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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Structural Mechanics of Engineering Constructions and Buildings</journal-id><journal-title-group><journal-title xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</journal-title><trans-title-group xml:lang="ru"><trans-title>Строительная механика инженерных конструкций и сооружений</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1815-5235</issn><issn publication-format="electronic">2587-8700</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">18936</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2018-14-3-248-257</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Theory of elasticity</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Теория упругости</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">MODELING OF CRACKS NUCLEATION IN FIBER COMPOSITE UNDER BENDING</article-title><trans-title-group xml:lang="ru"><trans-title>МОДЕЛИРОВАНИЕ ТРЕЩИНООБРАЗОВАНИЯ В ВОЛОКНИСТОМ КОМПОЗИТЕ ПРИ ИЗГИБЕ</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Hasanov</surname><given-names>Shahin H</given-names></name><name xml:lang="ru"><surname>Гасанов</surname><given-names>Шахин Гумбат</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Technical Sciences, Professor, Professor of the Automobile Transportation and Organization of Transport Department, Azerbaijan Technical University. Scientific interests: strength of road covering, fracture mechanics of structures and constructions.</p></bio><bio xml:lang="ru"><p>доктор технических наук, профессор кафедры организации автомобильных перевозок и дорожного движения, Азербайджанский технический университет. Научные интересы: прочность дорожных покрытий, механика разрушения конструкций и сооружений</p></bio><email>hssh3883@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Azerbaijan Technical University</institution></aff><aff><institution xml:lang="ru">Азербайджанский технический университет</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2018-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2018</year></pub-date><volume>14</volume><issue>3</issue><issue-title xml:lang="en">VOL 14, NO3 (2018)</issue-title><issue-title xml:lang="ru">ТОМ 14, №3 (2018)</issue-title><fpage>248</fpage><lpage>257</lpage><history><date date-type="received" iso-8601-date="2018-07-22"><day>22</day><month>07</month><year>2018</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2018, Hasanov S.H.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2018, Гасанов Ш.Г.</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="en">Hasanov S.H.</copyright-holder><copyright-holder xml:lang="ru">Гасанов Ш.Г.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/18936">https://journals.rudn.ru/structural-mechanics/article/view/18936</self-uri><abstract xml:lang="en"><p>Design of fiber-reinforced composite of minimum material consumption at guaranteed reliability and durability requires consideration of cases when cracks may appear in the binder. To know the limit bending loads at which cracks will occur in the binder, it is necessary to carry out the limit analysis of the composite. Proposed design model takes into account the presence of damages (zones of weakened inter-particle bonds of the material) in the fiber composite. Based on this design model a calculation method has been developed for composite parameters at which cracks appear. A thin plate of elastic isotropic medium (matrix) and inclusions (fibers) of another elastic material distributed in the matrix is considered. The plate is bending. It is assumed that at the loading of composite, the cracks initiation and fracture of the composite occur. A closed system of nonlinear algebraic equations is constructed. Solution of the obtained system allows to predict the cracking in composite under bending, depending on geometric and mechanical characteristics of the binder and fiber. A criterion of the cracks nucleation in the composite under the action of bending loads is formulated. Size of limit minimal zones of weakened inter-particle bonds of the material at which the cracks nucleation occurs is recommended to be considered as a design characteristic of the binder material.</p></abstract><trans-abstract xml:lang="ru"><p>Проектирование армированного волокнами композита минимальной материалоемкости при гарантированной надежности и долговечности требует учета случаев, когда в связующем могут возникать трещины. Чтобы знать предельные изгибающие нагрузки, при которых в связующем произойдет образование трещин, необходимо проводить предельный анализ композита. На основе предложенной расчетной модели, учитывающей в волокнистом композите наличие повреждений (зон ослабленных межчастичных связей материала), разработан метод расчета параметров композита, при которых появляются трещины. Рассмотрена тонкая пластина из упругой изотропной среды (матрицы) и распределенных в ней включений (волокон) из другого упругого материала при изгибе. Считается, что при нагружении происходит зарождение трещин и разрушение композита. Для прогнозирования появления трещин в волокнистом композите при изгибе в зависимости от геометрических и механических характеристик связующего и волокна построена замкнутая система нелинейных алгебраических уравнений. Сформулирован критерий зарождения трещин в композите при действии изгибающих нагрузок. Размер предельных минимальных зон ослабленных межчастичных связей материала, при которых происходит трещинообразование, рекомендуется рассматривать как проектную характеристику материала связующего.</p></trans-abstract><kwd-group xml:lang="en"><kwd>binder</kwd><kwd>fiber</kwd><kwd>bending</kwd><kwd>prefracture zones</kwd><kwd>composite plate</kwd><kwd>cracking</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>связующее</kwd><kwd>волокно</kwd><kwd>изгиб</kwd><kwd>зоны предразрушения</kwd><kwd>композитная пластина</kwd><kwd>трещинообразование</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Mirsalimov V.M., Bakhyshov F.A. (2005). Inverse problem of the fracture mechanics of a composite perforated plate during bending. Journal of Machinery Manufacture and Reliability, 34(5), 28–37.</mixed-citation><mixed-citation xml:lang="ru">Мирсалимов В.М., Бахышов Ф.А. 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