<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">10.22227/2949-1622.2026.3.78-99</article-id><article-id custom-type="elpub" pub-id-type="custom">concconc-104</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>КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕ В СТРОИТЕЛЬСТВЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>COMPUTER MODELLING IN CONSTRUCTION</subject></subj-group></article-categories><title-group><article-title>Возможности использования искусственного интеллекта для расчета железобетонных конструкций</article-title><trans-title-group xml:lang="en"><trans-title>Potential of Artificial Intelligence in the Analysis and Design of Reinforced Concrete Structures</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6292-0759</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мацеевич</surname><given-names>Т. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Matseevich</surname><given-names>T. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Татьяна Анатольевна Мацеевич, доктор физико-математических наук, доцент, профессор кафедры железобетонных и каменных конструкций</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p><p>Scopus: 51461741900, ResearcherID: AAB-2742-2020</p></bio><bio xml:lang="en"><p>Tatyana A. Matseevich, Doctor of Physical and Mathematical Sciences, Associate Professor, Professor of the Department of Reinforced Concrete and Masonry Structures</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p><p>Scopus: 51461741900, ResearcherID: AAB-2742-2020</p></bio><email xlink:type="simple">MatseevichTA@mgsu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6697-3388</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Савин</surname><given-names>С. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Savin</surname><given-names>S. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сергей Юрьевич Савин, кандидат технических наук, доцент, доцент кафедры железобетонных и каменных конструкций</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p><p>Scopus: 57052453700, ResearcherID: M-8375-2016</p></bio><bio xml:lang="en"><p>Sergei Yu. Savin, Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Reinforced Concrete and Masonry Structures</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p><p>Scopus: 57052453700, ResearcherID: M-8375-2016</p></bio><email xlink:type="simple">suwin@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7740-9400</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шапошникова</surname><given-names>Ю. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Shaposhnikova</surname><given-names>Yu. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Юлия Александровна Шапошникова, кандидат технических наук, доцент, доцент кафедры железобетонных и каменных конструкций</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p><p>Scopus: 57190858958, ResearcherID: P-8986-2018</p></bio><bio xml:lang="en"><p>Yulia A. Shaposhnikova, Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Reinforced Concrete and Masonry Structures</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p><p>Scopus: 57190858958, ResearcherID: P-8986-2018</p></bio><email xlink:type="simple">yuliatalyzova@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5260-8793</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Манаенков</surname><given-names>И. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Manaenkov</surname><given-names>I. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Иван Константинович Манаенков, кандидат технических наук, доцент, доцент кафедры железобетонных и каменных конструкций</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p><p>Scopus: 57209888951, ResearcherID: AAE-1570-2022</p></bio><bio xml:lang="en"><p>Ivan K. Manaenkov, Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Reinforced Concrete and Masonry Structures</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p><p>Scopus: 57209888951, ResearcherID: AAE-1570-2022</p></bio><email xlink:type="simple">manaenkov.i.k@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6240-9993</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Черник</surname><given-names>В. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Chernik</surname><given-names>V. