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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">10.22227/1997-0935.2024.10.1641-1650</article-id><article-id custom-type="elpub" pub-id-type="custom">mgssuvest-397</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>Гидравлика. Геотехника. Гидротехническое строительство</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Hydraulics. Geotechnique. Hydrotechnical construction</subject></subj-group></article-categories><title-group><article-title>Теоретические основы количественной оценки расширения лидирующей скважины щебеночной буронабивной сваи в нелинейной постановке</article-title><trans-title-group xml:lang="en"><trans-title>Theoretical basis for quantitative evaluation of the expansion of the leading hole of a crushed stone bored pile in a nonlinear setting</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8787-826X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тер-Мартиросян</surname><given-names>А. З.</given-names></name><name name-style="western" xml:lang="en"><surname>Ter-Martirosyan</surname><given-names>A. Z.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Армен Завенович Тер-Мартиросян — доктор технических наук, профессор кафедры механики грунтов и геотехники, проректор</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p><p>РИНЦ AuthorID: 675967, Scopus: 35621133900, ResearcherID: Q-8635-2017</p></bio><bio xml:lang="en"><p>Armen Z. Ter-Martirosyan — Doctor of Technical Sciences, Professor of the Department of Soil Mechanics and Geotechnics, Vice-rector</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p><p>RSCI AuthorID: 675967, Scopus: 35621133900, ResearcherID: Q-8635-2017</p></bio><email xlink:type="simple">gic-mgsu@mail.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/0009-0001-5151-0030</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тхием</surname><given-names>Чан Мань</given-names></name><name name-style="western" xml:lang="en"><surname>Thiem</surname><given-names>Tran Manh</given-names></name></name-alternatives><bio xml:lang="ru"><p>Чан Мань Тхием — аспирант кафедры механики грунтов и геотехники</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p></bio><bio xml:lang="en"><p>Tran Manh Thiem — postgraduate of the Department of Soil Mechanics and Geotechnics</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p></bio><email xlink:type="simple">tranmanhthiem@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Национальный исследовательский Московский государственный строительный университет (НИУ МГСУ)<country>Россия</country></aff><aff xml:lang="en">Moscow State University of Civil Engineering (National ResearchUniversity) (MGSU)<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>31</day><month>10</month><year>2024</year></pub-date><volume>19</volume><issue>10</issue><fpage>1641</fpage><lpage>1650</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Тер-Мартиросян А.З., Тхием Ч., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Тер-Мартиросян А.З., Тхием Ч.</copyright-holder><copyright-holder xml:lang="en">Ter-Martirosyan A.Z., Thiem T.</copyright-holder><license 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/397">https://www.vestnikmgsu.ru/jour/article/view/397</self-uri><abstract><sec><title>Введение</title><p>Введение. Известно, что для уплотнения слабых грунтов на глубине применяются различные методы, включая создание грунтовых колонн путем объемного расширения порции материала (щебень, песок и т.д.) под воздействием вертикальной нагрузки в забое скважины. С увеличением вертикальной нагрузки происходит увеличение диаметра рабочего материала до определенного значения, что приводит к возникновению значительных радиальных и тангенциальных напряжений в окружающем слабом грунте. Настоящая работа посвящена разработке теоретических основ изготовления щебеночной буронабивной сваи, позволяющих дать количественную оценку напряженно-деформированного состояния (НДС) в грунтовом цилиндре вследствие расширения диаметра лидирующей скважины. Изложены постановка и решение задачи по оценке НДС толстостенного грунтового цилиндра ограниченных размеров (диаметр, высота) с диаметром скважины. По существу, это общеизвестная задача Лямэ о толстостенной трубе.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Задача рассмотрена в линейной и нелинейной постановках. Решение получено аналитическим методом. Для оценки НДС толстостенного грунтового цилиндра использовались решение задачи Лямэ о толстостенной трубе и системы физических уравнений Генки.</p></sec><sec><title>Результаты</title><p>Результаты. Получены выражения для определения перемещения стенки скважины в радиальном направлении, радиального и касательного напряжений в грунтовом цилиндре. Показаны кривые зависимости радиального перемещения от давления на стенки скважины. Результаты отображены графически.</p></sec><sec><title>Выводы</title><p>Выводы. Полученные решения могут быть применены для определения радиального перемещения стенки скважины при глубинном уплотнении слабых грунтов методом создания грунтовых колонн путем объемного расширения в линейной и нелинейной постановках. Построены кривые зависимости радиального перемещения от давления на стенки скважины при различных деформированных и прочностных параметрах окружающих грунтов, а также геометрических параметров.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. It is known that various methods are used to compact soft soils at depth, including the creation of soil columns by volumetric expansion of a portion of material (crushed stone, sand, etc.) under the influence of vertical load at the bottom of the well. With an increase in vertical load, the diameter of the working material increases to a certain value, resulting in significant radial and tangential stresses in the surrounding soft soil. This work is devoted to the development of the theoretical foundations for the manufacture of crushed stone bored piles that make it possible to quantify the stress-strain state in a soil cylinder due to the expansion of the diameter of the leading well. The formulation and solution of the problem of estimating the stress-strain state of a thick-walled soil cylinder of limited dimensions (diameter, height) with the diameter of a well are presented. Essentially, this is the well-known Lame problem of a thick-walled pipe.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. The problem was considered in linear and nonlinear formulations. The solution was obtained by the analytical method. To estimate the stress-strain state of a thick-walled soil cylinder, the solution to the Lame problem of a thick-walled pipe and the system of Genki physical equations was used.</p></sec><sec><title>Results</title><p>Results. The expressions are obtained to determine the radial displacement of the borehole wall, radial and tangential stresses in the soil cylinder. The curves dependency of the radial displacement on radial pressure of borehole wall are shown. The achieved results are illustrated with graphics.</p></sec><sec><title>Conclusions</title><p>Conclusions. The obtained solutions can be used to determine the radial displacement of the borehole wall during deep compaction of soft soils in linear and nonlinear formulations by adding crushed stone columns. The curves dependency of the radial displacement on radial pressure of borehole wall with various stiffness and strength parameters of the surrounding soils, as well as geometric parameters are presented.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>слабые глинистые грунты</kwd><kwd>свая-дрена</kwd><kwd>фундамент</kwd><kwd>напряженно-деформированное состояние</kwd><kwd>преобразование слабых оснований</kwd><kwd>укрепление оснований</kwd></kwd-group><kwd-group xml:lang="en"><kwd>soft clay soils</kwd><kwd>drain pile</kwd><kwd>foundation</kwd><kwd>stress-strain state</kwd><kwd>weak base conversion</kwd><kwd>foundation reinforcement</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Основная идея статьи принадлежит профессору Завену Григорьевичу Тер-Мартиросяну и посвящается его памяти.</funding-statement></funding-group><funding-group xml:lang="en"><funding-statement>The main idea of the article belongs to Professor Zaven Grigorievich Ter-Martirosyan and is dedicated to his memory.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Barron R.A. 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