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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">plasticnews</journal-id><journal-title-group><journal-title xml:lang="ru">Пластические массы</journal-title><trans-title-group xml:lang="en"><trans-title>Plasticheskie massy</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0554-2901</issn><publisher><publisher-name>PLASTMASSY Publishing House (Moscow)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.35164/0554-2901-2023-11-12-17-20</article-id><article-id custom-type="elpub" pub-id-type="custom">plasticnews-932</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>XIX Международная научно-практическая конференция «Новые полимерные композиционные материалы. Микитаевские чтения»</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>XIX International Scientific and Practical Conference "New polymer composite materials. Mikitaev readings"</subject></subj-group></article-categories><title-group><article-title>Об упрощенных методах определения упругих постоянных слоистых полимерных композитов</article-title><trans-title-group xml:lang="en"><trans-title>On simplified methods for determining the elastic constants of layered polymer composites</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>Власов</surname><given-names>Д. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Vlasov</surname><given-names>D. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва</p></bio><bio xml:lang="en"><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Склемина</surname><given-names>О. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Sklemina</surname><given-names>O. Y.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва</p></bio><bio xml:lang="en"><p>Moscow</p></bio><email xlink:type="simple">sklemina97@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>Поляков</surname><given-names>А. Э.</given-names></name><name name-style="western" xml:lang="en"><surname>Polyakov</surname><given-names>A. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва</p></bio><bio xml:lang="en"><p>Moscow</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт машиноведения им. А.А. Благонравова РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Mechanical Engineering named after A. A. Blagonravov of RAS</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>11</day><month>01</month><year>2024</year></pub-date><volume>0</volume><issue>11-12</issue><fpage>17</fpage><lpage>20</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Власов Д.Д., Склемина О.Ю., Поляков А.Э., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Власов Д.Д., Склемина О.Ю., Поляков А.Э.</copyright-holder><copyright-holder xml:lang="en">Vlasov D.D., Sklemina O.Y., Polyakov A.E.</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.plastics-news.ru/jour/article/view/932">https://www.plastics-news.ru/jour/article/view/932</self-uri><abstract><p>В работе рассматривается стандартный послойный метод расчета композитных конструкций. Выделены основные проблемы метода и проанализированы подходы, позволяющие упростить расчет. Показано, что с помощью перехода к инвариантам можно восстановить упругие постоянные монослоя на основе только одного эксперимента. Рассмотрены упрощенные тензорные преобразования при повороте системы координат. Сделан вывод о границах применимости упрощенных соотношений для различных материалов.</p></abstract><trans-abstract xml:lang="en"><p>The paper considers the standard layer-by-layer method for calculating composite structures. The main problems of the method are highlighted and the approaches which allow to simplify the calculation are analyzed. It is shown that the transition to trace can be used to restore the elastic constants of a monolayer on the basis of only one experiment. Simplified tensor transformations for rotating the coordinate system are considered. The conclusion about the limits of applicability of the simplified relations for different materials is made.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>полимерные волокнистые композиты</kwd><kwd>послойный метод расчета</kwd><kwd>упругие постоянные</kwd><kwd>инвариант</kwd><kwd>модуль упругости вдоль волокон</kwd><kwd>анизотропия свойств</kwd></kwd-group><kwd-group xml:lang="en"><kwd>polymer fiber composites</kwd><kwd>layer-by-layer method of calculation</kwd><kwd>elastic constants</kwd><kwd>trace</kwd><kwd>modulus of elasticity along fibers</kwd><kwd>anisotropy of properties</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">Работнов Ю.Н. Механика деформируемого твердого тела. Учеб. пособие для вузов. М.: Наука, 1988. 712 с.</mixed-citation><mixed-citation xml:lang="en">Работнов Ю.Н. Механика деформируемого твердого тела. Учеб. пособие для вузов. 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