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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">zldm</journal-id><journal-title-group><journal-title xml:lang="ru">Заводская лаборатория. Диагностика материалов</journal-title><trans-title-group xml:lang="en"><trans-title>Industrial laboratory. Diagnostics of materials</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1028-6861</issn><issn pub-type="epub">2588-0187</issn><publisher><publisher-name>ООО «Издательство «ТЕСТ-ЗЛ»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26896/1028-6861-2025-91-5-67-76</article-id><article-id custom-type="elpub" pub-id-type="custom">zldm-2496</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>МЕХАНИКА МАТЕРИАЛА: ПРОЧНОСТЬ, РЕСУРС, БЕЗОПАСНОСТЬ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATERIALS MECHANICS: STRENGTH, DURABILITY, SAFETY</subject></subj-group></article-categories><title-group><article-title>Исследование возможностей метода инструментального индентирования для определения механических свойств полиэтилена</article-title><trans-title-group xml:lang="en"><trans-title>A study of applicability of instrumented indentation method to determine the mechanical properties of thermoplastic</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Виноградова</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Vinogradova</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Анна Александровна Виноградова</p><p>199106, г. Санкт-Петербург, 21-я линия В.О., д. 2</p></bio><bio xml:lang="en"><p>Anna A. Vinogradova</p><p>2, 21st Line V.O., St. Petersburg, 199106</p></bio><email xlink:type="simple">shchiptsova.katya@yandex.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>Гоголинский</surname><given-names>К. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Gogolinskiy</surname><given-names>K. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кирилл Валерьевич Гоголинский</p><p>188300, Ленинградская обл., г. Гатчина, мкр. Орлова роща, д. 1</p></bio><bio xml:lang="en"><p>Kirill V. Gogolinskiy</p><p>1, mkr. Orlova roshcha, Gatchina, Leningradskaya oblast’, 188300</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Щипцова</surname><given-names>Е. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Shchiptsova</surname><given-names>E. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Екатерина Константиновна Щипцова</p><p>199106, г. Санкт-Петербург, 21-я линия В.О., д. 2</p></bio><bio xml:lang="en"><p>Ekaterina K. Shchiptsova</p><p>2, 21st Line V.O., St. Petersburg, 199106</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Санкт-Петербургский горный университет императрицы Екатерины II</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Empress Catherine II St. Petersburg Mining University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>НИЦ «Курчатовский институт» — ПИЯФ</institution><country>Россия</country></aff><aff xml:lang="en"><institution>St. Petersburg Nuclear Physics Institute</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>27</day><month>05</month><year>2025</year></pub-date><volume>91</volume><issue>5</issue><fpage>67</fpage><lpage>76</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Виноградова А.А., Гоголинский К.В., Щипцова Е.К., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Виноградова А.А., Гоголинский К.В., Щипцова Е.К.</copyright-holder><copyright-holder xml:lang="en">Vinogradova A.A., Gogolinskiy K.V., Shchiptsova E.K.</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.zldm.ru/jour/article/view/2496">https://www.zldm.ru/jour/article/view/2496</self-uri><abstract><p>Рассмотрен метод инструментального индентирования как эффективный инструмент для изучения механических свойств полиэтиленов. С помощью данного метода можно определить такие свойства материалов, как твердость, модуль упругости и реологические характеристики. Приведены примеры использования метода инструментального индентирования для изучения свойств различных видов полимерных материалов, описаны параметры, которые влияют на результаты измерений. Экспериментально исследованы возможности метода на примере определения характеристик полиэтилена высокой плотности, который используется при производстве газовых трубопроводов. Результаты подтвердили применимость данного метода при изучении свойств полиэтиленовых (ПЭ) труб газопроводов для диагностирования их технического состояния. Исследованы образцы труб, длительное время находящихся в эксплуатации, а также образец новой трубы. Выявлено, что у образцов полиэтилена разного срока эксплуатации значения твердости как показателя сопротивления пластической деформации при статических нагрузках достаточно близки, в то время как реологические свойства существенно отличаются. Эту особенность необходимо принимать во внимание при проведении различных механических испытаний, поскольку скорость увеличения нагрузки в ходе таких испытаний будет существенно влиять на их результаты. Установлено, что значения твердости и модуля упругости уменьшаются с увеличением времени выдержки индентора под нагрузкой из-за релаксации напряжений в деформированной области под индентором. Рассмотрено влияние структуры полиэтилена на его механические свойства. Также выявлено, что модуль упругости образцов полиэтилена кратно возрастает при изменении степени кристалличности от 48 до 56 %. Проведенная работа показала перспективность и эффективность использования метода инструментального индентирования для анализа упругопластических и реологических свойств полиэтиленов, а также их связи с кристаллической структурой.