<?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">kaz29</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Казахстанско-Британского технического университета</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of the Kazakh-British Technical University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-6688</issn><issn pub-type="epub">2959-8109</issn><publisher><publisher-name>Казахстанско-Британский Технический Университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.55452/1998-6688-2024-21-2-238-254</article-id><article-id custom-type="elpub" pub-id-type="custom">kaz29-1270</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>ФИЗИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICAL SCIENCES</subject></subj-group></article-categories><title-group><article-title>ГАЗОДИНАМИЧЕСКИЕ ПРОЦЕССЫ, ПРОИСХОДЯЩИЕ ПРИ РАЗРУШЕНИИ ГАЗОПРОВОДОВ, И МЕТОДЫ ИХ АНАЛИЗА</article-title><trans-title-group xml:lang="en"><trans-title>GAS-DYNAMIC PROCESSES OCCURRING DURING THE DESTRUCTION OF GAS PIPELINES AND METHODS OF THEIR ANALYSIS</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8153-1449</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Жаңабай</surname><given-names>Н. Ж.</given-names></name><name name-style="western" xml:lang="en"><surname>Zhangabay</surname><given-names>N. Zh.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. техн. наук</p><p>160012, г. Шымкент</p></bio><bio xml:lang="en"><p>candidate of technical sciences</p><p>160012, Shymkent</p></bio><email xlink:type="simple">nurlan.zhanabay777@mail.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>Ибраимова</surname><given-names>Ұ. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Ibraimova</surname><given-names>U. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>магистр, докторант</p><p>160012, г. Шымкент</p></bio><bio xml:lang="en"><p>Master, Doctoral Student</p><p>160012, Shymkent</p></bio><email xlink:type="simple">ibraimova_uljan@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/0000-0001-7798-1044</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сулейменов</surname><given-names>У. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Suleimenov</surname><given-names>U. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. техн. наук</p><p>160012, г. Шымкент</p></bio><bio xml:lang="en"><p>doctor of technical sciences</p><p>160012, Shymkent</p></bio><email xlink:type="simple">ulanbator@inbox.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/0000-0003-2005-3305</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Буганова</surname><given-names>С. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Buganova</surname><given-names>S. H.</given-names></name></name-alternatives><bio xml:lang="ru"><p>канд. техн. наук</p><p>050043, г. Алматы</p></bio><bio xml:lang="en"><p>candidate of technical sciences</p><p>050043, Almaty</p></bio><email xlink:type="simple">Svetlanabuganova7@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4771-9835</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Утелбаева</surname><given-names>А. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Utelbayeva</surname><given-names>A. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д-р. хим. наук</p><p>160012, г. Шымкент</p></bio><bio xml:lang="en"><p>doctor of Chemical Sciences</p><p>160012, Shymkent</p></bio><email xlink:type="simple">mako_01-777@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Южно-Казахстанский исследовательский университет им. М. Ауэзова<country>Казахстан</country></aff><aff xml:lang="en">Auezov University<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Международная образовательная корпорация (КазГАСА)<country>Казахстан</country></aff><aff xml:lang="en">International Educational Corporation<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>02</day><month>07</month><year>2024</year></pub-date><volume>21</volume><issue>2</issue><fpage>238</fpage><lpage>254</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Жаңабай Н.Ж., Ибраимова Ұ.Б., Сулейменов У.С., Буганова С.Н., Утелбаева А.Б., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Жаңабай Н.