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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">phmath</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Государственного университета просвещения. Серия: Физика-Математика</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Federal State University of Education. Series: Physics and Mathematics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-5083</issn><issn pub-type="epub">2949-5067</issn><publisher><publisher-name>Federal State University of Education</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18384/2949-5067-2025-1-17-27</article-id><article-id custom-type="elpub" pub-id-type="custom">phmath-646</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Вязкоупругость жидкокристаллического раствора синтетического полипептида в рамках структурной модели</article-title><trans-title-group xml:lang="en"><trans-title>Viscoelasticity of liguid crystal solution of synthetic polypeptide within the framework of the structural model</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9100-9526</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Вековищев</surname><given-names>М. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Vekovishchev</surname><given-names>M. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Вековищев Михаил Петрович – кандидат физико-математических наук, доцент кафедры физики и химии </p><p>г. Коломна, Московская обл.</p></bio><bio xml:lang="en"><p>Mikhail P. Vekovishchev – Cand. Sci. (Phys.-Math.), Assoc. Prof., Department of Physics and Chemistry</p><p>Kolomna, Moscow region</p></bio><email xlink:type="simple">mpv.71@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3030-7989</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кирсанов</surname><given-names>Е. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kirsanov</surname><given-names>E. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кирсанов Евгений Александрович – кандидат физико-математических наук, доцент кафедры физики и химии</p><p>г. Коломна, Московская обл.</p></bio><bio xml:lang="en"><p>Evgeny A. Kirsanov – Cand. Sci. (Phys.-Math.), Assoc. Prof., Department of Physics and Chemistry</p><p>Kolomna, Moscow region</p></bio><email xlink:type="simple">Kirsanov47@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Государственный социально-гуманитарный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>State University of Humanities and Social Studies</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>14</day><month>07</month><year>2025</year></pub-date><volume>0</volume><issue>1</issue><fpage>17</fpage><lpage>27</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Вековищев М.П., Кирсанов Е.А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Вековищев М.П., Кирсанов Е.А.</copyright-holder><copyright-holder xml:lang="en">Vekovishchev M.P., Kirsanov E.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.physmathmgou.ru/jour/article/view/646">https://www.physmathmgou.ru/jour/article/view/646</self-uri><abstract><sec><title>Цель</title><p>Цель: рассмотреть вязкоупругие характеристики лиотропного жидкого кристалла, а именно – раствора синтетического полипептида поли-β-бензил-аспартата (PBA) в m-крезоле, которые были получены при различных значениях амплитуды деформации.</p></sec><sec><title>Процедура и методы</title><p>Процедура и методы. Проведена аппроксимация экспериментальных данных динамических измерений уравнениями структурной реологической модели на отдельных интервалах циклической частоты сдвиговых колебаний.</p></sec><sec><title>Результаты</title><p>Результаты. Показана возможность применения уравнений структурной модели для описания частотных зависимостей динамических модулей в условиях нелинейной вязкоупругости. Показано, что величина коэффициентов реологических уравнений зависит от амплитуды деформации в соответствии с положениями структурной модели.</p><p>Теоретическая и/или практическая значимость. Показано, что уравнения структурной реологической модели способны аппроксимировать экспериментальные данные динамических измерений в случае лиотропного жидкого кристалла. Реологические уравнения сохраняют свой вид при разных заданных значениях амплитуды деформации, которые находятся в области нелинейной вязкоупругости.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Aim</title><p>Aim. To consider the viscoelastic characteristics of a lyotropic liquid crystal, namely, a solution of the synthetic polypeptide poly-β-benzyl-aspartate (PBA) in m-cresol, which were obtained at different values of the strain amplitude.</p></sec><sec><title>Methodology</title><p>Methodology. The experimental data of dynamic measurements were approximated by the equations of a structural rheological model at separate intervals of the cyclic frequency of shear vibrations.</p></sec><sec><title>Results</title><p>Results. The possibility of using the equations of the structural model to describe the frequency dependences of dynamic modules in conditions of nonlinear viscoelasticity is shown. It is shown that the coefficients of the rheological equations depend on the amplitude of the deformation in accordance with the provisions of the structural model.</p></sec><sec><title>Research implications</title><p>Research implications. It is shown that the equations of the structural rheological model are capable of approximating the experimental data of dynamic measurements in the case of a lyotropic liquid crystal. Rheological equations retain their form at different set values of the strain amplitude, which are in the region of nonlinear viscoelasticity.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>лиотропный жидкий кристалл</kwd><kwd>структурная реологическая модель</kwd><kwd>модули потерь</kwd><kwd>модули накопления</kwd><kwd>нелинейная вязкоупругость</kwd></kwd-group><kwd-group xml:lang="en"><kwd>lyotropic liquid crystal</kwd><kwd>structural rheological model</kwd><kwd>loss modules</kwd><kwd>accumulation&#13;
