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Development of Conventional Paul Model for Tensile Modulus of Polymer Carbon Nanotube Nanocomposites After Percolation Threshold by Filler Network Density

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Abstract

In this paper, Paul’s model is advanced to forecast the tensile modulus of polymer nanocomposites reinforced by carbon nanotubes (CNT) above percolation onset. The developed model assumes the CNT network density by CNT aspect ratio (α), percolation onset and CNT density (n). The experimental results from several samples containing a filler network confirm the predictability of the advanced model. However, undesirable results are reported for the samples without the filler network. Also, both α and n directly manipulate the nanocomposite’s modulus above percolation onset, because they positively influence the polymer-CNT interfacial area and network size. The reasonable effects of α, n and percolation onset on the predicted moduli of nanocomposites validate the developed Paul model.

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Acknowledgments

This work was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science, and Technology (Project Number: 2020R1A2B5B02002203).

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Authors and Affiliations

  1. Biomaterials and Tissue Engineering Research Group, Department of Interdisciplinary Technologies, Breast Cancer Research Center, Motamed Cancer Institute, ACECR, Tehran, Iran

    Yasser Zare

  2. Department of Mechanical Engineering, College of Engineering, Kyung Hee University, 1 Seocheon, Giheung, Yongin, Gyeonggi, 449-701, Republic of Korea

    Kyong Yop Rhee

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  1. Yasser Zare
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Zare, Y., Rhee, K.Y. Development of Conventional Paul Model for Tensile Modulus of Polymer Carbon Nanotube Nanocomposites After Percolation Threshold by Filler Network Density. JOM 72, 4323–4329 (2020). https://doi.org/10.1007/s11837-020-04398-9

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  • DOI: https://doi.org/10.1007/s11837-020-04398-9

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