Study of thermal conductivity of phenylone-based polymer composites within the framework of fractal analysis
https://doi.org/10.31143/2221-7789-2026-1-05-09
EDN: CFEUOQ
Abstract
It has been shown that the thermal conductivity of phenylon-based carbon fiber can be described within the framework of fractal analysis. Depending on the size of the core (system) of filler fibers, such a description can be obtained by applying two limiting cases: a case-specific network of resistors and a random superconducting network. It is obtained that in the case of a superconducting network, the thermal conductivity coefficient is controlled by the fractal dimension of the walk or the number of available places for this process of the core of the filler fibers.
About the Authors
Vladimir Z. Aloev
Kabardino-Balkarian State Agricultural University
Russian Federation
Russian Federation
Zaira M. Zhirikova
Kabardino-Balkarian State Agricultural University
Russian Federation
Russian Federation
References
1. Siebland X. Heat and electrical conductivity of polymer composite materials // Industrial polymer composite materials / ed. M. Richardson. M.: Chemistry, 1980. P. 284–319.
2. Kozlov G.V., Bura A.I., Ovcharenko E.N. Thermal conductivity of phenylon-based carbon plastics //
3. Izvestiya KBSC RAS. 2006. No. 1. P. 137–141.
4. Kozlov G.V., Zaikov G.E., Burya A.I., Dolbin I.V. Fractal model of the heat conductivity for carbon fiberreinforced aromatic polyamide // Journal Of Applied Polymer Science. 2006. V. 100, N 5. P. 3828–3831.
5. Kozlov G.V., Mikitaev A.K. A new approach to fractal dissimilarities of the structure of polymer dispersed-filled composites // Mechanics of composite materials and structures. 1996. Vol. 2, No. 3-4. Pp. 144–154.
6. Novikov V.U., Kozlov G.V. Fractal parameterization of the structure of filled polymers //
7. Mechanics of composite materials. 1999. Vol. 35, No. 3. Pp. 269–290.
8. Stanley, H. V. Dynamic Properties of Fractal Structures // Fractals in Physics / ed. by L. Pietronero and E. Tosatti. Moscow: Mir. 1988. Pp. 463–477.
9. Meakin P., Coniglo A., Stanley H.E., Witten T.A. Scaling properties for the surfaces of fractal and nonfractal objects: an infinite hierarchy of critical exponents // Phys. Rev. A. 1986. V. 34, N 4. P. 3325–3340.
10. Alexander S., Orbach R. J. Density of states on fractals: «fractons» // Journal de Physique Lettres. Paris. 1982. V. 43, N 17. P. L625–L631
11. Bura A.I., Kozlov G.V., Rula I.V. Generalized Technique for Estimating the Content of Interfacial Regions in Polymer Composites // News of the Dnieper Science. 2004. No. 3. Pp. 8–11.
Review
For citations:
Aloev V.Z., Zhirikova Z.M. Study of thermal conductivity of phenylone-based polymer composites within the framework of fractal analysis. Proceedings of the Kabardino-Balkarian State University. 2026;16(1):5-9. (In Russ.) https://doi.org/10.31143/2221-7789-2026-1-05-09. EDN: CFEUOQ
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