect interfaces

Cited by 53 publications

References 28 publications

Equivalent-inclusion approach for the conductivity of isotropic matrix composites with anisotropic inclusions

Equivalent-inclusion approach for the conductivity of isotropic matrix composites with anisotropic inclusions

Polarization versus Mori-Tanaka approximations for effective conductivity of isotropic composites

Asymptotic analysis of heat transfer in composite materials with nonlinear thermal properties

Contact Info

Product

Resources

About