Modeling the roles of carbon nanotubes and interphase dimensions in the conductivity of nanocomposites

Zare, Yasser; Rhee, Kyong Yop; Park, Soo‐Jin

doi:10.1016/j.rinp.2019.102562

Cited by 76 publications

(50 citation statements)

References 57 publications

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“…Therefore, a thick interphase effectively enhances the size of the conductive networks in the PCNT, which produces a high conductivity. The same relation between the conductivity of the nanocomposites and the interphase thickness was reported in previous work . These results show the correct predictions of the developed model for the conductivity of the PCNT.…”

Section: Resultssupporting

confidence: 88%

“…The same relation between the conductivity of the nanocomposites and the interphase thickness was reported in previous work. 38,39 These results show the correct predictions of the developed model for the conductivity of the PCNT. Figure 5(a) depicts the variation of conductivity at different values of the φ f and ⊞ f parameters.…”

Section: Conductivity Of the Pcntsupporting

confidence: 69%

“…However, an outstanding length of the CNTs causes waviness, which reduces their effectiveness in nanocomposites. An equivalent length ( l eq ), i.e.…”

Section: Expression Of Developed Equationsmentioning

confidence: 99%

“…Now, the percolation threshold and the fraction of CNTs in the networks are expressed by simple equations assuming interfacial adhesion. The percolation threshold of dispersed CNTs in the PCNT is predicted by

φ_{p} = \frac{π R^{2} l}{\frac{32}{3} π {(R + t)}^{3} ([], 1 + \frac{3}{4} ((), \frac{l_{eff}}{R + t}) + \frac{3}{32} {(\frac{l_{eff}}{R + t})}^{2})}

…”

Section: Expression Of Developed Equationsmentioning

confidence: 99%

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Effects of carbon nanotubes and interphase properties on the interfacial conductivity and electrical conductivity of polymer nanocomposites

Zare

Rhee

2020

Polymer International

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Lc is the minimum length of carbon nanotubes (CNTs) required for efficient transfer of filler conductivity to polymer matrix in polymer CNT nanocomposites (PCNTs). In this work, Lc is correlated with the dimensions of the CNTs and the interphase thickness. Subsequently, the interfacial conductivity as well as the effective length and concentration of CNTs are expressed by CNT and interphase properties. Moreover, a simple model for the tunneling conductivity of PCNTs is developed with these effective terms. The impacts of all parameters on Lc, the interfacial conductivity, the fraction of CNTs in the networks and the conductivity of the PCNT are explained and justified. In addition, the predictions of the percolation threshold and conductivity are compared with the experimental results of several samples. The desirable values of interfacial conductivity are achieved by thin, short and super‐conductive CNTs, high waviness and a thick interphase. However, thin and long CNTs, low waviness, a thick interphase, poor tunneling resistivity due to the polymer matrix and a short tunneling distance advantageously affect the conductivity of PCNTs, because they produce large conductive networks. The predictions also show good agreement with the experimental measurements of percolation threshold and conductivity, which confirms the developed equations. © 2020 Society of Chemical Industry

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Section: Resultssupporting

confidence: 88%

Section: Conductivity Of the Pcntsupporting

confidence: 69%

“…However, an outstanding length of the CNTs causes waviness, which reduces their effectiveness in nanocomposites. An equivalent length ( l eq ), i.e.…”

Section: Expression Of Developed Equationsmentioning

confidence: 99%

φ_{p} = \frac{π R^{2} l}{\frac{32}{3} π {(R + t)}^{3} ([], 1 + \frac{3}{4} ((), \frac{l_{eff}}{R + t}) + \frac{3}{32} {(\frac{l_{eff}}{R + t})}^{2})}

…”

Section: Expression Of Developed Equationsmentioning

confidence: 99%

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Effects of carbon nanotubes and interphase properties on the interfacial conductivity and electrical conductivity of polymer nanocomposites

Zare

Rhee

2020

Polymer International

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“…The roles of different parameters in interphase thickness, percolation threshold, the percentage of networked CNT and conductivity of PCNT are investigated by the developed Equations. 3D and contour plots reveal the effects of two parameters on the mentioned terms at average levels of other factors as φ f = 0.02, R = 10 nm, l = 10 μm, u = 1.2, σ f = 10 5 S/m [45] , K = 5, ρ = 100 ΩÁm, and d = 1 nm. Figure 1 shows the significances of "R" and "K" parameters on the interphase thickness based on Equation (15).…”

Section: Parametric Studiesmentioning

confidence: 99%

Effect of conductivity transportation from carbon nanotubes (CNT) to polymer matrix surrounding CNT on the electrical conductivity of nanocomposites

2019

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In this article, the interphase thickness in polymer carbon nanotubes (CNTs) nanocomposites (PCNT) is correlated to CNT radius and the extent of conductivity transportation from CNT to polymer matrix surrounding the CNT (K). In addition, CNT properties and “K” are applied to suggest the simple equations for percolation threshold and the fraction of networked CNT. A simple model is developed to predict the conductivity of PCNT assuming CNT size, “K” and tunneling resistance. The impacts of different parameters on the interphase thickness, percolation threshold, the fraction of networked CNT, and the conductivity of nanocomposites are studied and many experimental results are used to confirm the predictions. Thin and large CNT as well as high “K” cause low percolation threshold, large conductive networks and desirable conductivity in nanocomposites. Moreover, high tunneling resistivity and large tunneling distance negatively affect the conductivity, but the exceptional CNT conductivity is ineffective. The reasonable roles of all parameters in the predicted conductivity and the fine agreement between predictions and experimental results confirm the developed model.

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Effect of interfacial properties of filled carbon black nanoparticles on the conductivity of nanocomposite

Jian

2021

J of Applied Polymer Sci

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In this study, an optimized model is proposed for predicting the effective conductivity of nanocomposites, which contains conductive spherical fillers above the percolation threshold. The influence of filler properties, interphase regions, filler concentrations, elemental cell sizes as well as contact area on the effective conductivity of nanocomposites was investigated and discussed in detail.The developed model is verified by using the experimental data reported in the literatures, and it is found that the prediction results are fitted well with the experimental results at different particle concentrations. In addition, high levels of filler conductivity, particle concentration, and elemental cell size led to a good conductivity. The maximum conductivity of nanocomposite with σ eff = 1,500,000 S/m, V f = 0.07, r = 10 À4 nm, and D = 1250 nm is obtained at R i = 40 nm and d = 10 nm. Furthermore, the conductivity of nanocomposite is not sensitive to interphase thickness, when d is larger than 25 nm.

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Modeling the roles of carbon nanotubes and interphase dimensions in the conductivity of nanocomposites

Cited by 76 publications

References 57 publications

Effects of carbon nanotubes and interphase properties on the interfacial conductivity and electrical conductivity of polymer nanocomposites

Effects of carbon nanotubes and interphase properties on the interfacial conductivity and electrical conductivity of polymer nanocomposites

Effect of conductivity transportation from carbon nanotubes (CNT) to polymer matrix surrounding CNT on the electrical conductivity of nanocomposites

Effect of interfacial properties of filled carbon black nanoparticles on the conductivity of nanocomposite

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