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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">fwj</journal-id><journal-title-group><journal-title xml:lang="ru">Трение и и износ</journal-title><trans-title-group xml:lang="en"><trans-title>Title in english</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0000-0000</issn><issn pub-type="epub">0000-0000</issn><publisher><publisher-name>AGU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32864/0202-4977-2025-46-3-261-269</article-id><article-id custom-type="elpub" pub-id-type="custom">fwj-142</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Математический подход к оценке износостойкости конструкционных полимерных нанокомпозитов на молекулярном уровне</article-title><trans-title-group xml:lang="en"><trans-title>Mathematical ApproachtoEstimation the Wear Resistance of Filling Industrial Polymer Nanocomposites at the Molecular Level</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Cедакова</surname><given-names>Е. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Sedakova</surname><given-names>E. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Большой пр. ВО, д. 61, г. Санкт-Петербург 199178, Россия</p></bio><bio xml:lang="en"><p>Boljshoy prospekt V.O., 61, Saint-Petersburg 199178, Russia</p></bio><email xlink:type="simple">elenasedakova2006@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бреки</surname><given-names>А. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Breki</surname><given-names>A. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Большой пр. ВО, д. 61, г. Санкт-Петербург 199178, Россия</p><p>Политехническая ул., д. 29, г. Санкт-Петербург 195251, Россия</p></bio><bio xml:lang="en"><p>Boljshoy prospekt V.O., 61, Saint-Petersburg 199178, Russia</p><p>Politekhnicheskaya Ulitsa, 29, Saint-Petersburg 195251, Russia</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Скотникова</surname><given-names>М. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Skotnikova</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Политехническая ул., д. 29, г. Санкт-Петербург 195251, Россия</p></bio><bio xml:lang="en"><p>Politekhnicheskaya Ulitsa, 29, Saint-Petersburg 195251, Russia</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ли</surname><given-names>С.</given-names></name><name name-style="western" xml:lang="en"><surname>Li</surname><given-names>S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>East 7th Road, No. 699, Checheng, Longquanyi,Chengdu 610100, China</p></bio><bio xml:lang="en"><p>East 7th Road, No. 699, Checheng, Longquanyi,Chengdu 610100, China</p></bio><xref ref-type="aff" rid="aff-4"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт проблем машиноведения РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт проблем машиноведения РАН; Санкт-Петербургский политехнический университет Петра Великого</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences; Peter the Great St. Petersburg Polytechnic University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Санкт-Петербургский политехнический университет Петра Великого</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Peter the Great St. Petersburg Polytechnic University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Chengdu Aeronautic Polytechnic</institution><country>Китай</country></aff><aff xml:lang="en"><institution>Chengdu Aeronautic Polytechnic</institution><country>China</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>07</day><month>10</month><year>2026</year></pub-date><volume>46</volume><issue>3</issue><fpage>261</fpage><lpage>269</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; AGU, 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">AGU</copyright-holder><copyright-holder xml:lang="en">AGU</copyright-holder><license xlink:href="https://fwj.ejournal.by/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://fwj.ejournal.by/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://fwj.ejournal.by/jour/article/view/142">https://fwj.ejournal.by/jour/article/view/142</self-uri><abstract><p>Проведен анализ структурной модели композитов, разработанной для случая диспергирования наполнителей в расплаве полимеров. Показано, что применение выражения для определения нагруженности матрицы, характеризующего долю внешней приложенной нагрузки, приходящейся на матрицу, недостаточно для сравнительной оценки износостойкости разрабатываемых композитов при одинаковых концентрациях и средних размерах дисперсных наполнителей, но состоящих из различных материалов. Для уточнённой оценки износостойкости таких композитов предложен дополнительный критерий, учитывающий энергетическую характеристику взаимодействия матрицы и наполнителя на молекулярном уровне.  </p><p>Проведено компьютерное моделирование молекулярных структур полиэфирэфиркетона и двух его нанокомпозитов, содержащих фуллерен и наноразмерную медь, с определением модулей сдвига и энергий межмолекулярного взаимодействия в объёме исследуемых материалов и на границе раздела фаз матрица — наполнитель. Отмечено, что при введении нанонаполнителей повышаются значения модулей сдвига и объёмных энергий межмолекулярного взаимодействия. При этом наиболее существенное повышение, более чем в 2,5 раза, отмечено у величины энергии межмолекулярного взаимодействия на границе раздела фаз матрица—наполнитель в композите, содержащем наномедь, по сравнению с композитом, содержащим фуллерен. Таким образом, этот параметр предложен в качестве дополнительного для оценки износостойкости нанокомпозитов на стадии их разработки.</p></abstract><trans-abstract xml:lang="en"><p>The analysis of the structural model of composites developed for the case of dispersion of fillers in the polymer melt is carried out, it is shown that the use of the expression for determining the matrix loading characterizing the share of external applied load falling on the matrix is not effective enough for comparative assessment of wear resistance of developed composites at the same concentrations and average sizes of dispersed fillers, but consisting of different materials. For the possibility of a refined assessment of wear resistance of such composites an additional criterion taking into account the energy characteristic of interaction between matrix and filler at the molecular level is proposed. Computer modeling of the molecular structures of polyetheretherketone and its two nanoscale composites containing fullerene and nanoscale copper was carried out to determine the shear modulus and intermolecular interaction energies in the volume of the materials under study and at the matrix—filler interface. It is noted that the introduction of nanoscale fillers increases the values of shear modulus and volumetric energies of intermolecular interaction. At the same time, the most significant increase, by more than 2.5 times, was noted in the value of the energy of intermolecular interaction at the interface of the matrix—filler phases in a composite containing nanosized copper, compared with a composite containing fullerene. Thus, this parameter is proposed as an additional parameter for assessing the wear resistance of nanoscale composites at the stage of their development.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>износостойкость</kwd><kwd>полиэфирэфиркетон</kwd><kwd>нанонаполнитель</kwd><kwd>фуллерен</kwd><kwd>наноразмерная медь</kwd><kwd>молекулярная динамика</kwd><kwd>энергия межмолекулярного взаимодействия</kwd><kwd>адгезионная прочность</kwd></kwd-group><kwd-group xml:lang="en"><kwd>wear resistance</kwd><kwd>polyetheretherketone</kwd><kwd>nanoscale filler</kwd><kwd>fullerene</kwd><kwd>nanoscale copper</kwd><kwd>molecular dynamics</kwd><kwd>intermolecular interaction energy</kwd><kwd>adhesion strength</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">Мышкин Н.К., Zhang G., Гуцев Д.М. и др. 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