Ж., Ибраимова Ұ.Б., Сулейменов У.С., Буганова С.Н., Утелбаева А.Б.</copyright-holder><copyright-holder xml:lang="en">Zhangabay N.Z., Ibraimova U.B., Suleimenov U.S., Buganova S.H., Utelbayeva A.B.</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://vestnik.kbtu.edu.kz/jour/article/view/1270">https://vestnik.kbtu.edu.kz/jour/article/view/1270</self-uri><abstract><p>Рассматривается процесс динамического разрушения типового участка стального магистрального газопровода с трещиной под действием газодинамического давления. Исследуется высокоскоростное развитие трещины, которая растет под действием истекающего большого количества газа под высоким давлением. Моделируется процесс движения магистральной трещины, которое индуцируется движением газа. Математическая модель этого процесса включает модель газодинамических процессов в трубе и модель высокоскоростного деформирования и разрушения участка трубы с трещиной. Предложена приближенная аналитическая модель газодинамических процессов, которая позволяет моделировать динамическое убывание давления на внутреннюю поверхность трубы и берега трещины. Динамическое изменение давления базируется на декомпрессии газа в локализованной части трубы в окрестности трещины. Модель учитывает изменение давления газа в трубопроводе вдоль продольной координаты части трубы с трещиной. Рассмотрена численная процедура для расчета газодинамического давления при истечении газа через трещину. Она позволяет определять давление на берега трещины как функцию времени. Результаты этой численной процедуры используются для численного моделирования высокоскоростного деформирования и лавинного разрушения типового участка магистрального газопровода с трещиной. Предложена аналитическая модель, которая использует методы механики разрушения для предсказания критического давления, при котором наблюдается рост трещины в трубе. Модель верифицирована по экспериментальным данным и служит для быстрой оценки целостности трубы. Этот аналитический подход используется для предсказания возможности разрушения трубы на основе свойств материала, геометрии трещины и размеров трубы. Он может использоваться для предварительных оценочных расчетов. Рассмотрен численно-аналитический метод для анализа неупругого динамического разрушения трубы. Он основывается на анализе величины угла раскрытия вершины трещины. Также рассмотрен численный метод анализа напряженного состояния в области трещины, учитывающий пластическое деформирование. Представленные модели позволяют численными методами исследовать динамику развития трещин и, как следствие, разрушение типовых участков магистральных газопроводов под давлением. Использование результатов этих исследований позволит принять превентивные меры для предотвращения случаев лавинного разрушения аварийных участков магистральных трубопроводов.</p></abstract><trans-abstract xml:lang="en"><p>The process of dynamic destruction of a typical section of a steel main gas pipeline with a crack under the action of gas dynamic pressure is considered. The high-speed development of a crack, which grows under the action of a large amount of gas flowing out under high pressure, is investigated. The process of the main crack movement, which is induced by the gas movement, is modeled. The mathematical model of this process includes a model of gas-dynamic processes in a pipe and a model of high-speed deformation and fracture of a pipe section with a crack. An approximate analytical model of gas-dynamic processes is proposed, which makes it possible to simulate the dynamic decrease in pressure on the inner surface of the pipe and the crack bank. The dynamic pressure change is based on decompression of gas in the localized part of the pipe in the vicinity of the crack. The model takes into account the change in gas pressure in the pipeline along the longitudinal coordinate of the part of the pipe with a crack. A numerical procedure for calculating the gas dynamic pressure when gas flows through a crack is considered. It allows you to determine the pressure on the crack banks as a function of time. The results of this