modules</kwd><kwd>nonlinear viscoelasticity</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Larson R. G. The Structure and Rheology of Complex Fluids. N.Y., Oxford: Oxford University Press, 1999. 663 p.</mixed-citation><mixed-citation xml:lang="en">Larson, R. G. (1999). The Structure and Rheology of Complex Fluids. N.Y., Oxford: Oxford University Press.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Lyotropic liquid crystals for parenteral drug delivery / V. P. Chavda, S. Dawre, A. Pandya, L. K. Vora, D. H. Modh, V. Shah, D. J. Dave, V. Patravale // Journal of Controlled Release. 2022. Vol. 349. P. 533–549. DOI: 10.1016/j.jconrel.2022.06.062.</mixed-citation><mixed-citation xml:lang="en">Chavda, V. P., Dawre, S., Pandya, A., Vora, L. K., Modh, D. H., Shah, V., Dave, D. J. &amp; Patravale, V. (2022). Lyotropic liquid crystals for parenteral drug delivery. In: Journal of Controlled Release, 349, 533–549. DOI: 10.1016/j.jconrel.2022.06.062.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Шрамм Г. Основы практической реологии и реометрии / пер. с англ., под ред. В. Г. Куличихина. М.: КолосС, 2003. 312 с.</mixed-citation><mixed-citation xml:lang="en">Schramm, G. (2003). A practical approach to rheology andrheometry. Moscow: KolosS publ. (in Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Palomo A. R. Study of the flow-induced structure and anisotropy in lyotropic liquid crystals for hierarchical composites: Licentiate Thesis of engineering. Sweden, Gothenburg: Chalmers University of Technology, 2020. 52 p.</mixed-citation><mixed-citation xml:lang="en">Palomo, A. R. (2020). Study of the flow-induced structure and anisotropy in lyotropic liquid crystals for hierarchical composites: Licentiate Thesis of engineering. Sweden, Gothenburg: Chalmers University of Technology.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Absorption of CO2 in lyotropic liquid crystals / S. Rodríguez-Fabià, M. Øyen, N. Winter-Hjelm, J. Norrman, R. Lund, G. H. Sørland, H. K. Knuutila, J. Sjöblom, K. G. Paso // Molecular Crystals and Liquid Crystals. 2020. Vol. 703. Iss. 1, P. 87–106. DOI: 10.1080/15421406.2020.1780830.</mixed-citation><mixed-citation xml:lang="en">Rodríguez-Fabià, S., Øyen, M., Winter-Hjelm, N., Norrman, J., Lund, R., Sørland, G. H., Knuutila, H. K., Sjöblom, J. &amp; Paso, K. G. (2020). Absorption of CO2 in lyotropic liquid crystals. In: Molecular Crystals and Liquid Crystals, 70 (1), 87–106. DOI: 10.1080/15421406.2020.1780830.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Hybrid molecular/mineral lyotropic liquid crystal system of CTAB and graphene oxide in water / Y. Shao, M. Iliut, I. Dierking, A. Vijayaraghavan // Carbon. 2021. Vol. 173. P. 105– 114. DOI: 10.1016/j.carbon.2020.10.089.</mixed-citation><mixed-citation xml:lang="en">Shao, Y., Iliut, M., Dierking, I. &amp; Vijayaraghavan, A. (2021). Hybrid molecular/mineral lyotropic liquid crystal system of CTAB and graphene oxide in water. In: Carbon, 173, 105– 114. DOI: 10.1016/j.carbon.2020.10.089.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">In Situ Visualization of the Structural Evolution and Alignment of Lyotropic Liquid Crystals in Confined Flow / A. Rodriguez-Palomo, V. Lutz-Bueno, Xiaobao Cao, R. Kádár, M. Andersson, M. Liebi // Small. 2021. Vol. 17. Iss. 7. Article no. 2006229. DOI: 10.1002/smll.202006229.</mixed-citation><mixed-citation xml:lang="en">Rodriguez-Palomo, A., Lutz-Bueno, V., Xiaobao, Cao, Kádár, R., Andersson, M. &amp; Liebi, M. (2021). In Situ Visualization of the Structural Evolution and Alignment of Lyotropic Liquid Crystals in Confined Flow. In: Small, 17 (7), 2006229. DOI: 10.1002/smll.202006229.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Кирсанов Е. А., Матвеенко В. Н. Вязкость и упругость структурированных жидкостей: монография. М.: Техносфера, 2022. 284 с.</mixed-citation><mixed-citation xml:lang="en">Kirsanov, E. A. &amp; Matveenko, V. N. (2022). Viscosity and elasticity of structured liquids. Moscow: Tekhnosfera publ. (in Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Kiss G., Orrell T. S., Porter R. S. Rheology and rheo-optics of anisotropic poly-β-benzylaspartate gel // Rheological Acta. 1979. Vol. 18. P. 657–661. DOI: 10.1007/BF01520363.</mixed-citation><mixed-citation xml:lang="en">Kiss, G., Orrell, T. S. &amp; Porter, R. S. (1979). Rheology and rheo-optics of anisotropic polyβ-benzyl-aspartate gel. In: Rheological Acta, 18, 657–661. DOI: 10.1007/BF01520363.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Вековищев М. П., Кирсанов Е. А. Неньютоновское течение структурированных систем. XXXVII. Вязкоупругость полимерного композита глина / нейлон11 // Жидкие кристаллы и их практическое использование. 2023. Т. 23. № 4. С. 67–75. DOI: 10.18083/LCAppl.2023.4.67.</mixed-citation><mixed-citation xml:lang="en">Vekovishchev, M. P. &amp; Kirsanov, E. A. (2023). Non-Newtonian flow of structured systems. XXXVII. Viscoelasticity of polymer composite clay / nylon-11 polymer composite. In: Liquid crystals and their Application, 23 (4), 67–75. DOI: 10.18083/LCAppl.2023.4.67 (in Russ.).</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