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Владимир Игоревич Черник, кандидат технических наук, доцент кафедры железобетонных и каменных конструкций</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p><p>РИНЦ AuthorID: 1091685, Scopus: 57218420224, ResearcherID: AAD-8260-2022</p></bio><bio xml:lang="en"><p>Vladimir I. Chernik, Candidate of Technical Sciences, Associate Professor of the Department of Reinforced Concrete and Stone Structures</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p><p>RSCI AuthorID: 1091685, Scopus: 57218420224, ResearcherID: AAD-8260-2022</p></bio><email xlink:type="simple">chernik_vi@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский Московский государственный строительный университет (НИУ МГСУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow State University of Civil Engineering (National Research University) (MGSU)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>28</day><month>08</month><year>2026</year></pub-date><volume>15</volume><issue>3</issue><fpage>78</fpage><lpage>99</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мацеевич Т.А., Савин С.Ю., Шапошникова Ю.А., Манаенков И.К., Черник В.И., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Мацеевич Т.А., Савин С.Ю., Шапошникова Ю.А., Манаенков И.К., Черник В.И.</copyright-holder><copyright-holder xml:lang="en">Matseevich T.A., Savin S.Y., Shaposhnikova Y.A., Manaenkov I.K., Chernik V.I.</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/104">https://www.g-b-k.ru/jour/article/view/104</self-uri><abstract><p>В данной обзорно-аналитической статье выполнена систематизация и критический анализ современного состояния исследований по применению машинного обучения для расчета железобетонных конструкций. В работе рассмотрены основные разновидности используемых моделей машинного обучения, проанализированы количественные метрики для оценки качества их предсказаний, а также обсуждены проблемы, связанные с интерпретируемостью результатов, оценкой ошибок и выявлением нелинейных зависимостей. Отдельное внимание уделено существующим пробелам в научном знании в области расчета железобетонных конструкций с использованием моделей машинного обучения, нормативным коллизиям и ограничениям, препятствующим практическому внедрению технологий ИИ в проектирование. На основе проведенного анализа сформулированы перспективные направления дальнейших исследований.</p></abstract><trans-abstract xml:lang="en"><p>In this review, the current state of research on the use of machine learning for the design of reinforced concrete structures has been systematized and critically analyzed. The paper examines the main types of machine learning models used, analyzes quantitative metrics for assessing the quality of their predictions, and discusses issues related to the interpretability of results, error estimation, and the identification of nonlinear relationships. Special attention is given to existing gaps in scientific knowledge, regulatory conflicts, and limitations that hinder the practical implementation of AI technologies in design. Based on the analysis, promising directions for future research have been identified.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>железобетон</kwd><kwd>конструкция</kwd><kwd>расчет</kwd><kwd>искусственный интеллект</kwd><kwd>машинное обучение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>reinforced concrete</kwd><kwd>structural design</kwd><kwd>structural analysis</kwd><kwd>artificial intelligence</kwd><kwd>machine learning</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">Захаров Ф.Н., Цзе Ц., И.С. Физически-информированные нейронные сети для задач строительной механики и конструкций: моделирование прогиба однопролетной балки // Железобетонные конструкции. 2025. № 9 (1). С. 35–48. DOI: 10.22227/2949-1622.2025.1.35-48</mixed-citation><mixed-citation xml:lang="en">Zakharov F.N., Jie Q., Yi X. Physics-Informed Neural Networks for Structural Mechanics and Construction: Modeling the Deflection of a Single-Span Beam Physics-Informed Neural Networks. Reinforced concrete structures. 2025; 9(1):35-48. DOI: 10.22227/2949-1622.2025.1.35-48 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Breiman L. Random forests. Mach Learn. 2001. 45 p. DOI: 10.1023/A:1010933404324</mixed-citation><mixed-citation xml:lang="en">Breiman L. Random forests. Mach Learn. 2001; 45. DOI: 10.1023/A:1010933404324</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Natekin A., Knoll A. Gradient boosting machines : a tutorial // Front Neurorobot. 2013. P. 7. DOI: 10.3389/fnbot.2013.00021</mixed-citation><mixed-citation xml:lang="en">Natekin A., Knoll A. Gradient boosting machines : a tutorial. Front Neurorobot. 2013; 7. DOI: 10.3389/fnbot.2013.00021</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Cortes C., Vapnik V. Support-Vector Networks // Mach Learn. 1995. № 20. DOI: 10.1023/A:1022627411411</mixed-citation><mixed-citation xml:lang="en">Cortes C., Vapnik V. Support-Vector Networks. Mach Learn. 1995; 20. DOI: 10.1023/A:1022627411411</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Sayed Y.A.K., Alzhraa I.A., Tamrazyan A.G., Fahmy M.F.M. Machine-learning-based models versus design-oriented models for predicting the axial compressive load of FRP-confined rectangular RC columns // Engineering Structures. 