numerical procedure are used for numerical simulation of high-speed deformation and avalanche destruction of a typical section of a main gas pipeline with a crack. An analytical model is proposed that uses the methods of fracture mechanics to predict the critical pressure at which crack growth in the pipe is observed. The model is verified according to experimental data and serves for a quick assessment of the integrity of the pipe. This analytical approach is used to predict the possibility of pipe failure based on material properties, crack geometry and pipe dimensions. It can be used for preliminary estimation calculations. A numerical-analytical method for the analysis of inelastic dynamic destruction of a pipe is considered. It is based on the analysis of the magnitude of the crack tip opening angle. A numerical method for analyzing the stress state in the crack region, taking into account plastic deformation, is also considered. The presented models allow numerical methods to investigate the dynamics of crack development and, as a consequence, the destruction of typical sections of main gas pipelines under pressure. Using the results of these studies will make it possible to take preventive measures to prevent cases of avalanche destruction of emergency sections of main pipelines.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>газопровод</kwd><kwd>разрушение</kwd><kwd>газодинамический процесс</kwd><kwd>методы оценки</kwd><kwd>кончик трещины</kwd><kwd>анализ</kwd></kwd-group><kwd-group xml:lang="en"><kwd>gas pipeline</kwd><kwd>destruction</kwd><kwd>gas dynamic processes</kwd><kwd>assessment methods</kwd><kwd>crack tip</kwd><kwd>analysis</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Исследование проводилось в рамках грантового финансирования Комитета науки Министерства науки и высшего образования Республики Казахстан ИРН AP19680589 «Разработка научных основ сопротивляемости магистральных газопроводов протяженному лавинному  разрушению».</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">Отчет национального оператора АО Qazaqgaz за 2021 г. URL: https://qazaqgaz.kz/ru/otchety</mixed-citation><mixed-citation xml:lang="en">Otchet nacional'nogo operatora AO Qazaqgaz za 2021 g. [in Russian] URL:https://qazaqgaz.kz/ru/otchety</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">11th Report of the European Gas Pipeline Incident Data Group (period 1970–2019) December 2020. URL:https://www.egig.eu/reports</mixed-citation><mixed-citation xml:lang="en">11th Report of the European Gas Pipeline Incident Data Group (period 1970–2019) December 2020. URL:https://www.egig.eu/reports.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">UKOPA Pipeline Product Loss Incidents and Faults Report (1962–2020). Report Reference: February 2020. URL: https://www.ukopa.co.uk/published-documents/ukopa-reports/</mixed-citation><mixed-citation xml:lang="en">UKOPA Pipeline Product Loss Incidents and Faults Report (1962–2020). Report Reference: February 2020. URL:https://www.ukopa.co.uk/published-documents/ukopa-reports/</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">PHMSA. Pipelines and Hazardous Materials Safety Administration. Pipeline Incident 20 Year Trends. URL: https://www.phmsa.dot.gov/data-and-statistics/pipeline/pipeline-incident-20-year-trends</mixed-citation><mixed-citation xml:lang="en">PHMSA. Pipelines and Hazardous Materials Safety Administration. Pipeline Incident 20 Year Trends. URL:https://www.phmsa.dot.gov/data-and-statistics/pipeline/pipeline-incident-20-year-trends</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Годовой отчет АО «ИнтергазЦентральнаяАзия» за 2019 г. – Нур-Султан. – 2020. – 78 с. URL: https://intergas.kz/ru/reports/88</mixed-citation><mixed-citation xml:lang="en">Godovoj otchet AO «IntergazCentral'najaAzija» za 2019 g. – Nur-Sultan. – 2020. – 78 с. URL: https://intergas.kz/ru/reports/88.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">URL:https://zonakz.net/2021/03/12/iznos-kazaxstanskix-gazoprovodov-sostavlyaet-bolee-70/</mixed-citation><mixed-citation xml:lang="en">URL:https://zonakz.net/2021/03/12/iznos-kazaxstanskix-gazoprovodov-sostavlyaet-bolee-70/</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Пестриков В.