</p></abstract><trans-abstract xml:lang="en"><p>The article deals with the method of instrumental indentation as an effective tool for studying the mechanical properties of thermoplastics. The method allows to determine such material properties as hardness, modulus of elasticity, rheological characteristics. The paper presents a review of examples of using the method of instrumental indentation to solve research problems in studying the properties of various types of polymeric materials, describing the parameters that affect the results of measurements. Analyses and experimental studies of the method’s capabilities were carried out on the example of high-density polyethylene, which is used in the production of gas pipelines. The results showed the applicability of this method in studying the material properties of polyethylene (PE) gas pipeline pipes for diagnosing their technical condition. In this work, samples that have been in service for a long time and a sample of new pipe were investigated. It has been revealed that the hardness values of polyethylene samples of different service life as an indicator of resistance to plastic deformation under static loads are quite close, while the rheological properties differ significantly. This peculiarity should be taken into account when conducting various mechanical tests, since the rate of load increase during such tests will significantly affect their results. It was found that the values of hardness and modulus of elasticity decrease with increasing indenter dwell time under load due to stress relaxation in the deformed region under the indenter. The influence of polyethylene structure on its mechanical properties is considered. It is also revealed that the modulus of elasticity of polyethylene samples multiply increases when the degree of crystallinity changes from 48 to 56%. The article describes the prospectivity and efficiency of using the method of instrumental indentation to analyse the elastic-plastic and rheological properties of thermoplastics, as well as their relationship with the crystal structure.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>инструментальное индентирование</kwd><kwd>пластики</kwd><kwd>полиэтилен</kwd><kwd>пластиковые трубы</kwd><kwd>модуль упругости</kwd><kwd>степень кристалличности</kwd></kwd-group><kwd-group xml:lang="en"><kwd>indentation</kwd><kwd>plastics</kwd><kwd>polyethylene</kwd><kwd>plastic pipes</kwd><kwd>modulus of elasticity</kwd><kwd>degree of crystallinity</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">Oreshko E. I., Utkin D. A., Erasov V. S., Lyakhov A. A. Methods of measurement of hardness of materials (review) / Tr. VIAM. Élektron. Nauch.-Tekhn. Zh. 2020. Vol. 1(85). P. 101 – 117 [in Russian]. DOI: 10.18577/2307-6046-2020-0-1-101-117</mixed-citation><mixed-citation xml:lang="en">Oreshko E. I., Utkin D. A., Erasov V. S., Lyakhov A. A. Methods of measurement of hardness of materials (review) / Tr. VIAM. Élektron. Nauch.-Tekhn. Zh. 2020. Vol. 1(85). P. 101 – 117 [in Russian]. DOI: 10.18577/2307-6046-2020-0-1-101-117</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Gromyka D. S., Gogolinskiy K. V. Introduction of evaluation procedure of excavator bucket teeth into maintenance and repair: Prompts / MIAB. Mining Inf. Anal. Bull. 2023. Vol. 8. P. 94 – 111 [in Russ]. DOI: 10.25018/0236_1493_2023_8_0_94</mixed-citation><mixed-citation xml:lang="en">Gromyka D. S., Gogolinskiy K. V. Introduction of evaluation procedure of excavator bucket teeth into maintenance and repair: Prompts / MIAB. Mining Inf. Anal. Bull. 2023. Vol. 8. P. 94 – 111 [in Russ]. DOI: 10.25018/0236_1493_2023_8_0_94</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Shemyakin S. A., Shishkin E. A. Physical and mathematical model of rock destruction by a milling machine cutter / Journal of Mining Institute. 2021. Vol. 251. P. 639 – 647. DOI: 10.31897/pmi.2021.5.3</mixed-citation><mixed-citation xml:lang="en">Shemyakin S. A., Shishkin E. A. Physical and mathematical model of rock destruction by a milling machine cutter / Journal of Mining Institute. 2021. Vol. 251. P. 639 – 647. DOI: 10.31897/pmi.2021.5.3</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Fischer-Cripps A. C. Nanoindentation. — New York: Springer, January, 2011. — 282 p. DOI: 10.1007/978-1-4419-9872-9</mixed-citation><mixed-citation xml:lang="en">Fischer-Cripps A. C. Nanoindentation. — New York: Springer, January, 2011. — 282 p. DOI: 10.1007/978-1-4419-9872-9</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Matyunin V. M., Marchenkov A. Yu., Volkov P. V. Determination of the Conventional Yield Stress of Metal from the Kinetic Spherical Indentation Test Diagram / Industr. Lab. Mater. Diagn. 