2023. Vol. 285. Р. 116030. DOI: 10.1016/j.engstruct.2023.116030</mixed-citation><mixed-citation xml:lang="en">Sayed Y.A.K., Alzhraa I.A., Tamrazyan A.G., Fahmy M.F.M. Machine-learning-based models versus design-oriented models for predicting the axial compressive load of FRP-confined rectangular RC columns. Engineering Structures. 2023; 285:116030. DOI: 10.1016/j.engstruct.2023.116030</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Mustafa R., Ahmad M.T. Appraisal of numerous machine learning techniques for the prediction of axial load carrying capacity of rectangular concrete column // Asian J Civ Eng. 2024. Vol. 25. Рр. 4471–4486. DOI: 10.1007/s42107-024-01060-6</mixed-citation><mixed-citation xml:lang="en">Mustafa R., Ahmad M.T. Appraisal of numerous machine learning techniques for the prediction of axial load carrying capacity of rectangular concrete column. Asian J Civ Eng. 2024; 25:4471-4486. DOI: 10.1007/s42107-024-01060-6</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Couto C., Tong Q., Gernay T. Predicting the Capacity of Thin-Walled Beams at Elevated Temperature with Machine Learning // Fire Saf J. 2022. Vol. 130. DOI: 10.1016/j.firesaf.2022.103596</mixed-citation><mixed-citation xml:lang="en">Couto C., Tong Q., Gernay T. Predicting the Capacity of Thin-Walled Beams at Elevated Temperature with Machine Learning. Fire Saf J. 2022; 130. DOI: 10.1016/j.firesaf.2022.103596</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Fu F. Fire Induced Progressive Collapse Potential Assessment of Steel Framed Buildings Using Machine Learning // J Constr Steel Res. 2020. Vol. 166. DOI: 10.1016/j.jcsr.2019.105918</mixed-citation><mixed-citation xml:lang="en">Fu F. Fire Induced Progressive Collapse Potential Assessment of Steel Framed Buildings Using Machine Learning. J Constr Steel Res. 2020; 166. DOI: 10.1016/j.jcsr.2019.105918</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Zhu Y.F., Yao Y., Huang Y., Chen C.H., Zhang H.Y., Huang Z. Machine Learning Applications for Assessment of Dynamic Progressive Collapse of Steel Moment Frames // Structures. 2022. Р. 36. DOI: 10.1016/j.istruc.2021.12.067</mixed-citation><mixed-citation xml:lang="en">Zhu Y.F., Yao Y., Huang Y., Chen C.H., Zhang H.Y., Huang Z. Machine Learning Applications for Assessment of Dynamic Progressive Collapse of Steel Moment Frames. Structures. 2022; 36. DOI: 10.1016/j.istruc.2021.12.067</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Das O. Prediction of the Natural Frequencies of Various Beams Using Regression Machine Learning Models // Sigma Journal of Engineering and Natural Sciences. 2023. Vol. 41. DOI: 10.14744/sigma.2023.00040</mixed-citation><mixed-citation xml:lang="en">Das O. Prediction of the Natural Frequencies of Various Beams Using Regression Machine Learning Models. Sigma Journal of Engineering and Natural Sciences. 2023; 41. DOI: 10.14744/sigma.2023.00040</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Ншимиримана Ж.Д., Эльшейх А.М. Автоматизация армирования железобетонных конструкций с помощью технологии информационного моделирования и визуального программирования // Вестник евразийской науки. 2025. Т. 17. № 2. URL: https://esj.today/PDF/36SAVN225.pdf</mixed-citation><mixed-citation xml:lang="en">Nshimirimana Zh.D., Elsheikh A.M. Automation of Reinforcement of Reinforced Concrete Structures Using Building Information Modeling and Visual Programming Technology. Bulletin of Eurasian Science. 2025; 17:2. URL: https://esj.today/PDF/36SAVN225.pdf (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Фомин Н.И., Исупов Н.С. Оценка качества компоновки несущих конструкций с применением технологии генеративного проектирования // Вестник евразийской науки. 2024. Т. 16. № 5. URL: https://esj.today/PDF/54SAVN524.pdf</mixed-citation><mixed-citation xml:lang="en">Fomin N.I., Isupov N.S. Assessment of the Quality of Arrangement of Load-Bearing Structures Using Generative Design Technology. Bulletin of Eurasian Science. 2024; 16:5. URL: https://esj.today/PDF/54SAVN524.pdf (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Tahmassebi A., Motamedi M., Alavi A.H., Gandomi A.H. An explainable prediction framework for engineering problems: case studies in reinforced concrete members modeling // Journal of Engineering Computations. 2021. URL: https://opus.lib.uts.edu.au/bitstream/10453/167687/2/Engineering_Computations_RC_Failures_XGB_SHAP%20%281%29%20%281%29.pdf</mixed-citation><mixed-citation xml:lang="en">Tahmassebi A., Motamedi M., Alavi A.H., Gandomi A.H. An explainable prediction framework for engineering problems: case studies in reinforced concrete members modeling. Journal of Engineering Computations. 