М., Морозов Е.М. Механика разрушения. – 2002. – Санкт-Петербург. [PDF file]. Retrieved from: https://studfile.net/preview/2264467/</mixed-citation><mixed-citation xml:lang="en">Pestrikov V.M., Morozov E.M. (2002). Mehanika razrushenija. Sankt-Peterburg [PDF file] [in Russian]. Retrieved from: https://studfile.net/preview/2264467/</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Ibraimova U. et al. Development of method for calculation of pre-strained steel cylindrical sheaths in view of the winding angle, pitch and thickness // Case Studies in Construction Materials. – 2023. – Vol. 19, e02233. https://doi.org/10.1016/j.cscm.2023.e02233</mixed-citation><mixed-citation xml:lang="en">Ibraimova U. et al. Development of method for calculation of pre-strained steel cylindrical sheaths in view of the winding angle, pitch and thickness // Case Studies in Construction Materials. – 2023. – Vol. 19, e02233. https://doi.org/10.1016/j.cscm.2023.e02233</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">O’Donoghue. P.E., Green S.T., Kanninen M.F., Bowles P.K. The development of a fluid/structure interaction model for flawed fluid containment boundaries with applications to gas transmission and distribution piping // Computers and Structures. – 1991. – Vol. 38. – P. 501–513. https://doi.org/10.1016/0045-7949(91)90002-4.</mixed-citation><mixed-citation xml:lang="en">O’Donoghue. P.E., Green S.T., Kanninen M.F., Bowles P.K. The development of a fluid/structure interaction model for flawed fluid containment boundaries with applications to gas transmission and distribution piping // Computers and Structures. – 1991. – Vol. 38. – P. 501–513. https://doi.org/10.1016/0045-7949(91)90002-4.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">O’Donoghue P.E., Kanninen M.F., Leung C.P., Demofonti G., Venzi S. The development and validation of a dynamic fracture propagation model for gas transmission pipelines // International Journal of Pressure Vessels and Piping. – 1997. – Vol. 70. – P. 11–25. https://doi.org/10.1016/S0308-0161(96)00012-9.</mixed-citation><mixed-citation xml:lang="en">O’Donoghue P.E., Kanninen M.F., Leung C.P., Demofonti G., Venzi S. The development and validation of a dynamic fracture propagation model for gas transmission pipelines // International Journal of Pressure Vessels and Piping. – 1997. – Vol. 70. – P. 11–25. https://doi.org/10.1016/S0308-0161(96)00012-9.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Berardo G., Salvini P. On longitudinal propagation of a ductile fracture in a buried gas pipeline: numerical and experimental analysis. In: Proceedings of the 2000 3rd international pipeline conference, Calgary, Canada. – 2000. https://www.researchgate.net/publication/313743175_On_longitudinal_propagation_of_a_ductile_fracture_in_a_buried_gas_pipeline_numerical_and_experimental_analysis</mixed-citation><mixed-citation xml:lang="en">Berardo G., Salvini P. On longitudinal propagation of a ductile fracture in a buried gas pipeline: numerical and experimental analysis. In: Proceedings of the 2000 3rd international pipeline conference, Calgary, Canada. – 2000. https://www.researchgate.net/publication/313743175_On_longitudinal_propagation_of_a_ductile_fracture_in_a_buried_gas_pipeline_numerical_and_experimental_analysis</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Shuai J., Zhang H., Wang Y.G., Dai S.L. Research advance of dynamic crack propagation and arrest techniques for gas transmission pipeline. Journal of the university of petroleum, China. – 2004. – Vol. 28(3). – P. 129–135. [PDF file]. https://www.researchgate.net/publication/287616844_Research_advance_of_dynamic_crack_propagation_and_arrest_techniques_for_gas_transmission_pipeline.</mixed-citation><mixed-citation xml:lang="en">Shuai J., Zhang H., Wang Y.G., Dai S.L. Research advance of dynamic crack propagation and arrest techniques for gas transmission pipeline. Journal of the university of petroleum, China. – 2004. – Vol. 28(3). – P. 129–135. [PDF file]. https://www.researchgate.net/publication/287616844_Research_advance_of_dynamic_crack_propagation_and_arrest_techniques_for_gas_transmission_pipeline.