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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">mgssuvest</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник МГСУ</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik MGSU</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1997-0935</issn><issn pub-type="epub">2304-6600</issn><publisher><publisher-name>Moscow State University of Civil Engineering (National Research University) (MGSU)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22227/1997-0935.2024.6.857-877</article-id><article-id custom-type="elpub" pub-id-type="custom">mgssuvest-287</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>Проектирование и конструирование строительных систем. Строительная механика. Основания и фундаменты, подземные сооружения</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Construction system design and layout planning. Construction mechanics. Bases and foundations, underground structures</subject></subj-group></article-categories><title-group><article-title>Обзор и сравнительный анализ критериев прочности для моделирования нелинейного поведения бетона</article-title><trans-title-group xml:lang="en"><trans-title>Review and comparative analysis of strength criteria for modelling non-linear behaviour of concrete</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>Ремпель</surname><given-names>Г. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Rempel</surname><given-names>G. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Георгий Игоревич Ремпель — главный эксперт отдела расчетных обоснований</p><p>125993, г. Москва, Волоколамское шоссе, д. 2</p></bio><bio xml:lang="en"><p>Georgy I. Rempel — chief specialist of the Structural analysis department</p><p>2 Volokolamskoe shosse, Moscow, 125993</p></bio><email xlink:type="simple">g.rempel@hydroproject.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>Бударин</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Budarin</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Михайлович Бударин — главный специалист отдела расчетных обоснований</p><p>125993, г. Москва, Волоколамское шоссе, д. 2</p></bio><bio xml:lang="en"><p>Alexander M. Budarin — chief specialist of the Structural analysis department</p><p>2 Volokolamskoe shosse, Moscow, 125993</p></bio><email xlink:type="simple">alex.budarin01@gmail.com</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>Долгих</surname><given-names>А. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Dolgikh</surname><given-names>A. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Андрей Петрович Долгих — начальник отдела расчетных обоснований</p><p>125993, г. Москва, Волоколамское шоссе, д. 2</p></bio><bio xml:lang="en"><p>Andrey P. Dolgikh — head of structural analysis department</p><p>2 Volokolamskoe shosse, Moscow, 125993</p></bio><email xlink:type="simple">a.dolgih@hydroproject.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>Камзолкин</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kamzolkin</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алексей Александрович Камзолкин — ведущий инженер</p><p>125124, г. Москва, 3-я ул. Ямского Поля, д. 18</p></bio><bio xml:lang="en"><p>Alexey A. Kamzolkin — lead engineer</p><p>18 3rd Yamskogo Polya st., Moscow, 125124</p></bio><email xlink:type="simple">holinmail@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8291-6052</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Алехин</surname><given-names>В. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Alekhin</surname><given-names>V. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Владимир Николаевич Алехин — кандидат технических наук, доцент, заведующий кафедрой систем автоматизированного проектирования объектов строительства</p><p>620002, г. Екатеринбург, ул. Мира, д. 19</p><p>РИНЦ AuthorID: 549888, Scopus: 7004307891, ResearcherID: B-4747-2016</p></bio><bio xml:lang="en"><p>Vladimir N. Alekhin — Candidate of Technical Sciences, Associate Professor, Head of the Department of Computer-Aided Design Systems for Construction Projects</p><p>19 Mira st., Yekaterinburg, 620002</p><p>RISC AuthorID: 549888, Scopus: 7004307891, ResearcherID: B-4747-2016</p></bio><email xlink:type="simple">v.n.alekhin@urfu.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>АО «Институт Гидропроект»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>JSC «Institute Hydroproject»</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Научно-исследовательский центр «СтаДиО» (АО НИЦ «СтаДиО»)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Scientific Research Center “StaDiO” (JSC NRC “Stadyo”)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Уральский федеральный университет имени первого Президента России Б.