Qualitative Equivalence Between Electrical Percolation Threshold and Effective Thermal Conductivity in Polymer/Carbon Nanocomposites

[+] Author and Article Information
Majid Baniassadi1

 Department of Advanced Materials & Structures,Centre de Recherche Public Henri Tudor, AMS, 66 Rue de Luxembourg, L-4221 Esch-sur-Alzette, Luxembourg; Department of Mechanical Engineering, University of Strasbourg, IMFS-CNRS, 2 Rue Boussingault, 67000 Strasbourg, France

Akbar Ghazavizadeh, Said Ahzi

 Department of Mechanical Engineering, University of Strasbourg, IMFS-CNRS, 2 Rue Boussingault, 67000 Strasbourg, France; Department of Mechanical Engineering,TEMA, University of Aveiro, 3810-193, Aveiro, Portugal

Yves Rémond

 Department of Mechanical Engineering, University of Strasbourg,IMFS-CNRS, 2 Rue Boussingault, 67000 Strasbourg, France

David Ruch

 Department of Advanced Materials & Structures, Centre de Recherche Public Henri Tudor, AMS, 66 Rue de Luxembourg, L-4221 Esch-sur-Alzette, Luxembourg

Hamid Garmestani

 School of Materials Science and Engineering, Georgia Institute of Technology, 771 Ferst Dr. N.W. Atlanta, GA 30332-0245


Corresponding author.

J. Eng. Mater. Technol 134(1), 010902 (Dec 12, 2011) (5 pages) doi:10.1115/1.4005410 History: Received March 30, 2011; Revised September 15, 2011; Accepted October 15, 2011; Published December 12, 2011; Online December 12, 2011

In this study, a qualitative equivalence between the electrical percolation threshold and the effective thermal conductivity of composites filled with cylindrical nanofillers has been recognized. The two properties are qualitatively compared on a wide range of aspect ratios, from thin nanoplatelets to long nanotubes. Statistical continuum theory of strong-contrast is utilized to estimate the thermal conductivity of this type of heterogeneous medium, while the percolation threshold is simultaneously evaluated using the Monte Carlo simulations. Statistical two-point probability distribution functions are used as microstructure descriptors for implementing the statistical continuum approach. Monte Carlo simulations are carried out for calculating the two-point correlation functions of computer generated microstructures. Finally, the similarities between the effective conductivity properties and percolation threshold are discussed.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 1

Six typical unit cells of dispersed carbon nanofillers from nanotubes with aspect ratios of (a) 100, (b) 50, and (c) 20, to nanoplatelets with aspect ratios of (d) 0.2, (e) 0.1, and (f) 0.05. Colors are randomly selected and their similarities do not imply any interconnection among the nanofillers

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Figure 2

Total contact surface area of nanofillers versus aspect ratio. There is a minimum at an aspect ratio around one.

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Figure 3

A Schematic of a random vector insertion within a two-phase medium

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Figure 4

Diagrams of TPCF P22 of different nanostructures versus the vector length, |r|, for the volume fraction of 0.01

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Figure 5

Diagrams of γ versus the aspect ratio of nanoparticles

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Figure 6

Diagrams of α versus the aspect ratio of nanoparticles



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