phmathВестник Государственного университета просвещения. Серия: Физика-МатематикаBulletin of Federal State University of Education. Series: Physics and Mathematics2949-50832949-5067Federal State University of Education10.18384/2310-7251-2026-2-23-33phmath-769Research ArticleФИЗИКАPHYSICSВязкоупругость жидкокристаллического полимера в рамках структурной реологической моделиViscoelasticity of a liquid crystal polymer within the framework of a structural rheological modelhttps://orcid.org/0000-0001-9100-9526ВековищевМ. П.VekovishchevM. P.

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

Московская обл., г. Коломна

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

Kolomna, Moscow region

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

Московская обл., г. Коломна

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

Kolomna, Moscow region

Kirsanov47@mail.ruГосударственный социально-гуманитарный университетРоссияState University of Humanities and Social StudiesRussian Federation202614102026022333Copyright © Вековищев М.П., Кирсанов Е.А., 20262026Вековищев 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/769Цель

Цель: рассмотреть реологическое поведение термотропного жидкокристаллического полимера (LC-5000) в области линейной вязкоупругости.

Процедура и методы

Процедура и методы. Проведена аппроксимация экспериментальных данных уравнениями структурной реологической модели.

Результаты

Результаты. Показана связь коэффициентов реологических уравнений с температурой и фазовым состоянием полимера.

Теоретическая и/или практическая значимость. Предложены уравнения, которые способны аппроксимировать экспериментальные данные частотных зависимостей модуля накопления и модуля потерь и описывают определённое структурное состояние расплава жидкокристаллического полимера.

Aim

Aim. To examine the rheological behavior of a thermotropic liquid-crystalline polymer (LC-5000) in the linear viscoelasticity region.

Methodology

Methodology. Experimental data were approximated using the equations of a structural rheological model.

Results

Results. The relationship between the coefficients of the rheological equations and the temperature and phase state of the polymer was demonstrated.

Research implications

Research implications. Equations are proposed that can approximate experimental data on the frequency dependences of the storage and loss modulus and describe a specific structural state of the liquid crystalline polymer melt.

расплав жидкокристаллического полимералинейная вязкоупругостьмодуль накоплениямодуль потерьструктурная реологическая модельliquid-crystalline polymer meltlinear viscoelasticitystorage modulusloss modulusstructural rheological modelReferencesRahman A. Rheology of thermotropic liquid crystal polymers for injection moulding: a thesis submitted in fulfilment of the requirements for the degree of Doctor of Philosophy. Melbourne: School of Civil, Environmental and Chemical Engineering College of Science, Engineering and Technology, RMIT University, 2013. 257 p.Вестник Государственного университета просвещения. Серия: Физика-Математика REFERENCES 2026 / № 2 Rahman, A. (2013). Rheology of thermotropic liquid crystal polymers for injection moulding: a thesis submitted in fulfilment of the requirements for the degree of Doctor of Philosophy. Melbourne: School of Civil, Environmental and Chemical Engineering College of Science, Engineering and Technology, RMIT University.Marchetti M. Liquid Crystalline Polymers as Tunable Composite Resins for Composites Applications: Doctoral Thesis. Delft: Delft University of Technology, 2021. 128 p. DOI: 10.4233/uuid:5e1093cb-5f7f-485d-9bb5-cd505a772820.Marchetti, M. (2021). Liquid Crystalline Polymers as Tunable Composite Resins for Composites Applications: Doctoral Thesis. Delft: Delft University of Technology. DOI: 10.4233/uuid:5e1093cb-5f7f-485d-9bb5-cd505a772820.de Kort G. W. (2021). Thermotropic polyesters and polylactide: a route to sustainable and reprocessable reinforced composites: Doctoral Thesis. Maastricht: Maastricht University, 2021. 174 p. DOI: 10.26481/dis.20210125gk.de Kort, G. W. (2021). Thermotropic polyesters and polylactide: a route to sustainable and reprocessable reinforced composites: Doctoral Thesis. Maastricht: Maastricht University. DOI: 10.26481/dis.20210125gk.Rheology and Processing of Polymers: a reprint of articles from the Special Issue published online in the open access journal Polymers / ed. Kh. Lamnawar A. Maazouz. Basel, Switzerland: MDPI, 2022. 304 p. DOI: 10.3390/books978-3-0365-5264-4.Lamnawar, Kh. & Maazouz, A. (eds.) (2022). Rheology and Processing of Polymers: a reprint of articles from the Special Issue published online in the open access journal Polymers. Basel, Switzerland: MDPI. DOI: 10.3390/books978-3-0365-5264-4.Rheological properties and associated structural characteristics of some aromatic polycondensates including liquid-crystalline polyesters and cellulose derivatives. (IUPAC Technical Report) / J. L. White, L. Dong, P. Han, H. M. Laun // Pure and Applied Chemistry. 2004. Vol. 76. No. 11. P. 2027–2049. DOI: 10.1351/pac200476112027.White, J. L., Dong, L., Han, P. & Laun, H. M. (2004). Rheological properties and associated structural characteristics of some aromatic polycondensates including liquid crystalline polyesters and cellulose derivatives. (IUPAC Technical Report). In: Pure and Applied Chemistry, 76 (11), 2027–2049. DOI: 10.1351/pac200476112027.Marrucci G. Rheology of liquid crystalline polymers // Pure and Applied Chemistry. 1985. Vol. 57. No. 1. P. 1545–1552. DOI: 10.1351/pac198557111545.Marrucci, G. (1985). Rheology of liquid crystalline polymers. In: Pure and Applied Chemistry, 57 (1), 1545–1552. DOI: 10.1351/pac198557111545.Rheology and Relaxation Processes in a Melting Thermotropic Liquid–Crystalline Polymer / Yu Ruobing, Yu Wei, Zhou Chixing, J. J. Feng // Journal of Applied Polymer Science. 2007. Vol. 104. Iss. 6. P. 3780–3787. DOI: 10.1002/app.25953.Ruobing, Yu, Wei, Yu, Chixing, Zhou & Feng, J. J. (2007). Rheology and Relaxation Processes in a Melting Thermotropic Liquid–Crystalline Polymer. In: Journal of Applied Polymer Science, 104 (6), 3780–3787. DOI: 10.1002/app.25953.Winter H. H., Mours M. Rheology of Polymers Near Liquid-Solid // Neutron Spin Echo Spectroscopy Viscoelasticity Rheology. Berlin: Springer-Verlag, 1997. P. 165–234 (Series: Advances in Polymer Science. Vol. 134). DOI: 10.1007/3-540-68449-2_3.Winter, H. H. & Mours, M. (1997). Rheology of Polymers Near Liquid-Solid. In: Neutron Spin Echo Spectroscopy Viscoelasticity Rheology. Berlin: Springer-Verlag, pp. 165–234 (Series: Advances in Polymer Science. Vol. 134). DOI: 10.1007/3-540-68449-2_3.Кирсанов Е. А., Матвеенко В. Н. Неньютоновское течение дисперсных, полимерных и жидкокристаллических систем. Структурный подход. М.: Техносфера, 2016. 384 с.Kirsanov, E. A. & Matveenko, V. N. (2016). Non-Newtonian flow of dispersed, polymer and liquid crystal systems. Structural approach. Moscow: Technosphera publ. (in Russ.).Кирсанов Е. А., Матвеенко В. Н. Вязкость и упругость структурированных жидкостей: монография М.: Техносфера, 2022. 284 с.Kirsanov, E. A. & Matveenko, V. N. (2022). Viscosity and elasticity of structured liquids. Moscow: Technosphera publ. (in Russ.).

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