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Dependence of the percolation threshold of carbon nanotubes on the degree of their dispersion in the polymer matrix of nanocomposites

https://doi.org/10.31143/2221-7789-2026-2-11-15

EDN: TRXMRZ

Abstract

It has been shown that the percolation threshold, anisotropy level, and degree of dispersion of carbon nanotubes are not independent characteristics. Such indicators are the structure of aggregates and the content of nanofiller. The value of the fractal dimension of the structure allows us to predict the properties of polymer nanocomposites.

About the Authors

Ilya I. Dolbin
Russian State University of Tourism and Service
Russian Federation


Igor V. Dolbin
Kabardino-Balkarian State University
Russian Federation


References

1. Šupova M., Martynkova G.S., Barabaszova K. Effect of nanofiller dispersion in polymer matrices: A review // Sci. Advanced Mater. 2011. V. 3, N 1. P. 1–25.

2. By J.L., Ma P.C., Chow W.S., To C.K., Tang B.Z., Kim J.-K. Correlations between percolation threshold, dispersion state, and aspect ratio of carbon nanotubes // Adv. Funct. Mater. 2007. V. 17, N 11. P. 3207–3215.

3. Zhang Q., Pastogi S., Chen D., Lippits D., Lemstra P.J. Low percolation threshold in single-walled carbon nanotube/high density polyethylene composites prepared by melt processing technique // Carbon. 2006. V. 44, N 4. P. 778–785.

4. Kozlov G.V., Dolbin I.V., Karnet Yu.N., Vlasov A.N., Dolbin I.I. Modeling of carbon nanotubes (nanofibers) as macromolecular balls – a model of a freely jointed chain. Mekhanika kompozitsionnykh materialov i konstruktsiy = Mechanics of composite materials and structures. 2025;31(1):74–81.

5. Dolbin I.I., Kumysheva Yu.A., Kazancheva L.A., Dolbin I.V., Davydova V.V. Proportionality of the con-tent of nanofiller and interfacial regions in polymer nanocomposites. Izvestiya Kabardino-Balkarskogo Gosudarstvennogo Universiteta = Proceedings the Kabardino-Balkarian State University. 2025;15(3):34–39.

6. Dolbin I.I., Dolbin I.V., Davydova V.V., Chavdar U.D. Modeling the degree of reinforcement of dispersed-filled polyethylene/hydroxyapatite composites within the framework of fractal analysis. Izvestiya Kabardino-Balkarskogo Gosudarstvennogo Universiteta = Proceedings the Kabardino-Balkarian State University. 2026;16(1):10–14.

7. Kim H., Macosco C.W. Processing-property relationship of polycarbonate/grapheme composites // Polymer. 2009. V. 50, N 13. P. 3797–3809.

8. Kozlov G.V., Dolbin I.V. Modeling the degree of reinforcement of elastomer/2D nanofiller nanocomposites. Izvestiya Vysshikh Uchebnykh Zavedenii. Khimiya i Khimicheskaya Technologiya = ChemChemTech. 2022;65(1):38–43.

9. Bobryshev A.N., Kozomazov V.N., Babin L.O., Solomatov V.I. Synergetics of composite materials. Lipetsk: NPO ORIUS; 1994. 154 p.

10. Atlukhanova L.B., Kozlov G.V. Physicochemistry of polymer-carbon nanotube nanocomposites. Мoscow: Sputnik +; 2020. 292 р.

11. Jeong W., Kessler M.P. Toughness enhancement in ROMP functionalized carbon nanotube/polydicyclopentadiene composites // Chem. Mater. 2008. V. 20, N 22. P. 7060–7068.

12. Atlukhanova L.B., Dolbin I.V. The interconnection of properties and dispersion degree of nanofiller for nanocomposites polymer/carbon nanotube. Nanoindustriya = Nanoindustry. 2024;17(1):74–79.

13. Schaefer D., Justice R.S. How nano are nanocomposites? // Macromolecules. 2007. V. 40, N 24.

14. P. 8501–8517.


Review

For citations:


Dolbin I.I., Dolbin I.V. Dependence of the percolation threshold of carbon nanotubes on the degree of their dispersion in the polymer matrix of nanocomposites. Proceedings of the Kabardino-Balkarian State University. 2026;16(2):11-15. (In Russ.) https://doi.org/10.31143/2221-7789-2026-2-11-15. EDN: TRXMRZ

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ISSN 2221-7789 (Print)