2017. Vol. 83. No. 6. P. 57 – 61 [in Russian].</mixed-citation><mixed-citation xml:lang="en">Matyunin V. M., Marchenkov A. Yu., Volkov P. V. Determination of the Conventional Yield Stress of Metal from the Kinetic Spherical Indentation Test Diagram / Industr. Lab. Mater. Diagn. 2017. Vol. 83. No. 6. P. 57 – 61 [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Vorob’ev R. A., Litovchenko V. N., Dubinskii V. N. Study of the Hardness and Modulus of Elasticity of Ferrite using Kinetic Indentation Method / Industr. Lab. Mater. Diagn. 2016. Vol. 82. No. 5. P. 55 – 60 [in Russian].</mixed-citation><mixed-citation xml:lang="en">Vorob’ev R. A., Litovchenko V. N., Dubinskii V. N. Study of the Hardness and Modulus of Elasticity of Ferrite using Kinetic Indentation Method / Industr. Lab. Mater. Diagn. 2016. Vol. 82. No. 5. P. 55 – 60 [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Kanaev A. T., Ramazanova Z. M., Biizhanov S. K. Study of plasma-hardened wheel steel using nanoindentation / Industr. Lab. Mater. Diagn. 2020. Vol. 86. No. 4. P. 56 – 60 [in Russian]. DOI: 10.26896/1028-6861-2020-86-4-56-60</mixed-citation><mixed-citation xml:lang="en">Kanaev A. T., Ramazanova Z. M., Biizhanov S. K. Study of plasma-hardened wheel steel using nanoindentation / Industr. Lab. Mater. Diagn. 2020. Vol. 86. No. 4. P. 56 – 60 [in Russian]. DOI: 10.26896/1028-6861-2020-86-4-56-60</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Long X., Dong R., Su Y., Chang C. Critical Review of Nanoindentation-Based Numerical Methods for Evaluating Elastoplastic Material Properties / Coatings. 2023. Vol. 13(8). 1334. DOI: 10.3390/coatings13081334</mixed-citation><mixed-citation xml:lang="en">Long X., Dong R., Su Y., Chang C. Critical Review of Nanoindentation-Based Numerical Methods for Evaluating Elastoplastic Material Properties / Coatings. 2023. Vol. 13(8). 1334. DOI: 10.3390/coatings13081334</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Bulychev S. I., Alekhin V. P. Kinetic hardness and microhardness method in indentation testing / Industr. Lab. 1987. Vol. 53. P. 76 – 80.</mixed-citation><mixed-citation xml:lang="en">Bulychev S. I., Alekhin V. P. Kinetic hardness and microhardness method in indentation testing / Industr. Lab. 1987. Vol. 53. P. 76 – 80.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Oliver W. C., Pharr G. M. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments / J. Mater. Res. 1992. Vol. 7(6). P. 1564 – 1583.</mixed-citation><mixed-citation xml:lang="en">Oliver W. C., Pharr G. M. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments / J. Mater. Res. 1992. Vol. 7(6). P. 1564 – 1583.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Oliver W. C., Pharr G. M. Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology / Journal of Materials Research. 2004. Vol. 19. P. 3 – 20. DOI: 10.1557/jmr.2004.19.1.3</mixed-citation><mixed-citation xml:lang="en">Oliver W. C., Pharr G. M. Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology / Journal of Materials Research. 2004. Vol. 19. P. 3 – 20. DOI: 10.1557/jmr.2004.19.1.3</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Arora G., Pathak H. Nanoindentation characterization of polymer nanocomposites for elastic and viscoelastic properties: Experimental and mathematical approach / Composites Part C: Open Access. 2021. Vol. 4. 100103. DOI: 10.1016/j.jcomc.2020.100103</mixed-citation><mixed-citation xml:lang="en">Arora G., Pathak H. Nanoindentation characterization of polymer nanocomposites for elastic and viscoelastic properties: Experimental and mathematical approach / Composites Part C: Open Access. 2021. Vol. 4. 100103. DOI: 10.1016/j.jcomc.2020.100103</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Torskaya E. V., Yakovenko A. A., Shkaley I. V., Svistkov A. L. An indentation study of the temperature-dependent properties of modified polyurethanes / Fiz. Mezomekh. 2023. Vol. 26(3). P. 29 – 38. DOI: 10.55652/1683-805x_2023_26_3_29</mixed-citation><mixed-citation xml:lang="en">Torskaya E. V., Yakovenko A. A., Shkaley I. V., Svistkov A. L. An indentation study of the temperature-dependent properties of modified polyurethanes / Fiz. Mezomekh. 2023. Vol. 26(3). P. 29 – 38. DOI: 10.55652/1683-805x_2023_26_3_29</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Hardiman M., Vaughan T. J., McCarthy C. T. A review of key developments and pertinent issues in nanoindentation testing of fibre reinforced plastic microstructures / Composite Structures. 2017. Vol. 180. P. 782 – 798. DOI: 10.1016/j.compstruct.2017.08.004</mixed-citation><mixed-citation xml:lang="en">Hardiman M., Vaughan T. J., McCarthy C. T. A review of key developments and pertinent issues in nanoindentation testing of fibre reinforced plastic microstructures / Composite Structures. 2017. Vol. 180. P. 782 – 798. DOI: 10.1016/j.compstruct.2017.08.004</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Maxwell A. S., Monclus M. A., Jennett N. M., Dean G. Accelerated testing of creep in polymeric materials using nanoindentation / Polymer Testing. 