2021. URL: https://opus.lib.uts.edu.au/bitstream/10453/167687/2/Engineering_Computations_RC_Failures_XGB_SHAP%20%281%29%20%281%29.pdf</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Varghese S., Anand R., Paliwal G. Physics-Informed Neural Network for Concrete Manufacturing Process Optimization // Computer Science. Machine Learning. 2024. DOI: 10.48550/arXiv.2408.14502</mixed-citation><mixed-citation xml:lang="en">Varghese S., Anand R., Paliwal G. Physics-Informed Neural Network for Concrete Manufacturing Process Optimization. Computer Science. Machine Learning. 2024. DOI: 10.48550/arXiv.2408.14502</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Ke Y., Liu C.W., Zhang S.S. Physics-informed neural network (PINN)-based numerical simulation of concrete mechanical responses // Engineering Structures. 2026. Vol. 350. Р. 121982. DOI: 10.1016/j.engstruct.2025.121982</mixed-citation><mixed-citation xml:lang="en">Ke Y., Liu C.W., Zhang S.S. Physics-informed neural network (PINN)-based numerical simulation of concrete mechanical responses. Engineering Structures. 2026; 350:121982. DOI: 10.1016/j.engstruct.2025.121982</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Qi Y., Ding Z., Luo Y., Ma Z. A Three-Step Computer Vision-Based Framework for Concrete Crack Detection and Dimensions Identification // Buildings. 2024. No. 14. Р. 2360. DOI: 10.3390/buildings14082360</mixed-citation><mixed-citation xml:lang="en">Qi Y., Ding Z., Luo Y., Ma Z. A Three-Step Computer Vision-Based Framework for Concrete Crack Detection and Dimensions Identification. Buildings. 2024; 14:2360. DOI: 10.3390/buildings14082360</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Kong X., Smyl D. Investigation of the condominium building collapse in Surfside, Florida: A video feature tracking approach // Structures. 2022. Vol. 43. Рр. 533–545. DOI: 10.1016/j.istruc.2022.06.009</mixed-citation><mixed-citation xml:lang="en">Kong X., Smyl D. Investigation of the condominium building collapse in Surfside, Florida: A video feature tracking approach. Structures. 2022; 43:533-545. DOI: 10.1016/j.istruc.2022.06.009</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Savin S.Yu., Sharipov M.Z. Nonlinear visco-elastic behavior of concrete under static-dynamic loading: Experimental and numerical studies // Structures. 2025. Vol. 74. Р. 108496.</mixed-citation><mixed-citation xml:lang="en">Savin S.Yu., Sharipov M.Z. Nonlinear visco-elastic behavior of concrete under static-dynamic loading: Experimental and numerical studies. Structures. 2025; 74:108496.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Reklaitis G.V., Ravindran A., Ragsdell K.M. Engineering Optimization: Methods and Applications. John Wiley &amp; Sons, 2006.</mixed-citation><mixed-citation xml:lang="en">Reklaitis G.V., Ravindran A., Ragsdell K.M. Engineering Optimization: Methods and Applications. John Wiley &amp; Sons, 2006.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Pan X., Yang T.T.Y., Li J. et al. A review of recent advances in data-driven computer vision methods for structural damage evaluation: algorithms, applications, challenges, and future opportunities // Arch Computat Methods Eng. 2025. Vol. 32. Pp. 4587–4619. DOI: 10.1007/s11831-025-10279-8</mixed-citation><mixed-citation xml:lang="en">Pan X., Yang T.T.Y., Li J. et al. A review of recent advances in data-driven computer vision methods for structural damage evaluation: algorithms, applications, challenges, and future opportunities. Arch Computat Methods Eng. 2025; 32:4587-4619. DOI: 10.1007/s11831-025-10279-8</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Song Y., Zhang Q., Su Y., Zhang S., Wang R., Zhang W., Bi Z., Yu Y. Advances in crack dataset development and deep learning-based detection models // Journal of Building Engineering. 2025. Vol. 116. Р. 114734.</mixed-citation><mixed-citation xml:lang="en">Song Y., Zhang Q., Su Y., Zhang S., Wang R., Zhang W., Bi Z., Yu Y. Advances in crack dataset development and deep learning-based detection models. Journal of Building Engineering. 2025; 116:114734.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Hassouna M., Marzouk M., Fathalla E. Automated low-cost framework for crack measurements in RC structures using deep learning approach. 2026. Р. 14678. DOI: 10.1038/s41598-026-50880-w</mixed-citation><mixed-citation xml:lang="en">Hassouna M., Marzouk M., Fathalla E. Automated low-cost framework for crack measurements in RC structures using deep learning approach. 2026; 14678. DOI: 10.1038/s41598-026-50880-w</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Kemal H., Serhat D. Deep Learning-Based Automated Crack Detection for Post-Earthquake Damage Assessment in Reinforced Concrete Structures // Advances in Civil Engineering. 2026. Р. 6845779. DOI: 10.1155/adce/6845779</mixed-citation><mixed-citation xml:lang="en">Kemal H., Serhat D. Deep Learning-Based Automated Crack Detection for Post-Earthquake Damage Assessment in Reinforced Concrete Structures. Advances in Civil Engineering. 