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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">concconc</journal-id><journal-title-group><journal-title xml:lang="ru">Железобетонные конструкции</journal-title><trans-title-group xml:lang="en"><trans-title>Reinforced concrete structures</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-1622</issn><issn pub-type="epub">2949-1614</issn><publisher><publisher-name>Национальный исследовательский Московский государственный строительный университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22227/2949-1622.2026.2.41-53</article-id><article-id custom-type="elpub" pub-id-type="custom">concconc-97</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>ТЕОРИЯ БЕТОНА И ЖЕЛЕЗОБЕТОНА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>THEORY OF CONCRETE AND REINFORCED CONCRETE</subject></subj-group></article-categories><title-group><article-title>Научные основы альтернативной теории выносливости железобетона</article-title><trans-title-group xml:lang="en"><trans-title>Scientific Basis of the Alternative Theory of Reinforced Concrete Endurance</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4902-6167</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мирсаяпов</surname><given-names>И. Т.</given-names></name><name name-style="western" xml:lang="en"><surname>Mirsaypov</surname><given-names>I. T.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Илшат Талгатович Мирсаяпов, д.т.н., доцент, заведующий кафедрой железобетонных и каменных конструкций</p><p>420043, г. Казань, ул. Зеленая, д. 1</p><p>Scopus: 57218826227, ResearcherID: G-7228-2019</p></bio><bio xml:lang="en"><p>Ilshat T. Mirsaypov, Doctor of Technical Sciences, Associate Professor, Head of the Department of Reinforced Concrete and Masonry Structures</p><p>1 Zelenaya, Kazan, 420043</p><p>Scopus: 57218826227, ResearcherID: G-7228-2019</p></bio><email xlink:type="simple">mirsayapovit@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Казанский государственный архитектурно-строительный университет (КазГАСУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kazan State University of Architecture and Engineering (KSUAE)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>04</day><month>08</month><year>2026</year></pub-date><volume>14</volume><issue>2</issue><fpage>41</fpage><lpage>53</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мирсаяпов И.Т., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Мирсаяпов И.Т.</copyright-holder><copyright-holder xml:lang="en">Mirsaypov I.T.</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.g-b-k.ru/jour/article/view/97">https://www.g-b-k.ru/jour/article/view/97</self-uri><abstract><p>Железобетон широко применяют в инженерных сооружениях, в транспортном строительстве, в промышленном, энергетическом и гидротехническом строительстве. Все эти здания и сооружения подвергаются многократно повторяющимся нагрузкам (МПН). При проектировании железобетонных конструкций (ЖБК) зданий до настоящего времени не решена проблема обеспечения выносливости. В статье излагаются научные основы предлагаемой альтернативной теории выносливости железобетона, новых методики и методов расчета ЖБК на выносливость, в которых в явном виде учитываются все основные факторы при многократно повторяющихся нагрузках и исключаются эмпирические коэффициенты. При циклических нагрузках усиленное развитие деформаций виброползучести бетона приводит к росту остаточных деформаций в бетоне сжатой зоны. Деформации виброползучести развиваются в стесненных условиях, а это приводит к непрерывному изменению напряженно-деформированного состояния (НДС), коэффициентов асимметрии цикла напряжений (КАЦН) и пределов выносливости бетона (ПВ) и арматуры при многократно повторяющихся нагрузках. Для оценки способности ЖБК сопротивляться МПН наиболее рациональным является проверять условия выносливости, записанные на основе расчетных моделей усталостного сопротивления, отражающие действительную работу железобетона при таких нагрузках.