Qualitative equivalence between electrical percolation threshold and effective thermal conductivity in polymer/carbon nanocomposites

Majid Baniassadi, Akbar Ghazavizadeh, Yves Rémond, Said Ahzi, David Ruch, Hamid Garmestani

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2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number010902
JournalJournal of Engineering Materials and Technology, Transactions of the ASME
Volume134
Issue number1
DOIs
Publication statusPublished - 1 Jan 2012

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Keywords

  • Monte Carlo simulationintegration
  • electrical percolation threshold
  • strong-contrast homogenization technique
  • thermal conductivity
  • two-pointthree-point correlation functions

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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