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Article

Development of Expanded Takayanagi Model for Tensile Modulus of Carbon Nanotubes Reinforced Nanocomposites Assuming Interphase Regions Surrounding the Dispersed and Networked Nanoparticles

Department of Mechanical Engineering, College of Engineering, Kyung Hee University, Yongin 446-701, Korea
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Author to whom correspondence should be addressed.
Polymers 2020, 12(1), 233; https://doi.org/10.3390/polym12010233
Received: 17 December 2019 / Revised: 15 January 2020 / Accepted: 16 January 2020 / Published: 17 January 2020
In this paper, we consider the interphase regions surrounding the dispersed and networked carbon nanotubes (CNT) to develop and simplify the expanded Takayanagi model for tensile modulus of polymer CNT nanocomposites (PCNT). The moduli and volume fractions of dispersed and networked CNT and the surrounding interphase regions are considered. Since the modulus of interphase region around the dispersed CNT insignificantly changes the modulus of nanocomposites, this parameter is removed from the developed model. The developed model shows acceptable agreement with the experimental results of several samples. “ER” as nanocomposite modulus per the modulus of neat matrix changes from 1.4 to 7.7 at dissimilar levels of “f” (CNT fraction in the network) and network modulus. Moreover, the lowest relative modulus of 2.2 is observed at the smallest levels of interphase volume fraction ( ϕ i < 0.017), while the highest “ ϕ i ” as 0.07 obtains the highest relative modulus of 11.8. Also, the variation of CNT size (radius and length) significantly changes the relative modulus from 2 to 20. View Full-Text
Keywords: polymer CNT nanocomposites; filler network; interphase; tensile modulus; modeling polymer CNT nanocomposites; filler network; interphase; tensile modulus; modeling
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MDPI and ACS Style

Zare, Y.; Rhee, K.Y. Development of Expanded Takayanagi Model for Tensile Modulus of Carbon Nanotubes Reinforced Nanocomposites Assuming Interphase Regions Surrounding the Dispersed and Networked Nanoparticles. Polymers 2020, 12, 233. https://doi.org/10.3390/polym12010233

AMA Style

Zare Y, Rhee KY. Development of Expanded Takayanagi Model for Tensile Modulus of Carbon Nanotubes Reinforced Nanocomposites Assuming Interphase Regions Surrounding the Dispersed and Networked Nanoparticles. Polymers. 2020; 12(1):233. https://doi.org/10.3390/polym12010233

Chicago/Turabian Style

Zare, Yasser, and Kyong Y. Rhee. 2020. "Development of Expanded Takayanagi Model for Tensile Modulus of Carbon Nanotubes Reinforced Nanocomposites Assuming Interphase Regions Surrounding the Dispersed and Networked Nanoparticles" Polymers 12, no. 1: 233. https://doi.org/10.3390/polym12010233

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