</p></abstract><trans-abstract xml:lang="en"><p>Reinforced concrete is widely used in engineering structures, transportation construction, power generation, and hydraulic engineering. All of these buildings and structures are subject to repeated loads (RL). When designing reinforced concrete structures (RCS) for these buildings, there are certain issues that have remained unresolved for decades, which therefore reduce the effectiveness of modern RC systems. This issue is ensuring the durability of RC structures. This article presents the scientific foundations of fatigue theory, new methods, and techniques for calculating the fatigue strength of RC structures.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>здания</kwd><kwd>конструкции</kwd><kwd>железобетон</kwd><kwd>циклические нагрузки</kwd><kwd>усталость</kwd><kwd>выносливость</kwd><kwd>виброползучесть</kwd></kwd-group><kwd-group xml:lang="en"><kwd>buildings</kwd><kwd>designs</kwd><kwd>reinforced concrete</kwd><kwd>repeatedly repeating loadings</kwd><kwd>endurance</kwd><kwd>deformations of cyclic creep</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">Бондаренко В.М. Вопросы энергетической оптимизации железобетонных конструкций при динамическом нагружении // Строительная механика инженерных конструкций и сооружений. 2015. № 5. С. 34–38.</mixed-citation><mixed-citation xml:lang="en">Bondarenko V.M. Issues of energy optimization of reinforced concrete structures under dynamic loading. Structural Mechanics of Engineering Constructions and Buildings. 2015; 5:34-38. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Зенин С.А., Крылов С.Б., Шарипов Р.Ш., Кудинов О.В. К актуализации методики расчета железобетонных конструкций по выносливости // Бетон и железобетон. 2021. № 1 (603). С. 17–22.</mixed-citation><mixed-citation xml:lang="en">Zenin S.A., Krylov S.B., Sharipov R.Sh., Kudinov O.V. On the updating of the method for calculating reinforced concrete structures for endurance. Concrete and Reinforced Concrete. 2021; 1(603):17-22. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Крылов С.Б., Зенин С.А., Шарипов Р.Ш., Волков Ю.С., Цигулев А.О. Определение напряжений в арматуре железобетонных конструкций для расчета по предельному состоянию по усталости // Строительная механика и расчет сооружений. 2020. № 5 (292). С. 4–11.</mixed-citation><mixed-citation xml:lang="en">Krylov S.B., Zenin S.A., Sharipov R.Sh., Volkov Yu.S., Tsigulev A.O. Determination of stresses in reinforcement of reinforced concrete structures for calculation by the limit state of fatigue. Structural Mechanics and Analysis of Structures. 2020; 5(292):4-11. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Мирсаяпов Ил.Т. Физические модели усталостного сопротивления железобетонных изгибаемых элементов действию поперечных сил // Известия ВУЗов: «Строительство». Новосибирск, 2006. № 8. С. 4–13.</mixed-citation><mixed-citation xml:lang="en">Mirsayapov Il.T. Physical models of fatigue resistance of reinforced concrete bending elements under the action of transverse forces. Proceedings of Universities: Construction. Novosibirsk, 2006; 8:4-13. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Мирсаяпов Ил.Т. Предел выносливости анкеровки арматуры // Сейсмостойкое строительство. Безопасность сооружений. М., 2016. № 1. С. 37–42.</mixed-citation><mixed-citation xml:lang="en">Mirsayapov Il.T. Fatigue limit of reinforcement anchorage. Earthquake-resistant Construction. Safety of Structures. Moscow, 2016; 1:37-42. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Мирсаяпов Ил.Т. Альтернативная теория выносливости железобетона // Известия КГАСУ. 2026. № 1.</mixed-citation><mixed-citation xml:lang="en">Mirsayapov Il.T. Alternative theory of reinforced concrete endurance. Proceedings of Kazan State University of Architecture and Engineering (KGASU). 