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Nordhagen H.O., Kragset S., Berstad T., Morin A., Dørum S.T. A new coupled fluid–structure modeling methodology for running ductile fracture // Computers &amp; Structures. – 2012. – Vol. 94–95. – P. 13–21. https://doi.org/10.1016/j.compstruc.2012.01.004.</mixed-citation><mixed-citation xml:lang="en">Nordhagen H.O., Kragset S., Berstad T., Morin A., Dørum S.T. A new coupled fluid–structure modeling methodology for running ductile fracture // Computers &amp; Structures. – 2012. – Vol. 94–95. – P. 13–21. https://doi.org/10.1016/j.compstruc.2012.01.004.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Okodi A., Lin M., Yoosef-Ghodsi N., Kainat M., Hassanien S., Adeeb S. Crack propagation and burst pressure of longitudinally cracked pipelines using extended finite element method // International Journal of Pressure Vessels and Piping. – 2020. – Vol. 184. – P. 104115. https://doi.org/10.1016/j.ijpvp.2020.104115.</mixed-citation><mixed-citation xml:lang="en">Okodi A., Lin M., Yoosef-Ghodsi N., Kainat M., Hassanien S., Adeeb S. Crack propagation and burst pressure of longitudinally cracked pipelines using extended finite element method // International Journal of Pressure Vessels and Piping. – 2020. – Vol. 184. – P. 104115. https://doi.org/10.1016/j.ijpvp.2020.104115.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Fries T.P., Belytschko T. The extended/generalised finite element method: an overview of the method and its applications // Int. J. Numer. Methods Eng. – 2010. – Vol. 84. – Issue 3. – P. 253 – 304. https://doi.org/10.1002/nme.2914.</mixed-citation><mixed-citation xml:lang="en">Fries T.P., Belytschko T. The extended/generalised finite element method: an overview of the method and its applications // Int. J. Numer. Methods Eng. – 2010. – Vol. 84. – Issue 3. – P. 253 – 304. https://doi.org/10.1002/nme.2914.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Melenk J.M., Babuska I. The Partition of Unity Finite Element Method: Basic Theory and Applications // Computer methods in Applied Mechanics and Engineering. – 1996. – Vol. 139. – P. 289–314. [PDF file]. https://doi.org/10.1016/S0045-7825(96)01087-0.</mixed-citation><mixed-citation xml:lang="en">Melenk J.M., Babuska I. The Partition of Unity Finite Element Method: Basic Theory and Applications // Computer methods in Applied Mechanics and Engineering. – 1996. – Vol. 139. – P. 289–314. [PDF file]. https://doi.org/10.1016/S0045-7825(96)01087-0.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Moes N., Dolbow J., Belytschko T. A finite element method for crack growth without remeshing // Int. J. Numer. Methods Eng. – 1999. – Vol. 46. – P. 131–150. https://doi.org/10.1002/(SICI)1097-0207(19990910)46:13.0.CO;2-J.</mixed-citation><mixed-citation xml:lang="en">Moes N., Dolbow J., Belytschko T. A finite element method for crack growth without remeshing // Int. J. Numer. Methods Eng. – 1999. – Vol. 46. – P. 131–150. https://doi.org/10.1002/(SICI)1097-0207(19990910)46:13.0.CO;2-J.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Yan Z., Zhang S., Zhou W. Model error assessment of burst capacity models for energy pipelines containing surface cracks. International Journal of Pressure Vessels and Piping. – 2014. – P. 80–93. [PDF file]. https://www.academia.edu/29425274/Model_error_assessment_of_burst_capacity_models_for_energy_pipelines_containing_surface_cracks.</mixed-citation><mixed-citation xml:lang="en">Yan Z., Zhang S., Zhou W. Model error assessment of burst capacity models for energy pipelines containing surface cracks. International Journal of Pressure Vessels and Piping. – 2014. – P. 80–93. [PDF file]. https://www.academia.edu/29425274/Model_error_assessment_of_burst_capacity_models_for_energy_pipelines_containing_surface_cracks.