2026; 6845779. DOI: 10.1155/adce/6845779</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Левин Р., Дранг Д., Эделсон Б. Практическое введение в технологию искусственного интеллекта и экспертных систем с иллюстрациями на Бейсике / пер. с англ.; предисл. М.Л. Сальникова, Ю.В. Сальниковой. М. : Финансы и статистика, 1990. 239 с.</mixed-citation><mixed-citation xml:lang="en">Levin R., Drang D., Edelson B. Practical Introduction to Artificial Intelligence and Expert Systems Technology with Illustrations in BASIC. Translated from English. Preface by M.L. Salnikov, Yu.V. Salnikova. Moscow, Finansy i statistika, 1990; 239. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Римшин В.И., Трунтов П.С., Молчанова А.Е. Методы применения искусственного интеллекта при моделировании напряженно-деформированного состояния усиленных конструкций // Вестник Поволжского государственного технологического университета. Серия «Материалы. Конструкции. Технологии». 2023. № 3 (27). С. 45–54. DOI: 10.25686/2542-114X.2023.3.45</mixed-citation><mixed-citation xml:lang="en">Rimshin V.I., Truntov P.S., Molchanova A.E. Methods of Applying Artificial Intelligence in Modeling the Stress-Strain State of Strengthened Structures. Bulletin of the Volga State Technological University. Series "Materials. Structures. Technologies". 2023; 3(27):45-54. DOI: 10.25686/2542-114X.2023.3.45 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Li C. et al. Physics-Informed Gaussian Process Regression for the Constitutive Modeling of Concrete: A Data-Driven Improvement to Phenomenological Models // arXiv. Preprint, 2026. URL: https://arxiv.org/abs/2601.03367</mixed-citation><mixed-citation xml:lang="en">Li C. et al. Physics-Informed Gaussian Process Regression for the Constitutive Modeling of Concrete: A Data-Driven Improvement to Phenomenological Models. arXiv. Preprint, 2026. URL: https://arxiv.org/abs/2601.03367</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Guo X., Song Zh. Review on crack monitoring technology based on physics-informed neural networks // Jixie Qiangdu (Mechanical Strength). 2025. Vol. 47. Рр. 18–30. DOI: 10.16579/j.issn.1001.9669.2025.12.002</mixed-citation><mixed-citation xml:lang="en">Guo X., Song Zh. Review on crack monitoring technology based on physics-informed neural networks. Jixie Qiangdu (Mechanical Strength). 2025; 47:18-30. DOI: 10.16579/j.issn.1001.9669.2025.12.002</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Saeed H.M. et al. Recent Advances of Machine Learning in Fracture Mechanics of Quasi-Brittle Materials : a Review // Jurnal Kejuruteraan. 2025. No. 37 (7). Pp. 3151–3172. DOI: 10.17576/jkukm-2025-37(7)-06</mixed-citation><mixed-citation xml:lang="en">Saeed H.M. et al. Recent Advances of Machine Learning in Fracture Mechanics of Quasi-Brittle Materials : a Review. Jurnal Kejuruteraan. 2025; 37(7):3151-3172. DOI: 10.17576/jkukm-2025-37(7)-06</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Baniya S., Maity D. A comprehensive review of theoretical concepts and advancements in physics-informed neural networks with applications in structural engineering // Artificial Intelligence Review. 2025. Vol. 59. No. 49. DOI: 10.1007/s10462-025-11444-y</mixed-citation><mixed-citation xml:lang="en">Baniya S., Maity D. A comprehensive review of theoretical concepts and advancements in physics-informed neural networks with applications in structural engineering. Artificial Intelligence Review. 2025; 59:49. DOI: 10.1007/s10462-025-11444-y</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Varghese S., Anand R., Paliwal G. Physics-Informed Neural Network for Concrete Manufacturing Process Optimization // arXiv. 2025. Vol. 2408. Р. 14502. DOI: 10.48550/arXiv.2408.14502</mixed-citation><mixed-citation xml:lang="en">Varghese S., Anand R., Paliwal G. Physics-Informed Neural Network for Concrete Manufacturing Process Optimization. arXiv. 2025; 2408:14502. DOI: 10.48550/arXiv.2408.14502</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Sahin T., Wolff D., von Danwitz M., Popp A. Towards a Hybrid Digital Twin: Fusing Sensor Information and Physics in Surrogate Modeling of a Reinforced Concrete Beam // Proceedings of the 2024 Sensor Data Fusion: Trends, Solutions, Applications (SDF 2024). 2024. DOI: 10.1109/SDF63218.2024.10773885</mixed-citation><mixed-citation xml:lang="en">Sahin T., Wolff D., von Danwitz M., Popp A. Towards a Hybrid Digital Twin: Fusing Sensor Information and Physics in Surrogate Modeling of a Reinforced Concrete Beam. Proceedings of the 2024 Sensor Data Fusion: Trends, Solutions, Applications (SDF 2024). 2024. DOI: 10.1109/SDF63218.2024.10773885</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>
