The application of modified mixture rule for description of modulus of elasticity of nanocomposites poly(methyl methacrylate)/carbon nanotubes
https://doi.org/10.35164/0554-2901-2020-5-6-33-35
Abstract
It is shown that the simple rule of mixtures describes correctly the elastic modulus of polymer/carbon nanotubes nanocomposites, if the real characteristics of the nanofill are used instead of the nominal ones. These characteristics are determined by the structure of carbon nanotubes in the polymer matrix. The factor of effective length (aspect ratio) of carbon nanotubes pays the main contribution to nanocomposites stiffness.
About the Authors
L. B. Atlukhanova
Dagestan State Medical University
Russian Federation
Russian Federation
Makhachkala.
G. V. Kozlov
Kh.M. Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
Nal'chik.
I. V. Dolbin
Kh.M. Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
Nal'chik.
References
1. Coleman J.N., Cadek M., Ryan K.P., Fonseca A., Nady J.B., Blau W.J., Ferreira M.S. Reinforcement of polymers with carbon nanotubes. The role of an ordered polymer interfacial region. Experiment and modeling // Polymer. 2006. V. 47. №23. P. 8556-8561.
2. Blond D., Barron V., Ruether M., Ryan K.P., Nicolosi V., Blau W.J., Coleman J.N. Enhancement of modulus, strength and toughness in poly(methyl methacrylate)-based composites by the incorporation of poly(methyl methacrylate)-functionalized nanotubes // Adv. Func. Mater. 2006. V. 16. №12. P. 1608-1614.
3. Shaffer M.S.P., Windle A.H. Fabrication and characterization of carbon nanotubes/poly(vinyl alcohol) composites // Adv. Mater. 1999. V. 11. №11. P. 937-941.
4. Schaefer D.W., Zhao J., Dowty H., Alexander M., Orler E.B. Carbon nanofibre reinforcement of soft materials // Soft Matter. 2008. V. 4. №10. P. 2071-2079.
5. Schaefer D.W., Justice R.S. How nano are nanocomposites? // Macromolecules. 2007. V. 40. №24. P. 8501-8517.
6. Justice R.S., Wang D.H., Tan L.-S., Schaefer D.W. Simplified tube form factor for analysis of small-angle scattering data from carbon nanotube filled systems // J. Appl. Crystallography. 2007. V. 40. №4. P. 588-592.
7. Kozlov G.V., Dolbin I.V., Zaikov G.E. The Fractal Physical Chemistry of Polymer Solutions and Melts. Toronto, New Jersey: Apple Academic Press, 2014. 316 p.
8. Mikitaev A.K., Kozlov G.V. The effect of the ultrasound treatment on the structure of carbon nanotubes in polymer nanocomposites // Inorganic Materials: Applied Research. 2016. V. 7. №3. P. 434-436.
9. Mikitaev A.K., Kozlov G.V. Description of the degree of reinforcement of polymer/carbon nanotube nanocomposites in the framework of percolation models // Physics of the Solid State. 2015. V. 57. №5. P. 974-977.
10. Mikitaev A.K., Kozlov G.V. Modeling of carbon nanotubes (nanofibers) as macromolecular coils // Russian Physics J. 2015. V. 58. №8. P. 3-7.
Review
For citations:
Atlukhanova L.B., Kozlov G.V., Dolbin I.V. The application of modified mixture rule for description of modulus of elasticity of nanocomposites poly(methyl methacrylate)/carbon nanotubes. Plasticheskie massy. 2020;(5-6):33-35. (In Russ.) https://doi.org/10.35164/0554-2901-2020-5-6-33-35
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