phmathВестник Государственного университета просвещения. Серия: Физика-МатематикаBulletin of Federal State University of Education. Series: Physics and Mathematics2949-50832949-5067Federal State University of Education10.18384/2949-5067-2024-1-6-19phmath-615Research ArticleФИЗИКАPHYSICSВязкоупругость углеродных нанотрубок в полимерной матрицеViscoelasticity of carbon nanotubes in a polymer matrixhttps://orcid.org/0000-0001-9100-9526ВековищевМ. П.VekovishchevM. P.

Вековищев Михаил Петрович – кандидат физико-математических наук, доцент кафедры физики и химии

140411, Московская обл., г. Коломна, ул. Зелёная, д. 30

Mikhail P. Vekovishchev– Cand. Sci. (Phys.-Math.), Assoc. Prof., Department of Physics and Chemistry 

mpv.71@mail.ruhttps://orcid.org/0000-0003-3030-7989КирсановЕ. А.KirsanovE. A.

Кирсанов Евгений Александрович – кандидат физико-математических наук, доцент кафедры физики и химии

140411, Московская обл., г. Коломна, ул. Зелёная, д. 30

Evgeny A. Kirsanov – Cand. Sci. (Phys.-Math.), Assoc. Prof., Department of Physics and Chemistry

Kirsanov47@mail.ruГосударственный социально-гуманитарный университетРоссияState University of Humanities and Social StudiesRussian Federation20241303202401619Copyright © Вековищев М.П., Кирсанов Е.А., 20242024Вековищев М.П., Кирсанов Е.А.Vekovishchev M.P., Kirsanov E.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.physmathmgou.ru/jour/article/view/615Цель

Цель: рассмотреть вязкоупругие характеристики расплавов полимерных композитов с наполнителем в виде углеродных нанотрубок.

Процедура и методы

Процедура и методы. Проведена аппроксимация экспериментальных данных динамических измерений уравнениями структурной реологической модели на отдельных интервалах циклической частоты сдвиговых колебаний.

Результаты

Результаты. Показана возможность применения уравнений структурной модели для описания реологических кривых в условиях линейной вязкоупругости. Установлена связь коэффициентов реологических уравнений с состоянием структуры композитного материала.

Теоретическая и/или практическая значимость. Предложены уравнения, которые способны аппроксимировать экспериментальные данные на отдельных интервалах частоты сдвиговых колебаний, соответствующих определённому структурному состоянию расплава полимера и полимерного композита.

Aim

Aim. We consider the viscoelastic characteristics of melts of polymer composites with filler in the form of carbon nanotubes.

Methodology

Methodology. The experimental data of dynamic measurements are approximated by the equations of a structural rheological model at separate intervals of the cyclic frequency of shear oscillations.

Results

Results. The possibility of applying the equations of the structural model to describe rheological curves under conditions of linear viscoelasticity is shown. The relationship of the coefficients of rheological equations with the state of the composite material structure is established.

Research implications

Research implications. Equations are proposed that are capable of approximating experimental data at separate frequency intervals of shear oscillations corresponding to a certain structural state of the polymer melt and polymer composite.

