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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">cheb</journal-id><journal-title-group><journal-title xml:lang="ru">Чебышевский сборник</journal-title><trans-title-group xml:lang="en"><trans-title>Chebyshevskii Sbornik</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-8383</issn><publisher><publisher-name>Tula State Lev Tolstoy  Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22405/2226-8383-2017-18-3-279-289</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-359</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><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Article</subject></subj-group></article-categories><title-group><article-title>МНОГОМАСШТАБНОЕ МОДЕЛИРОВАНИЕ ПОНИЖЕННОГО ПОРЯДКА ДЛЯ ИССЛЕДОВАНИЯ ДЕГРАДАЦИИ КОМПОЗИЦИОННЫХ МАТЕРИАЛОВ ПОД ДЕЙСТВИЕМ ВЛАГИ</article-title><trans-title-group xml:lang="en"><trans-title>REDUCED ORDER MULTISCALE ANALYSIS OF MOISTURE DEGRADATION IN COMPOSITE MATERIALS</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>Юань</surname><given-names>Зифенг</given-names></name><name name-style="western" xml:lang="en"><surname>Yuan</surname><given-names>Zifeng</given-names></name></name-alternatives><bio xml:lang="ru"><p>Postdoctoral Researcher in the City of New York</p></bio><bio xml:lang="en"><p>Postdoctoral Researcher in the City of New York</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>Фиш</surname><given-names>Джейкоб</given-names></name><name name-style="western" xml:lang="en"><surname>Fish</surname><given-names>Jacob</given-names></name></name-alternatives><bio xml:lang="ru"><p>The Carleton Professor, in the City of New York (Civil Engineering and Engineering Mechanics)</p></bio><bio xml:lang="en"><p>The Carleton Professor, City of New York (Civil Engineering and Engineering Mechanics )</p></bio><email xlink:type="simple">fishj@columbia.edu</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Columbia University</institution><country>Колумбия</country></aff><aff xml:lang="en"><institution>Columbia University</institution><country>Colombia</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>08</day><month>01</month><year>2018</year></pub-date><volume>18</volume><issue>3</issue><fpage>279</fpage><lpage>289</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Юань З., Фиш Д., 2017</copyright-statement><copyright-year>2017</copyright-year><copyright-holder xml:lang="ru">Юань З., Фиш Д.</copyright-holder><copyright-holder xml:lang="en">Yuan Z., Fish J.</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.chebsbornik.ru/jour/article/view/359">https://www.chebsbornik.ru/jour/article/view/359</self-uri><abstract><p>Имеется множество факторов, влияющих на деградацию композиционных материалов под  действием окружающей среды. В настоящей работе изучается два источника деградации. Во- первых, мы исследуем накопление повреждений в материале, состоящем из углеродных волокон и эпоксидной смолы, при циклическом нагружении. Во-вторых, развит  многомасштабный и мультифизический подход к исследованию деградации материала,  состоящего из стекловолокна и нейлона, вследствие накопления влаги. Мультифизический и  многомасштабный подход учитывает совместное протекание реакционно-диффузионных и механических процессов на нескольких масштабных уровнях.</p></abstract><trans-abstract xml:lang="en"><p>There are variety of factors affecting degradation of composite materials due to environmental effects. In the present manuscript, two  sources of degradation are studied. We first consider an accumulation of damage in carbon-fiber/epoxy-resin material system subjected to cyclic  load. A  multiscale-multiphysics approach is developed for degradation  of glassfiber/ Nylon material system due to moisture accumulation. A  multiphysicsmultiscale approach couples diffusion-reaction-mechanical  process at multiple spatial scales.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Композиционные материалы</kwd><kwd>многомасштабный многофизический подход</kwd><kwd>деградация композиционных материалов</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Composite materials</kwd><kwd>multi-scale multi-physical approach</kwd><kwd>degradation of composite materials</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">Gerard, B., G. Pijaudier-Cabot, and C. Laborderie, Coupled diffusiondamage modelling and the implications on failure due to strain localisation. International Journal of Solids and Structures. International Journal of Solids and Structures, 35(31-32): p. 4107-4120.</mixed-citation><mixed-citation xml:lang="en">Gerard, B., G. Pijaudier-Cabot, and C. 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