2026; 1. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Мирсаяпов Ил.Т. Напряженно-деформированное состояние в заделке арматуры при многократно повторяющихся нагрузках // Вестник МГСУ. М., 2016. № 5. С. 28–36.</mixed-citation><mixed-citation xml:lang="en">Mirsayapov Il.T. Stress-strain state in the embedment of reinforcement under repeated loads. Vestnik MGSU. 2016; 5:28-36. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Мирсаяпов Ил.Т., Апхадзе Г.Т., Симаков В.Д. Численный анализ нелинейного поведения железобетонных конструкций на твердотельных моделях : монография. Казань, 2023. 211 с.</mixed-citation><mixed-citation xml:lang="en">Mirsayapov Il.T., Aphadze G.T., Simakov V.D. Numerical analysis of nonlinear behavior of reinforced concrete structures on solid-state models : monograph. Kazan, 2023; 211. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Трекин Н.Н., Кодыш Э.Н., Шмаков С.Д., Лелетко Д.П., Чаганов А.Б. Фактическое напряженно-деформированное состояние железобетонного изгибаемого элемента на различных этапах нагружения // Бетон и железобетон. 2025. № 5 (630). С. 30–41.</mixed-citation><mixed-citation xml:lang="en">Trekin N.N., Kodysh E.N., Shmakov S.D., Leletko D.P., Chaganov A.B. Actual stress-strain state of a reinforced concrete bending element at various stages of loading. Concrete and Reinforced Concrete. 2025; 5(630):30-41. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Шарипов Р.Ш., Волков Ю.С., Зенин С.А., Крылов С.Б. К вопросу разработки требований к методике расчета железобетонных конструкций при действии многократно повторяющейся нагрузки // Бюллетень строительной техники. 2020. № 7. С. 53–56.</mixed-citation><mixed-citation xml:lang="en">Sharipov R.Sh., Volkov Yu.S., Zenin S.A., Krylov S.B. On the issue of developing requirements for the method of calculating reinforced concrete structures under repeated loading. Bulletin of Construction Equipment. 2020; 7:53-56. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Шарипов Р.Ш., Зенин С.А., Крылов С.Б., Волков Ю.С. Оценка методов расчета железобетонных конструкций для предельного состояния по усталости // Вестник НИЦ «Строительство». 2020. № 4 (27). С. 148–159.</mixed-citation><mixed-citation xml:lang="en">Sharipov R.Sh., Zenin S.A., Krylov S.B., Volkov Yu.S. Evaluation of calculation methods for reinforced concrete structures for the limit state of fatigue. Bulletin of Research Center "Construction". 2020; 4(27):148-159. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Augeard E., Ferrier E., Michel L. Mechanical behavior of timber-concrete composite members under cyclic loading and creep // Eng. Struct. 2020. No. 210. P. 110289. DOI: 10.1016/j.engstruct.2020.110289</mixed-citation><mixed-citation xml:lang="en">Augeard E., Ferrier E., Michel L. Mechanical behavior of timber-concrete composite members under cyclic loading and creep. Eng. Struct. 2020; 210:110289. DOI: 10.1016/j.engstruct.2020.110289</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Barcley L., Kowalsky M. Critical bending strain of reinforcing steel and the buckled bar tension test // ACI Materials Journal. 2019. No. 3 (116). Pp. 53–61. DOI: 10.14359/51715583</mixed-citation><mixed-citation xml:lang="en">Barcley L., Kowalsky M. Critical bending strain of reinforcing steel and the buckled bar tension test. ACI Materials Journal. 2019; 3(116):53-61. DOI: 10.14359/51715583</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Chen E., Berrocal C.G., Löfgren I., Lundgren K. Correlation between concrete cracks and corrosion characteristics of steel reinforcement in pre-cracked plain and fibre reinforced concrete beams // Mater. Struct. Constr. 2020. No. 2 (53). DOI: 10.1617/s11527-020-0146</mixed-citation><mixed-citation xml:lang="en">Chen E., Berrocal C.G., Löfgren I., Lundgren K. Correlation between concrete cracks and corrosion characteristics of steel reinforcement in pre-cracked plain and fibre reinforced concrete beams. Mater. Struct. Constr. 