2011. Vol. 30(4). P. 366 – 371. DOI: 10.1016/j.polymertesting.2011.02.002</mixed-citation><mixed-citation xml:lang="en">Maxwell A. S., Monclus M. A., Jennett N. M., Dean G. Accelerated testing of creep in polymeric materials using nanoindentation / Polymer Testing. 2011. Vol. 30(4). P. 366 – 371. DOI: 10.1016/j.polymertesting.2011.02.002</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Christöfl P., Czibula C., Seidlhofer T., et al. Morphological characterization of semi-crystalline POM using nanoindentation / International Journal of Polymer Analysis and Characterization. 2021. Vol. 26(8). P. 692 – 706. DOI: 10.1080/1023666x.2021.1968122</mixed-citation><mixed-citation xml:lang="en">Christöfl P., Czibula C., Seidlhofer T., et al. Morphological characterization of semi-crystalline POM using nanoindentation / International Journal of Polymer Analysis and Characterization. 2021. Vol. 26(8). P. 692 – 706. DOI: 10.1080/1023666x.2021.1968122</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Schieppati J., Gehling T., Azevedo M., et al. Investigation into the state of cure of elastomers through nanoindentation / Polymer Testing. 2024. Vol. 133. DOI: 10.1016/j.polymertesting.2024.108417</mixed-citation><mixed-citation xml:lang="en">Schieppati J., Gehling T., Azevedo M., et al. Investigation into the state of cure of elastomers through nanoindentation / Polymer Testing. 2024. Vol. 133. DOI: 10.1016/j.polymertesting.2024.108417</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Christöfl P., Ottersböck B., Czibula C., et al. Nanoindentation for Fast Investigation of PET Film Degradation / JOM. 2022. Vol 74(6). P. 2287 – 2294. DOI: 10.1007/s11837-022-05278-0</mixed-citation><mixed-citation xml:lang="en">Christöfl P., Ottersböck B., Czibula C., et al. Nanoindentation for Fast Investigation of PET Film Degradation / JOM. 2022. Vol 74(6). P. 2287 – 2294. DOI: 10.1007/s11837-022-05278-0</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Christöfl P., Czibula C., Berer M., et al. Comprehensive investigation of the viscoelastic properties of PMMA by nanoindentation / Polymer Testing. 2021. Vol. 93. DOI: 10.1016/j.polymertesting.2020.106978</mixed-citation><mixed-citation xml:lang="en">Christöfl P., Czibula C., Berer M., et al. Comprehensive investigation of the viscoelastic properties of PMMA by nanoindentation / Polymer Testing. 2021. Vol. 93. DOI: 10.1016/j.polymertesting.2020.106978</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Zhao Y., Li H., Zhang Z., et al. Nanoindentation study of time-dependent mechanical properties of ultra-high-molecular-weight polyethylene (UHMWPE) at different temperatures / Polymer Testing. 2020. Vol. 91. DOI: 10.1016/j.polymertesting.2020.106787</mixed-citation><mixed-citation xml:lang="en">Zhao Y., Li H., Zhang Z., et al. Nanoindentation study of time-dependent mechanical properties of ultra-high-molecular-weight polyethylene (UHMWPE) at different temperatures / Polymer Testing. 2020. Vol. 91. DOI: 10.1016/j.polymertesting.2020.106787</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Alghamdi A. S., Ashcroft I. A., Song M. Mechanical characterisation of novel polyethylene nanocomposites by nanoindentation / WIT Transactions on Engineering Sciences. 2013. Vol. 77. P. 89 – 100. DOI: 10.2495/mc130081</mixed-citation><mixed-citation xml:lang="en">Alghamdi A. S., Ashcroft I. A., Song M. Mechanical characterisation of novel polyethylene nanocomposites by nanoindentation / WIT Transactions on Engineering Sciences. 2013. Vol. 77. P. 89 – 100. DOI: 10.2495/mc130081</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Banerjee T., Kar S. Nanoindentation of Reinforced Polymer Composites / Encyclopedia of Materials: Plastics and Polymers. 2022. P. 688 – 699. DOI: 10.1016/b978-0-12-820352-1.00281</mixed-citation><mixed-citation xml:lang="en">Banerjee T., Kar S. Nanoindentation of Reinforced Polymer Composites / Encyclopedia of Materials: Plastics and Polymers. 2022. P. 688 – 699. DOI: 10.1016/b978-0-12-820352-1.00281</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Poulose A. M., Elnour A. Y., Samad U. A., et al. Nano-indentation as a tool for evaluating the rheological threshold in polymer composites / Polymer Testing. 2019. Vol. 80. DOI: 10.1016/j.polymertesting.2019.106150</mixed-citation><mixed-citation xml:lang="en">Poulose A. M., Elnour A. Y., Samad U. A., et al. Nano-indentation as a tool for evaluating the rheological threshold in polymer composites / Polymer Testing. 2019. Vol. 80. DOI: 10.1016/j.polymertesting.2019.106150</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Briscoe B. J., Fiori L., Pelillo E. Nano-indentation of polymeric surfaces. / J. Phys. D: Appl. Phys. 1998. Vol. 31(19). P. 2395 – 2405. DOI: 10.1088/0022-3727/31/19/006</mixed-citation><mixed-citation xml:lang="en">Briscoe B. J., Fiori L., Pelillo E. Nano-indentation of polymeric surfaces. / J. Phys. D: Appl. Phys. 1998. Vol. 31(19). P. 2395 – 2405. DOI: 10.1088/0022-3727/31/19/006</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Wang Y., Shang L., Zhang P., et al. Measurement of viscoelastic properties for polymers by nanoindentation / Polymer Testing. 