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a) b - École Polytechnique de Montréal

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epoxy as a function of nanotube weight fraction. Consequently, insulator to conductor transition<br />

is attributed to the critical amount of filler necessary to build up a continuous conductive<br />

network, resulting in a tremendous change in the electrical conductivity(Du et al., 2004).<br />

Figure 2-18. Simultaneous measurement of the nanocomposite (MWCNT/epoxy) electrical<br />

conductivity as function of the nanotube weight fraction, performed in the liquid state prior to<br />

curing at 0.1 s −1 and 20 °C. The rheological percolation threshold is located at 0.1 wt% and the<br />

electrical one at 0.04 wt%(Du, et al., 2004).<br />

Since the polymer blends containing conductive filler with continuous structures are universality<br />

systems, the conductivity value for filler loading fractions higher than the filler percolation<br />

threshold can be calculated with regards to the critical concentration of conductive material<br />

(percolation threshold) pc by the following scaling law(Kirkpatrick, 1973; Stauffer & Aharony,<br />

1994b).<br />

Equation 2-43. σ <br />

Equation 2-44. σσ <br />

47

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