2020; 2(53). DOI: 10.1617/s11527-020-0146</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Choe G., Shinohara Y., Kim G., Lee S., Lee E., Nam J. Concrete corrosion cracking and transverse bar strain behavior in a reinforced concrete column under simulated marine conditions // Appl. Sci. 2020. No. 5 (10). DOI: 10.3390/app10051794</mixed-citation><mixed-citation xml:lang="en">Choe G., Shinohara Y., Kim G., Lee S., Lee E., Nam J. Concrete corrosion cracking and transverse bar strain behavior in a reinforced concrete column under simulated marine conditions. Appl. Sci. 2020; 5(10). DOI: 10.3390/app10051794</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Gambarelli S., Ožbolt J. Interaction between damage and time-dependent deformation of mortar in concrete: 3D FE study at meso-scale // IOP Conf. Ser. Mater. Sci. Eng. 2019. No. 615. P. 012013. DOI: 10.1088/1757-899X/615/1/012013</mixed-citation><mixed-citation xml:lang="en">Gambarelli S., Ožbolt J. Interaction between damage and time-dependent deformation of mortar in concrete: 3D FE study at meso-scale. IOP Conf. Ser. Mater. Sci. Eng. 2019; 615:012013. DOI: 10.1088/1757-899X/615/1/012013</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Luo X., Tan Z., Chen Y.F., Wang Y. Comparative study on fatigue behavior between unbonded prestressed and ordinary reinforced reactive powder concrete beams // Mater. Test. 2019. No. 4 (61). Pp. 323–328. DOI: 10.3139/120.111323</mixed-citation><mixed-citation xml:lang="en">Luo X., Tan Z., Chen Y.F., Wang Y. Comparative study on fatigue behavior between unbonded prestressed and ordinary reinforced reactive powder concrete beams. Mater. Test. 2019; 4(61):323-328. DOI: 10.3139/120.111323</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Mirsayapov Il.T. Endurance of reinforced concrete beams with small shear spans // Lecture Notes in Civil Engineering. 2020. Pp. 763–775.</mixed-citation><mixed-citation xml:lang="en">Mirsayapov Il.T. Endurance of reinforced concrete beams with small shear spans. Lecture Notes in Civil Engineering. 2020; 763-775.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Song L., Fan Z., Hou J. Experimental and Analytical Investigation of the Fatigue Flexural Behavior of Corroded Reinforced Concrete Beams // Int. J. Concr. Struct. Mater. 2019. No. 1 (13). DOI: 10.1186/s40069-019-0340-5</mixed-citation><mixed-citation xml:lang="en">Song L., Fan Z., Hou J. Experimental and Analytical Investigation of the Fatigue Flexural Behavior of Corroded Reinforced Concrete Beams. Int. J. Concr. Struct. Mater. 2019; 1(13). DOI: 10.1186/s40069-019-0340-5</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Tang H., Chen Z., Avinesh O., Guo H., Meng Z., Engler-Pinto C., Kang H. Notch Insensitivity in Fatigue Failure of Chopped Carbon Fiber Chip-Reinforced Composites Using Experimental and Computational Analysis // Compos. Struct. 2020. No. 10 (16). P. 112280. DOI: 10.1016/j.compstruct.2020.112280</mixed-citation><mixed-citation xml:lang="en">Tang H., Chen Z., Avinesh O., Guo H., Meng Z., Engler-Pinto C., Kang H. Notch Insensitivity in Fatigue Failure of Chopped Carbon Fiber Chip-Reinforced Composites Using Experimental and Computational Analysis. Compos. Struct. 2020; 10(16):112280. DOI: 10.1016/j.compstruct.2020.112280</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang G., Zhang Y., Zhou Y. Fatigue Tests of Concrete Slabs Reinforced with Stainless Steel Bars // Advances in Materials Science and Engineering. 2018. No. 1. DOI: 10.1155/2018/5451398</mixed-citation><mixed-citation xml:lang="en">Zhang G., Zhang Y., Zhou Y. Fatigue Tests of Concrete Slabs Reinforced with Stainless Steel Bars. Advances in Materials Science and Engineering. 2018; 1. DOI: 10.1155/2018/5451398</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