2020. Vol. 83. DOI: 10.1016/j.polymertesting.2020.106353</mixed-citation><mixed-citation xml:lang="en">Wang Y., Shang L., Zhang P., et al. Measurement of viscoelastic properties for polymers by nanoindentation / Polymer Testing. 2020. Vol. 83. DOI: 10.1016/j.polymertesting.2020.106353</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Kumar A., Nayak S. K., Banerjee A., Laha T. Multi-scale indentation creep behavior in Fe-based amorphous/nanocrystalline coating at room temperature / Materials Letters. 2021. Vol. 283. DOI: 10.1016/j.matlet.2020.128768</mixed-citation><mixed-citation xml:lang="en">Kumar A., Nayak S. K., Banerjee A., Laha T. Multi-scale indentation creep behavior in Fe-based amorphous/nanocrystalline coating at room temperature / Materials Letters. 2021. Vol. 283. DOI: 10.1016/j.matlet.2020.128768</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Zha S., Lan H.-Q., Lin N., et al. Investigating the time- and space-dependent mechanical, physical and chemical properties of aged polyethylene gas pipes using nanoindentation tests / Journal of Materials Research and Technology. 2023. Vol. 24. P. 3383 – 3398. DOI: 10.1016/j.jmrt.2023.04.004</mixed-citation><mixed-citation xml:lang="en">Zha S., Lan H.-Q., Lin N., et al. Investigating the time- and space-dependent mechanical, physical and chemical properties of aged polyethylene gas pipes using nanoindentation tests / Journal of Materials Research and Technology. 2023. Vol. 24. P. 3383 – 3398. DOI: 10.1016/j.jmrt.2023.04.004</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Byrne N., Ghanei S., Espinosa S. M., Neave M. Influence of Hydrogen on Vintage Polyethylene Pipes: Slow Crack Growth Performance and Material Properties / International Journal of Energy Research. 2023. Vol. 2023. DOI: 10.1155/2023/6056999</mixed-citation><mixed-citation xml:lang="en">Byrne N., Ghanei S., Espinosa S. M., Neave M. Influence of Hydrogen on Vintage Polyethylene Pipes: Slow Crack Growth Performance and Material Properties / International Journal of Energy Research. 2023. Vol. 2023. DOI: 10.1155/2023/6056999</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Prochazkova Z., Kralik V., Nemecek J., Sejnoha M. Recycled plastic material properties defined by nanoindentation / Advanced Materials Letters. 2016. Vol. 7(1). P. 78 – 82. DOI: 10.5185/amlett.2016.6170</mixed-citation><mixed-citation xml:lang="en">Prochazkova Z., Kralik V., Nemecek J., Sejnoha M. Recycled plastic material properties defined by nanoindentation / Advanced Materials Letters. 2016. Vol. 7(1). P. 78 – 82. DOI: 10.5185/amlett.2016.6170</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Shaheer M., Troughton M., Khamsehnezhad A., Song J. A study of the micro-mechanical properties of butt fusion-welded joints in HDPE pipes using the nanoindentation technique / Welding in the World. 2017. Vol. 61(4). P. 819 – 831. DOI: 10.1007/s40194-017-0454-9</mixed-citation><mixed-citation xml:lang="en">Shaheer M., Troughton M., Khamsehnezhad A., Song J. A study of the micro-mechanical properties of butt fusion-welded joints in HDPE pipes using the nanoindentation technique / Welding in the World. 2017. Vol. 61(4). P. 819 – 831. DOI: 10.1007/s40194-017-0454-9</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Nishimori F., Ikeshima D., Kanamori K., et al. Characterization of the surface degraded layer of polymers using an indentation method / Materials Today Communications. 2021. Vol. 26. DOI: 10.1016/j.mtcomm.2020.101873</mixed-citation><mixed-citation xml:lang="en">Nishimori F., Ikeshima D., Kanamori K., et al. Characterization of the surface degraded layer of polymers using an indentation method / Materials Today Communications. 2021. Vol. 26. DOI: 10.1016/j.mtcomm.2020.101873</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Pertin T., Minatchy G., Adoue M., et al. Investigation of nanoindentation as a fast characterization tool for polymer degradation study / Polymer Testing. 2020. Vol. 81. DOI: 10.1016/j.polymertesting.2019.106194</mixed-citation><mixed-citation xml:lang="en">Pertin T., Minatchy G., Adoue M., et al. Investigation of nanoindentation as a fast characterization tool for polymer degradation study / Polymer Testing. 2020. Vol. 81. DOI: 10.1016/j.polymertesting.2019.106194</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang X., Zheng Y., Li G. Y., et al. Indentation creep tests to assess the viscoelastic properties of soft materials: Theory, method and experiment / International Journal of Non-Linear Mechanics. 2019. Vol. 109. P. 204 – 212. DOI: 10.1016/j.ijnonlinmec.2018.12.005</mixed-citation><mixed-citation xml:lang="en">Zhang X., Zheng Y., Li G. Y., et al. Indentation creep tests to assess the viscoelastic properties of soft materials: Theory, method and experiment / International Journal of Non-Linear Mechanics. 2019. Vol. 109. P. 204 – 212. DOI: 10.1016/j.ijnonlinmec.2018.12.005</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Amjadi M., Fatemi A. Creep behavior and modeling of high-density polyethylene (HDPE) / Polymer Testing. 2021. Vol. 94. 