A two-step approach is proposed to forecast the conductivity of graphene polymer composites using simple models reflecting the tunneling mechanism and interphase part. Firstly, graphene and the adjacent interphase are presumed as figurative particles, and their conductivity is estimated. In the second stage, the conductivity of the nanocomposite containing figurative particles is predicted, considering the tunneling size between adjacent particles. The advanced methodology is used to forecast the conductivity for real examples. Additionally, the implications of all terms on the nanocomposite conductivity are assessed and explained. The estimations of conductivity acceptably agree with the measured data, which justifies the predictability of the suggested methodology. Thick interphase and short tunnels produce desirable conductivity, because they positively influence the net dimensions and tunneling resistance. Among the studied parameters, the thicknesses of graphene nanosheets and interphase have the highest impacts on the nanocomposite conductivity. The highest conductivity of nanocomposite as 7 S/m is obtained by the thickest interphase (ti = 10 nm) and the thinnest nanosheets (t = 1 nm), while t > 2 nm or ti < 5.5 nm cannot improve the conductivity. Furthermore, graphene volume fraction of 0.03 with the graphene diameter of 4 μm maximizes the nanocomposite conductivity to 3 S/m, but less filler amount and shorter nanosheets weaken the conductivity of nanocomposites.
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