Н. Ельцина (УрФУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Ural Federal University named after the first President of Russia B.N. Yeltsin (UrFU)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>11</day><month>07</month><year>2024</year></pub-date><volume>19</volume><issue>6</issue><fpage>857</fpage><lpage>877</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ремпель Г.И., Бударин А.М., Долгих А.П., Камзолкин А.А., Алехин В.Н., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Ремпель Г.И., Бударин А.М., Долгих А.П., Камзолкин А.А., Алехин В.Н.</copyright-holder><copyright-holder xml:lang="en">Rempel G.I., Budarin A.M., Dolgikh A.P., Kamzolkin A.A., Alekhin V.N.</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.vestnikmgsu.ru/jour/article/view/287">https://www.vestnikmgsu.ru/jour/article/view/287</self-uri><abstract><sec><title>Введение</title><p>Введение. В последние десятилетия значительное развитие получили численные методы расчета бетонных и железобетонных конструкций, учитывающие физически нелинейное поведение материала. Подобные методы, по сравнению с аналитическими, позволяют точнее описать работу материала и отразить основные особенности его напряженно-деформированного состояния. Это дает возможность выполнять более экономичные, а в ряде случаев, и более надежные конструктивные решения. Одну из ключевых ролей в численных методах занимает понятие предельной поверхности, которая выражается в виде условия (критерия прочности), разделяя области упругой и пластической работы материала. Критерий прочности для бетона должен соответствовать опытным данным, обеспечивать математически стабильное, уникальное решение, а также иметь набор параметров, легко определяемый на основании эмпирических зависимостей или результатов испытаний. История создания и совершенствования предельных поверхностей бетона насчитывает десятки отечественных и зарубежных работ, многие из которых не удовлетворяют этим требованиям. Цель исследования — сравнительный анализ наиболее распространенных в мировой практике критериев прочности бетона.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. В качестве основы использованы результаты анализа и систематического обобщения данных, полученных из отечественных и зарубежных источников.</p></sec><sec><title>Результаты</title><p>Результаты. Проведен детальный анализ наиболее распространенных отечественных и зарубежных критериев прочности бетона.</p></sec><sec><title>Выводы</title><p>Выводы. Согласно результатам проведенного анализа, выполнено сравнение предельных поверхностей бетона на предмет соответствия ряду требований.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. In recent decades, numerical methods for calculating concrete and reinforced concrete structures have developed significantly, taking into account the physically nonlinear behavior of the material. Such methods, in comparison with analytical ones, make it possible to describe the work of the material more accurately and reflect the main features of its stress–strain state. This makes it possible to perform more cost-effective and, in some cases, more reliable design solutions. Concept of the limit surface plays an important role in numerical methods. Limit surface, which is expressed by a condition (strength criterion), separates the elastic and plastic region of the material. Strength criteria must correspond to experimental data, provide a mathematically stable unique solution, and also have a set of parameters that can be easily determined from empirically based expressions or test data. The history of creation and improvement of concrete limit surfaces includes dozens of domestic and foreign works, many of which do not meet these requirements. The purpose of the current work is a comparative analysis of the most common strength criteria of concrete.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. This study is based on the analytical generalization and systematization of the data received form domestic and foreign sources.</p></sec><sec><title>Results</title><p>Results. A detailed analysis of the most common domestic and foreign concrete limit surfaces was carried out.</p></sec><sec><title>Conclusions</title><p>Conclusions. According to the analysis results, the comparison of the concrete limit surfaces was performed.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>бетон</kwd><kwd>критерий прочности</kwd><kwd>предельная поверхность</kwd><kwd>численное моделирование</kwd><kwd>модель материала</kwd><kwd>физическая нелинейность</kwd><kwd>прочность</kwd><kwd>разрушение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>concrete</kwd><kwd>strength criteria</kwd><kwd>limit surface</kwd><kwd>numerical modelling</kwd><kwd>material model</kwd><kwd>physical nonlinearity</kwd><kwd>strength</kwd><kwd>failure</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">Staber B., Forest S., Kotob M., Mazière M., Rose T. Loss of ellipticity analysis in non-smooth plasticity // International Journal of Solids and Structures. 2021. Vol. 222–223. P. 111010. 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