107031. DOI: 10.1016/j.polymertesting.2020.107031</mixed-citation><mixed-citation xml:lang="en">Amjadi M., Fatemi A. Creep behavior and modeling of high-density polyethylene (HDPE) / Polymer Testing. 2021. Vol. 94. 107031. DOI: 10.1016/j.polymertesting.2020.107031</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Song Z., Komvopoulos K. Elastic-plastic spherical indentation: Deformation regimes, evolution of plasticity, and hardening effect / Mechanics of Materials. 2013. Vol. 61. P. 91 – 100. DOI: 10.1016/j.mechmat.2013.01.003</mixed-citation><mixed-citation xml:lang="en">Song Z., Komvopoulos K. Elastic-plastic spherical indentation: Deformation regimes, evolution of plasticity, and hardening effect / Mechanics of Materials. 2013. Vol. 61. P. 91 – 100. DOI: 10.1016/j.mechmat.2013.01.003</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Cheng L., Xia X., Scriven L. E., Gerberich W. W. Spherical-tip indentation of viscoelastic material / Mechanics of Materials. 2005. Vol. 37(1). P. 213 – 226. DOI: 10.1016/j.mechmat.2004.03.002</mixed-citation><mixed-citation xml:lang="en">Cheng L., Xia X., Scriven L. E., Gerberich W. W. Spherical-tip indentation of viscoelastic material / Mechanics of Materials. 2005. Vol. 37(1). P. 213 – 226. DOI: 10.1016/j.mechmat.2004.03.002</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Jin C., Ebenstein D. M. Nanoindentation of compliant materials using Berkovich tips and flat tips / Journal of Materials Research. 2017. Vol. 32(2). P. 435 – 450. DOI: 10.1557/jmr.2016.483</mixed-citation><mixed-citation xml:lang="en">Jin C., Ebenstein D. M. Nanoindentation of compliant materials using Berkovich tips and flat tips / Journal of Materials Research. 2017. Vol. 32(2). P. 435 – 450. DOI: 10.1557/jmr.2016.483</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Naseem R., Zhao L., Silberschmidt V. V., et al. Characterisation of mechanical properties of polymeric stent using nanoindentation / Procedia Structural Integrity. 2019. Vol. 15. DOI: 10.1016/j.prostr.2019.07.010</mixed-citation><mixed-citation xml:lang="en">Naseem R., Zhao L., Silberschmidt V. V., et al. Characterisation of mechanical properties of polymeric stent using nanoindentation / Procedia Structural Integrity. 2019. Vol. 15. DOI: 10.1016/j.prostr.2019.07.010</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Inoue N., Yonezu A., Watanabe Y., et al. Prediction of viscoplastic properties of polymeric materials using sharp indentation / Computational Materials Science. 2015. Vol. 110. P. 321 – 330. DOI: 10.1016/j.commatsci.2015.08.033</mixed-citation><mixed-citation xml:lang="en">Inoue N., Yonezu A., Watanabe Y., et al. Prediction of viscoplastic properties of polymeric materials using sharp indentation / Computational Materials Science. 2015. Vol. 110. P. 321 – 330. DOI: 10.1016/j.commatsci.2015.08.033</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Korshunov V. A., Pavlovich A. A., Bazhukov A. A. Evaluation of the shear strength of rocks by cracks based on the results of testing samples with spherical indentors / Journal of Mining Institute. 2023. Vol. 262. P. 606 – 618. DOI: 10.31897/pmi.2023.16</mixed-citation><mixed-citation xml:lang="en">Korshunov V. A., Pavlovich A. A., Bazhukov A. A. Evaluation of the shear strength of rocks by cracks based on the results of testing samples with spherical indentors / Journal of Mining Institute. 2023. Vol. 262. P. 606 – 618. DOI: 10.31897/pmi.2023.16</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Van Landingham M. R., Villarrubia J. S., Guthrie W. F., Meyers G. F. Nanoindentation of polymers: An overview / Macromolecular Symposia. 2001. Vol. 167. P. 15 – 43. DOI: 10.1002/1521-3900(200103)167:1 &lt;15::aid-masy15&gt;3.0.co;2-t</mixed-citation><mixed-citation xml:lang="en">Van Landingham M. R., Villarrubia J. S., Guthrie W. F., Meyers G. F. Nanoindentation of polymers: An overview / Macromolecular Symposia. 2001. Vol. 167. P. 15 – 43. DOI: 10.1002/1521-3900(200103)167:1 &lt;15::aid-masy15&gt;3.0.co;2-t</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Oyen M. L. Analytical techniques for indentation of viscoelastic materials / Philosophical Magazine. 2006. Vol. 86 (33 – 35, Spec. Issue). P. 5625 – 5641. DOI: 10.1080/14786430600740666</mixed-citation><mixed-citation xml:lang="en">Oyen M. L. Analytical techniques for indentation of viscoelastic materials / Philosophical Magazine. 2006. Vol. 86 (33 – 35, Spec. Issue). P. 5625 – 5641. DOI: 10.1080/14786430600740666</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Alisafaei F., Han C. S. Indentation depth dependent mechanical behavior in polymers / Advances in Condensed Matter Physics. 2015. Vol. 2015. Hindawi Publishing Corporation. DOI: 10.1155/2015/391579</mixed-citation><mixed-citation xml:lang="en">Alisafaei F., Han C. S. Indentation depth dependent mechanical behavior in polymers / Advances in Condensed Matter Physics. 2015. Vol. 2015. Hindawi Publishing Corporation. DOI: 10.1155/2015/391579</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Chen X., Ogasawara N., Zhao M., Chiba N. On the uniqueness of measuring elastoplastic properties from indentation: The indistinguishable mystical materials / Journal of the Mechanics and Physics of Solids. 