Statistical continuum theory for the effective conductivity of carbon nanotubes filled polymer composites

M. Baniassadi, A. Laachachi, A. Makradi, S. Belouettar, D. Ruch, R. Muller, H. Garmestani, V. Toniazzo, Said Ahzi

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The effective thermal conductivity of polymer nanocomposites filled with carbon nanotubes (CNTs) is studied using statistical continuum theory. A three-dimensional isotropic nanocomposite samples with randomly oriented CNTs are computer generated and used to calculate the effective thermal conductivity. The CNTs orientation, shape and spatial distribution are taken into account through two-point and three-point probability functions. The effect of filler content is studied by considering samples with filler contents vary form 1 to 10 wt%. The predicted effective conductivity is compared to our experiment, where the polymer matrix is taken to be poly(methyl methacrylate) (PMMA) filled with multiwalled carbon nanotubes (MWCNTs). Relative to the pure poly(methyl methacrylate) both the modeling and the experiment show an increase of the thermal conductivity as function of the MWCNTs volume fraction. However, the predicted results overestimate the experimental data, which might due the CNTs agglomerations. Therefore, the predicted effective conductivities have been compared to experimental results in order to estimate the volume fraction of CNT agglomeration.

Original languageEnglish
Pages (from-to)33-37
Number of pages5
JournalThermochimica Acta
Volume520
Issue number1-2
DOIs
Publication statusPublished - 10 Jun 2011
Externally publishedYes

Fingerprint

Filled polymers
Carbon Nanotubes
Carbon nanotubes
carbon nanotubes
continuums
conductivity
composite materials
Composite materials
polymers
Thermal conductivity
Multiwalled carbon nanotubes (MWCN)
Polymethyl Methacrylate
Polymethyl methacrylates
Fillers
thermal conductivity
Volume fraction
Nanocomposites
Agglomeration
agglomeration
fillers

Keywords

  • Effective thermal conductivity
  • Polymer nanocomposites
  • Probability functions
  • Statistical continuum theory

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Condensed Matter Physics
  • Instrumentation

Cite this

Statistical continuum theory for the effective conductivity of carbon nanotubes filled polymer composites. / Baniassadi, M.; Laachachi, A.; Makradi, A.; Belouettar, S.; Ruch, D.; Muller, R.; Garmestani, H.; Toniazzo, V.; Ahzi, Said.

In: Thermochimica Acta, Vol. 520, No. 1-2, 10.06.2011, p. 33-37.

Research output: Contribution to journalArticle

Baniassadi, M, Laachachi, A, Makradi, A, Belouettar, S, Ruch, D, Muller, R, Garmestani, H, Toniazzo, V & Ahzi, S 2011, 'Statistical continuum theory for the effective conductivity of carbon nanotubes filled polymer composites', Thermochimica Acta, vol. 520, no. 1-2, pp. 33-37. https://doi.org/10.1016/j.tca.2011.02.037
Baniassadi, M. ; Laachachi, A. ; Makradi, A. ; Belouettar, S. ; Ruch, D. ; Muller, R. ; Garmestani, H. ; Toniazzo, V. ; Ahzi, Said. / Statistical continuum theory for the effective conductivity of carbon nanotubes filled polymer composites. In: Thermochimica Acta. 2011 ; Vol. 520, No. 1-2. pp. 33-37.
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