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Zhu X.K. Review of fracture control technology for gas transmission pipelines. Proceedings of the 10th International Pipeline Conference. https://doi.org/10.1115/IPC2014-33121</mixed-citation><mixed-citation xml:lang="en">Zhu X.K. Review of fracture control technology for gas transmission pipelines. Proceedings of the 10th International Pipeline Conference. https://doi.org/10.1115/IPC2014-33121</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Di Biagio M., Demofonti G., Mannucci G., Iob F., Spinelli C.M., Schmidt T. Development of a reliable model for evaluating the ductile fracture propagation resistance for high grade steel pipelines. Proceedings of the 2012 9th International Pipeline Conference, IPC2012, September 24-28, Calgary, Alberta, Canada. – 2012. https://doi.org/10.1115/IPC2012-90614.</mixed-citation><mixed-citation xml:lang="en">Di Biagio M., Demofonti G., Mannucci G., Iob F., Spinelli C.M., Schmidt T. Development of a reliable model for evaluating the ductile fracture propagation resistance for high grade steel pipelines. Proceedings of the 2012 9th International Pipeline Conference, IPC2012, September 24-28, Calgary, Alberta, Canada. – 2012. https://doi.org/10.1115/IPC2012-90614.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Yang X.B., Zhuang Z., You X.C., Feng Y.R., Huo C.Y., Zhuang C.J. Dynamic fracture study by an experiment/simulation method for rich gas transmission X80 steel pipelines. Engineering Fracture Mechanics. – 2008. – Vol. 75. – P. 5018–5028. https://doi.org/10.1016/j.engfracmech.2008.06.032.</mixed-citation><mixed-citation xml:lang="en">Yang X.B., Zhuang Z., You X.C., Feng Y.R., Huo C.Y., Zhuang C.J. Dynamic fracture study by an experiment/simulation method for rich gas transmission X80 steel pipelines. Engineering Fracture Mechanics. – 2008. – Vol. 75. – P. 5018–5028. https://doi.org/10.1016/j.engfracmech.2008.06.032.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Berstad T., Dorum C., Jakoben J.P., Kragset S., Li H. et.al. CO2 pipeline interity: A new evalution methodology / Energy Procedia. – 2010. – Vol. 4. – P. 3000–3007. https://doi.org/10.1016/j.egypro.2011.02.210</mixed-citation><mixed-citation xml:lang="en">Berstad T., Dorum C., Jakoben J.P., Kragset S., Li H. et.al. CO2 pipeline interity: A new evalution methodology / Energy Procedia. – 2010. – Vol. 4. – P. 3000–3007. https://doi.org/10.1016/j.egypro.2011.02.210</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Zhuang Z., O’donoghue P.E. The recent development of analysis methodology for rapid crack propagation and arrest in gas pipelines // International Journal of Fracture. – 2000. – Vol. 101. – P. 269–290. https://doi.org/10.1023/A:1007614308834</mixed-citation><mixed-citation xml:lang="en">Zhuang Z., O’donoghue P.E. The recent development of analysis methodology for rapid crack propagation and arrest in gas pipelines // International Journal of Fracture. – 2000. – Vol. 101. – P. 269–290. https://doi.org/10.1023/A:1007614308834</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Zhangabay N. et al. Factor affecting extended avalanche destructions on long-distance gas pipe lines: Review / Case Studies in Construction Materials. – 2023. – Vol. 19. – P. e02376. https://doi.org/10.1016/j.cscm.2023.e02376.</mixed-citation><mixed-citation xml:lang="en">Zhangabay N. et al. Factor affecting extended avalanche destructions on long-distance gas pipe lines: Review / Case Studies in Construction Materials. – 2023. – Vol. 19. – P. e02376. https://doi.org/10.1016/j.cscm.2023.e02376.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Fengping Y., Chunyong H., Jinheng L., He L.I., Yang L.I. Crack Propagation and Arrest Simulation of X90 Gas Pipe // International Journal of Pressure Vessels and Piping. – 2017. – Vol. 149. – P. 120–131. https://doi.org/10.1016/j.ijpvp.2016.12.005.</mixed-citation><mixed-citation xml:lang="en">Fengping Y., Chunyong H., Jinheng L., He L.I., Yang L.I. Crack Propagation and Arrest Simulation of X90 Gas Pipe // International Journal of Pressure Vessels and Piping. – 2017. – Vol. 149. – P. 120–131. https://doi.org/10.1016/j.ijpvp.2016.12.005.