2007. Vol. 55(8). P. 1618 – 1660. DOI: 10.1016/j.jmps.2007.01.010</mixed-citation><mixed-citation xml:lang="en">Chen X., Ogasawara N., Zhao M., Chiba N. On the uniqueness of measuring elastoplastic properties from indentation: The indistinguishable mystical materials / Journal of the Mechanics and Physics of Solids. 2007. Vol. 55(8). P. 1618 – 1660. DOI: 10.1016/j.jmps.2007.01.010</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">Briscoe B. J., Sinha S. K. Hardness and Normal Indentation of Polymers / Swallowe G. M., ed. Mechanical Properties and Testing of Polymers. Polymer Science and Technology Series. Vol. 3. — Dordrecht: Springer, 1999. DOI: 10.1007/978-94-015-9231-4 25</mixed-citation><mixed-citation xml:lang="en">Briscoe B. J., Sinha S. K. Hardness and Normal Indentation of Polymers / Swallowe G. M., ed. Mechanical Properties and Testing of Polymers. Polymer Science and Technology Series. Vol. 3. — Dordrecht: Springer, 1999. DOI: 10.1007/978-94-015-9231-4 25</mixed-citation></citation-alternatives></ref><ref id="cit46"><label>46</label><citation-alternatives><mixed-citation xml:lang="ru">Ghomsheh M. Z., Khatibi G. The Activation Energy of Strain Bursts during Nanoindentation Creep on Polyethylene / Materials. 2023. Vol. 16(1). DOI: 10.3390/ma16010143</mixed-citation><mixed-citation xml:lang="en">Ghomsheh M. Z., Khatibi G. The Activation Energy of Strain Bursts during Nanoindentation Creep on Polyethylene / Materials. 2023. Vol. 16(1). DOI: 10.3390/ma16010143</mixed-citation></citation-alternatives></ref><ref id="cit47"><label>47</label><citation-alternatives><mixed-citation xml:lang="ru">Maculotti G., Genta G., Galetto M. An uncertainty-based quality evaluation tool for nanoindentation systems / Measurement: Journal of the International Measurement Confederation. 2024. Vol. 225. DOI: 10.1016/j.measurement.2023.113974</mixed-citation><mixed-citation xml:lang="en">Maculotti G., Genta G., Galetto M. An uncertainty-based quality evaluation tool for nanoindentation systems / Measurement: Journal of the International Measurement Confederation. 2024. Vol. 225. DOI: 10.1016/j.measurement.2023.113974</mixed-citation></citation-alternatives></ref><ref id="cit48"><label>48</label><citation-alternatives><mixed-citation xml:lang="ru">Potapov A. I., Gogolinskiy K. V., Kondratiev A. V., Umanskiy A. S. Indirect assessment of indenter area function for measuring mechanical properties by instrumented indentation / Kontrol’. Diagnostika. 2017. Vol. 2. P. 28 – 32 [in Russian]. DOI: 10.14489/td.2017.02.pp.028-032</mixed-citation><mixed-citation xml:lang="en">Potapov A. I., Gogolinskiy K. V., Kondratiev A. V., Umanskiy A. S. Indirect assessment of indenter area function for measuring mechanical properties by instrumented indentation / Kontrol’. Diagnostika. 2017. Vol. 2. P. 28 – 32 [in Russian]. DOI: 10.14489/td.2017.02.pp.028-032</mixed-citation></citation-alternatives></ref><ref id="cit49"><label>49</label><citation-alternatives><mixed-citation xml:lang="ru">Potapov A. I., Gogolinskiy K. V., Syasko V. A., et al. Methodological and metrological aspects of materials mechanical properties measurements by instrumented indentation / Kontrol’. Diagnostika. 2016. Vol. 8. P. 16 – 21 [in Russian]. DOI: 10.14489/td.2016.08.pp.016-021</mixed-citation><mixed-citation xml:lang="en">Potapov A. I., Gogolinskiy K. V., Syasko V. A., et al. Methodological and metrological aspects of materials mechanical properties measurements by instrumented indentation / Kontrol’. Diagnostika. 2016. Vol. 8. P. 16 – 21 [in Russian]. DOI: 10.14489/td.2016.08.pp.016-021</mixed-citation></citation-alternatives></ref><ref id="cit50"><label>50</label><citation-alternatives><mixed-citation xml:lang="ru">Zemenkova M. Y., Chizhevskaya E. L., Zemenkov Y. D. Intelligent monitoring of the condition of hydrocarbon pipeline transport facilities using neural network technologies / Journal of Mining Institute. 2022. Vol. 258. P. 933 – 944. DOI: 10.31897/pmi.2022.105</mixed-citation><mixed-citation xml:lang="en">Zemenkova M. Y., Chizhevskaya E. L., Zemenkov Y. D. Intelligent monitoring of the condition of hydrocarbon pipeline transport facilities using neural network technologies / Journal of Mining Institute. 2022. Vol. 258. P. 933 – 944. DOI: 10.31897/pmi.2022.105</mixed-citation></citation-alternatives></ref><ref id="cit51"><label>51</label><citation-alternatives><mixed-citation xml:lang="ru">Tcvetkov P. S., Fedoseev S. V. Analysis of project organization specifics in small-scale LNG production / Journal of Mining Institute. 2020. Vol. 246. P. 678 – 686. DOI: 10.31897/pmi.2020.6.10</mixed-citation><mixed-citation xml:lang="en">Tcvetkov P. S., Fedoseev S. V. Analysis of project organization specifics in small-scale LNG production / Journal of Mining Institute. 2020. Vol. 246. P. 678 – 686. DOI: 10.31897/pmi.2020.6.10</mixed-citation></citation-alternatives></ref><ref id="cit52"><label>52</label><citation-alternatives><mixed-citation xml:lang="ru">Gogolinskiy K. V., Vinogradova A. A., Kopylova T. N., et al. Study of physicochemical properties of polyethylene gas pipelines material with a prolonged service life / International Journal of Pressure Vessels and Piping. 