углеродные нанотрубкирасплав полимерного композитаструктурная реологическая модельмодули потерьмодули накопленияcarbon nanotubespolymer composite meltstructural rheological modelloss modulesstorage modulesReferencesMa A., Chinesta F., Mackley M. Rheological modeling of carbon nanotube aggregate suspensions // Journal of Rheology. 2009. Vol. 52. Iss. 6. P. 1311–1330. DOI: 10.1122/1.2982932.Ma A., Chinesta F., Mackley M. Rheological modeling of carbon nanotube aggregate suspensions. In: Journal of Rheology, 2009, vol. 52, iss. 6, pp. 1311–1330. DOI: 10.1122/1.2982932.A review of the microstructure and rheology of carbon nanotube suspensions / Ma A. W. K., Yearsley K. M., Chinesta F., Mackley M. R. // Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems. 2009. Vol. 222. Iss.Ma A. W. K., Yearsley K. M., Chinesta F., Mackley M. R. A review of the microstructure and rheology of carbon nanotube suspensions. In: Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems, 2009, vol. 222, iss. 3, pp. 71–94. DOI: 10.1243/17403499JNN153.P. 71–94. DOI: 10.1243/17403499JNN153. 3. Lahlou S., Sehaqui R., Lahlou N. Thermal transfer of Nanofluids based on carbon nanotubes/glycerol and study of their rheological behavior // MATEC Web of Conferences. 2019. Vol. 286: 14th Congress of Mechanics (CMM2019). Article Number: 08003. DOI: 10.1051/matecconf/201928608003.Lahlou S., Sehaqui R., Lahlou N. Thermal transfer of Nanofluids based on carbon nanotubes/glycerol and study of their rheological behavior. In: MATEC Web of Conferences, 2019, vol. 286: 14th Congress of Mechanics (CMM2019), article number: 08003. DOI: 10.1051/matecconf/201928608003.Degree of MWCNT suspension dispersity and its influence on rheology of cement pastes / Skripkiunas G., Karpova E., Bendoraitiene J., Barauskas I., Drochytka R. // Selected papers of the 13th International Conference “Modern building materials, structures and techniques” (MBMST 2019, 16–17 May 2019, Vilnius, Lithuania). Vilnus: Vilnus Gediminas Technical University, 2019. P. 166–174. DOI: 10.3846/mbmst.2019.022.Skripkiunas G., Karpova E., Bendoraitiene J., Barauskas I., Drochytka R. Degree of MWCNT suspension dispersity and its influence on rheology of cement pastes. In: Selected papers of the 13th International Conference “Modern building materials, structures and techniques” (MBMST 2019, 16–17 May 2019, Vilnius, Lithuania). Vilnus, Vilnus Gediminas Technical University, 2019, pp. 166–174. DOI: 10.3846/mbmst.2019.022.Dresel A., Teipel U. Jet Dispersion of Multiwall Carbon Nanotubes and Correlation with Suspension Rheology // Chemical Engineering Technology. 2020. Vol. 43. Iss. 5 (Special Issue: Particle and Powder Technology: PARTEC 2019). P. 869–878. DOI: 10.1002/ceat.201900534.Dresel A., Teipel U. Jet Dispersion of Multiwall Carbon Nanotubes and Correlation with Suspension Rheology. In: Chemical Engineering Technology, 2020, vol. 43, iss. 5 (Special Issue: Particle and Powder Technology: PARTEC 2019), pp. 869–878. DOI: 10.1002/ceat.201900534.Corker A. Formulation and Rheology of Carbon-based Materials for Printing of Conductive Three-dimensional Structures: PhD Thesis. University of Liverpool, 2022. 193 p.Corker A. Formulation and Rheology of Carbon-based Materials for Printing of Conductive Three-dimensional Structures: PhD Thesis. University of Liverpool, 2022. 193 p.Шрамм Г. Основы практической реологии и реометрии / пер. с англ. И. А. Лавыгина под ред. В. Г. Куличихина. М.: КолосС, 2003. 312 с.Shramm G. A Practical Approach to Rheology and Rheometry (Rus. ed.: Lavygin I. A., transl., Kulichikhin V. G., ed. Osnovy prakticheskoy reologii i reometrii. Moscow, KolosS Publ., 2003. 312 p).Barnes H. A. A Handbook of Elementary Rheology. Institute of Non-Newtonian Fluid Mechanics. Aberystwyth: University of Wales, Cambrian Printers, 2000. 201 p.Barnes H. A. A Handbook of Elementary Rheology. Institute of Non-Newtonian Fluid Mechanics. Aberystwyth, University of Wales, Cambrian Printers, 2000. 201 p.Woo D. K., Kim B. C., Lee S. J. Preparation and rheological behavior of polystyrene/multiwalled carbon nanotube composites by latex technology // Korea-Australia Rheology Journal. 2009. Vol. 21. No. 3. P. 185–191.Woo D. K., Kim B. C., Lee S. J. Preparation and rheological behavior of polystyrene/multiwalled carbon nanotube composites by latex technology. In: Korea-Australia Rheology Journal, 2009, vol. 21, no. 3, pp. 185–191.Кирсанов Е. А., Матвеенко В. Н. Вязкость и упругость структурированных жидкостей: монография. М.: Техносфера, 2022. 284 с.Kirsanov Ye. A., Matveyenko V. N. Vyazkost' i uprugost' strukturirovannykh zhidkostey [Viscosity and elasticity of structured liquids]. Moscow, Tekhnosfera Publ., 2022. 284 p.

The authors declare that there are no conflicts of interest present.