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Makino H., Sugie T., Watanabe H., Kubo T., Shiwaku, T., End, S. Inoue T., Kawaguchi, Y., Matsumoto Y., Machida S. Natural Gas Decompression Behavior in High Pressure Pipelines. ISIJ International. – 2001. – Vol. 4. – P. 389–395. https://doi.org/10.2355/isijinternational.41.389.</mixed-citation><mixed-citation xml:lang="en">Makino H., Sugie T., Watanabe H., Kubo T., Shiwaku, T., End, S. Inoue T., Kawaguchi, Y., Matsumoto Y., Machida S. Natural Gas Decompression Behavior in High Pressure Pipelines. ISIJ International. – 2001. – Vol. 4. – P. 389–395. https://doi.org/10.2355/isijinternational.41.389.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">ANSYS Learning–Thermal Convection in Heat Transfer–Assess Mode. Available online: https://courses.ansys.com/index.php/courses/thermal-convection-in-heat-transfer/</mixed-citation><mixed-citation xml:lang="en">ANSYS Learning–Thermal Convection in Heat Transfer–Assess Mode. Available online: https://courses.ansys.com/index.php/courses/thermal-convection-in-heat-transfer/</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Jingshan T., Guanghua G., Yuping L. Chemical engineering thermodynamics. Beijing: Tsinghua University Press. – 1995. https://chemicalpdf.com/category/chemical-engineering-thermodynamics/.</mixed-citation><mixed-citation xml:lang="en">Jingshan T., Guanghua G., Yuping L. Chemical engineering thermodynamics. Beijing: Tsinghua University Press. – 1995. https://chemicalpdf.com/category/chemical-engineering-thermodynamics/.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Starling K. Fluid thermodynamic properties for light petroleum system. Houston. Gulf Publishing Company. – 1973. [Cited November 25, 2023]. https://books.google.ru/books/about/Fluid_Thermodynamic_ Properties_for_Light.html?hl=ru&amp;id=YXMvAQAAIAAJ&amp;redir_esc=y.</mixed-citation><mixed-citation xml:lang="en">Starling K. Fluid thermodynamic properties for light petroleum system. Houston. Gulf Publishing Company. – 1973. [Cited November 25, 2023]. https://books.google.ru/books/about/Fluid_Thermodynamic_ Properties_for_Light.html?hl=ru&amp;id=YXMvAQAAIAAJ&amp;redir_esc=y.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Oikonomidis F., Shterenlikht A., Truman C.E. Prediction of crack propagation and arrest in X100 natural gas transmission pipelines with a strain rate dependent damage model (SRDD). Part 2: Large scale pipe models with gas depressurization // International Journal of Pressure Vessels and Piping. – 2014. – Vol.105. – P. 60–68. https://doi.org/10.1016/j.ijpvp.2013.03.003</mixed-citation><mixed-citation xml:lang="en">Oikonomidis F., Shterenlikht A., Truman C.E. Prediction of crack propagation and arrest in X100 natural gas transmission pipelines with a strain rate dependent damage model (SRDD). Part 2: Large scale pipe models with gas depressurization // International Journal of Pressure Vessels and Piping. – 2014. – Vol.105. – P. 60–68. https://doi.org/10.1016/j.ijpvp.2013.03.003</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Kiefner J.F., Maxey W.A., Eiber R.J., Duffy A.R. Failure Stress Levels of Flaws in Pressurized Cylinders. American Society of Testing and Materials Report. – 1973. – P. 536, 461–481. https://doi.org/10.1520/STP49657S.</mixed-citation><mixed-citation xml:lang="en">Kiefner J.F., Maxey W.A., Eiber R.J., Duffy A.R. Failure Stress Levels of Flaws in Pressurized Cylinders. American Society of Testing and Materials Report. – 1973. – P. 536, 461–481. https://doi.org/10.1520/STP49657S.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang X., Lin M., Okodi A., Tan L., Leung J.Y. &amp; Adeeb S. Numerical Analysis of API 5 L X42 and X52 Vintage Pipes With Cracks in Corrosion Defects Using Extended Finite Element Method // Journal of Pressure Vessel Technology. – 2021. – Vol. 143(6). – P. 061302. https://doi.org/10.1115/1.4050988</mixed-citation><mixed-citation xml:lang="en">Zhang X., Lin M., Okodi A., Tan L., Leung J.Y. &amp; Adeeb S. Numerical Analysis of API 5 L X42 and X52 Vintage Pipes With Cracks in Corrosion Defects Using Extended Finite Element Method // Journal of Pressure Vessel Technology. – 2021. – Vol. 143(6). – P. 061302. https://doi.org/10.1115/1.4050988</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">ASME Fitness-For-Service, API Recommended Practice 579-1/ASME FFS-1 2007, second ed. The American Society of Mechanical Engineers, New York, USA. – 2007. https://www.yumpu.com/en/document/view/26949457/fitness-for-service/1025.