2022. Vol. 200. 104825. DOI: 10.1016/j.ijpvp.2022.104825</mixed-citation><mixed-citation xml:lang="en">Gogolinskiy K. V., Vinogradova A. A., Kopylova T. N., et al. Study of physicochemical properties of polyethylene gas pipelines material with a prolonged service life / International Journal of Pressure Vessels and Piping. 2022. Vol. 200. 104825. DOI: 10.1016/j.ijpvp.2022.104825</mixed-citation></citation-alternatives></ref><ref id="cit53"><label>53</label><citation-alternatives><mixed-citation xml:lang="ru">Aleksander G. P., Yifan T., Fuming Z. Predicting Service Life of Polyethylene Pipes under Crack Expansion using «Random Forest» Method / International Journal of Engineering. 2023. Vol. 36(12). P. 2243 – 2252. DOI: 10.5829/ije.2023.36.12c.14</mixed-citation><mixed-citation xml:lang="en">Aleksander G. P., Yifan T., Fuming Z. Predicting Service Life of Polyethylene Pipes under Crack Expansion using «Random Forest» Method / International Journal of Engineering. 2023. Vol. 36(12). P. 2243 – 2252. DOI: 10.5829/ije.2023.36.12c.14</mixed-citation></citation-alternatives></ref><ref id="cit54"><label>54</label><citation-alternatives><mixed-citation xml:lang="ru">Schipachev A., Fetisov V., Nazyrov A., et al. Study of the pipeline in emergency operation and assessing the magnitude of the gas leak / Energies. 2022. Vol. 15(14). DOI: 10.3390/en15145294</mixed-citation><mixed-citation xml:lang="en">Schipachev A., Fetisov V., Nazyrov A., et al. Study of the pipeline in emergency operation and assessing the magnitude of the gas leak / Energies. 2022. Vol. 15(14). DOI: 10.3390/en15145294</mixed-citation></citation-alternatives></ref><ref id="cit55"><label>55</label><citation-alternatives><mixed-citation xml:lang="ru">Fetisov V. G., Shalygin A. V., Modestova S. A., et al. Development of a Numerical Method for Calculating a Gas Supply System during a Period of Change in Thermal Loads / Energies. 2023. Vol. 60(16). P. 1 – 16. DOI: 10.3390/en16010060</mixed-citation><mixed-citation xml:lang="en">Fetisov V. G., Shalygin A. V., Modestova S. A., et al. Development of a Numerical Method for Calculating a Gas Supply System during a Period of Change in Thermal Loads / Energies. 2023. Vol. 60(16). P. 1 – 16. DOI: 10.3390/en16010060</mixed-citation></citation-alternatives></ref><ref id="cit56"><label>56</label><citation-alternatives><mixed-citation xml:lang="ru">Baktizin R. N., Zaripov R. M., Korobkov G. E., Masalimov R. B. Assessment of internal pressure effect, causing additional bending of the pipeline / Journal of Mining Institute. 2020. Vol. 242. P. 160. DOI: 10.31897/pmi.2020.2.160</mixed-citation><mixed-citation xml:lang="en">Baktizin R. N., Zaripov R. M., Korobkov G. E., Masalimov R. B. Assessment of internal pressure effect, causing additional bending of the pipeline / Journal of Mining Institute. 2020. Vol. 242. P. 160. DOI: 10.31897/pmi.2020.2.160</mixed-citation></citation-alternatives></ref><ref id="cit57"><label>57</label><citation-alternatives><mixed-citation xml:lang="ru">Palaev A. G., Fuming Z. A Leak Detection Method for Underground Polyethylene Gas Pipelines Using Simulation Software Ansys Fluent / International Journal of Engineering. 2024. Vol. 37(8). P. 1615 – 1621. DOI: 10.5829/ije.2024.37.08b.14</mixed-citation><mixed-citation xml:lang="en">Palaev A. G., Fuming Z. A Leak Detection Method for Underground Polyethylene Gas Pipelines Using Simulation Software Ansys Fluent / International Journal of Engineering. 2024. Vol. 37(8). P. 1615 – 1621. DOI: 10.5829/ije.2024.37.08b.14</mixed-citation></citation-alternatives></ref><ref id="cit58"><label>58</label><citation-alternatives><mixed-citation xml:lang="ru">Shammazov I. A., Karyakina E. D., Shalygin A. V. Stress-strain state simulation of an underground liquefied natural gas pipeline / Problems of Gathering, Treatment and Transportation of Oil and Oil Products. 2023. Vol. 3(143). P. 77 – 93 [in Russian]. DOI: 10.17122/ntj-oil-2023-3-77-93</mixed-citation><mixed-citation xml:lang="en">Shammazov I. A., Karyakina E. D., Shalygin A. V. Stress-strain state simulation of an underground liquefied natural gas pipeline / Problems of Gathering, Treatment and Transportation of Oil and Oil Products. 2023. Vol. 3(143). P. 77 – 93 [in Russian]. DOI: 10.17122/ntj-oil-2023-3-77-93</mixed-citation></citation-alternatives></ref><ref id="cit59"><label>59</label><citation-alternatives><mixed-citation xml:lang="ru">Zha S., Lan H.-Q., Lin N., Meng T. Degradation and characterization methods for polyethylene gas pipes after natural and accelerated aging / Polymer Degradation and Stability. 2023. Vol. 208. DOI: 10.1016/j.polymdegradstab.2022.110247</mixed-citation><mixed-citation xml:lang="en">Zha S., Lan H.-Q., Lin N., Meng T. Degradation and characterization methods for polyethylene gas pipes after natural and accelerated aging / Polymer Degradation and Stability. 2023. Vol. 208. DOI: 10.1016/j.polymdegradstab.2022.110247</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>