</mixed-citation><mixed-citation xml:lang="en">ASME Fitness-For-Service, API Recommended Practice 579-1/ASME FFS-1 2007, second ed. The American Society of Mechanical Engineers, New York, USA. – 2007. https://www.yumpu.com/en/document/view/26949457/fitness-for-service/1025.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">B.S.I. BS7910. Guide to Methods for Assessing the Acceptability of Flaws in Metallic Structure, British standards institution, London, UK. – 2005. https://www.academia.edu/33758342/Guide_to_methods_for_assessing_the_acceptability_of_flaws_in_metallic_structures.</mixed-citation><mixed-citation xml:lang="en">B.S.I. BS7910. Guide to Methods for Assessing the Acceptability of Flaws in Metallic Structure, British standards institution, London, UK. – 2005. https://www.academia.edu/33758342/Guide_to_methods_for_assessing_the_acceptability_of_flaws_in_metallic_structures.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang Z., Xu J., Nyhus B., Østby E. SENT (single edge notch tension) methodology for pipeline applications, in: Proceedings of the 18th European Conference on Fracture, Dresden, Germany. – 2010. https:// folk.ntnu.no/zhiliang/Zhiliangs-Papers-in-PDF-format/ZZ-C070-2010-ECF18-SENT%20Methodology%20 for%20pipeline%20applications.pdf.</mixed-citation><mixed-citation xml:lang="en">Zhang Z., Xu J., Nyhus B., Østby E. SENT (single edge notch tension) methodology for pipeline applications, in: Proceedings of the 18th European Conference on Fracture, Dresden, Germany. – 2010. https:// folk.ntnu.no/zhiliang/Zhiliangs-Papers-in-PDF-format/ZZ-C070-2010-ECF18-SENT%20Methodology%20 for%20pipeline%20applications.pdf.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Schwalbe K.H., Scheider I., Cornec A. The SIAM Method for Applying Cohesive Models to the Damage Behavior of Engineering Materials and Structures, GKSS 2009/1, ISSN 0344-9629. https://www.hereon.de/imperia/md/content/hzg/zentrale_einrichtungen/bibliothek/berichte/2009/gkss_2009_1.pdf</mixed-citation><mixed-citation xml:lang="en">Schwalbe K.H., Scheider I., Cornec A. The SIAM Method for Applying Cohesive Models to the Damage Behavior of Engineering Materials and Structures, GKSS 2009/1, ISSN 0344-9629. https://www.hereon.de/imperia/md/content/hzg/zentrale_einrichtungen/bibliothek/berichte/2009/gkss_2009_1.pdf</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Li H., Chandra N. Analysis of crack growth and crack-tip plasticity in ductile materials using cohesive zone models // Int. J. Plast. – 2003. – Vol. 19. – 849–882. [Cited November 25, 2023] URL: https://researchwith.njit.edu/en/publications/analysis-of-crack-growth-and-crack-tip-plasticity-in-ductile-mate.</mixed-citation><mixed-citation xml:lang="en">Li H., Chandra N. Analysis of crack growth and crack-tip plasticity in ductile materials using cohesive zone models // Int. J. Plast. – 2003. – Vol. 19. – 849–882. [Cited November 25, 2023] URL: https://researchwith.njit.edu/en/publications/analysis-of-crack-growth-and-crack-tip-plasticity-in-ductile-mate.</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Hallquist J.O. LS-DYNA Theory manual. Livermore Software Technology Corporation (LSTC), Livermore, California 94551. – 2006. – P. 680 [Cited November 25, 2023] URL: https://www.academia.edu/23076592/LS_DYNA_Theory_Manual_LIVERMORE_SOFTWARE_TECHNOLOGY_CORPORATION_LSTC</mixed-citation><mixed-citation xml:lang="en">Hallquist J.O. LS-DYNA Theory manual. Livermore Software Technology Corporation (LSTC), Livermore, California 94551. – 2006. – P. 680 [Cited November 25, 2023] URL: https://www.academia.edu/23076592/LS_DYNA_Theory_Manual_LIVERMORE_SOFTWARE_TECHNOLOGY_CORPORATION_LSTC</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>
