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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">vsgiu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Сибирского государственного индустриального университета</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of the Siberian State Industrial University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2304 - 4497</issn><issn pub-type="epub">2307-1710</issn><publisher><publisher-name>Федеральное государственное бюджетное образовательное учреждение высшего образования "Сибирский государственный индустриальный университет"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.57070/2304-4497-2025-4(54)-91-102</article-id><article-id custom-type="elpub" pub-id-type="custom">vsgiu-864</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>Раздел 2. Металлургия и материаловедение</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Section 2. Metallurgy and Materials Science</subject></subj-group></article-categories><title-group><article-title>УСТАНОВЛЕНИЕ ВЛИЯНИЯ УМЗ СТРУКТУРЫ В СПЛАВЕ Ti – Nb НА УСТАЛОСТНУЮ ПРОЧНОСТЬ</article-title><trans-title-group xml:lang="en"><trans-title>DETERMINATION OF THE EFFECT OF THE UMP STRUCTURE IN Ti – Nb ALLOY ON FATIGUE STRENGTH</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8812-9287</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ерошенко</surname><given-names>Анна Юрьевна</given-names></name><name name-style="western" xml:lang="en"><surname>Eroshenko</surname><given-names>Anna Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>к.т.н., старший научный сотрудник лаборатории физики наноструктурных биокомпозитов</p></bio><bio xml:lang="en"><p>Cand. Sci. (Eng.), Senior Researcher, Laboratory of Physics of Nanostructured Biocomposites</p></bio><email xlink:type="simple">eroshenko@ispms.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/0000-0001-5557-5950</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Глухов</surname><given-names>Иван Александрович</given-names></name><name name-style="western" xml:lang="en"><surname>Gluhov</surname><given-names>Ivan A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>к.т.н., младший научный сотрудник лаборатории физики наноструктурных биокомпозитов</p></bio><bio xml:lang="en"><p>Cand. Sci. (Eng.), Junior Researcher, Laboratory of Physics of Nanostructured Biocomposites</p></bio><email xlink:type="simple">gia@ispms.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/0000-0003-4669-8478</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Толмачев</surname><given-names>Алексей Иванович</given-names></name><name name-style="western" xml:lang="en"><surname>Tolmachev</surname><given-names>Aleksei I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>главный специалист лаборатории физики наноструктурных биокомпозитов</p></bio><bio xml:lang="en"><p>Chief Specialist of the Laboratory of Physics of Nanostructured Biocomposites</p></bio><email xlink:type="simple">tolmach@ispms.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/0000-0003-1169-3765</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Уваркин</surname><given-names>Павел Викторович</given-names></name><name name-style="western" xml:lang="en"><surname>Uvarkin</surname><given-names>Pavel V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ведущий технолог лаборатории физики наноструктурных биокомпозитов</p></bio><bio xml:lang="en"><p>Leading Technologist of the Laboratory of Physics of Nanostructured Biocomposites</p></bio><email xlink:type="simple">uvarkin@ispms.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/0000-0001-5037-245X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шаркеев</surname><given-names>Юрий Петрович</given-names></name><name name-style="western" xml:lang="en"><surname>Sharkeev</surname><given-names>Yurii P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д.ф.-м.н., профессор, заведующий лабораторией физики наноструктурных биокомпозитов</p></bio><bio xml:lang="en"><p>Dr. Sci. (Phys.-Math.), Prof., Head of the Laboratory of Physics of Nanostructured Biocomposites</p></bio><email xlink:type="simple">sharkeev@ispms.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт физики прочности и материаловедения Сибирского отделения Российской академии наук</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Strength Physics and Materials Science, Siberian Branch of the Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>29</day><month>12</month><year>2025</year></pub-date><volume>0</volume><issue>4</issue><fpage>91</fpage><lpage>102</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ерошенко А., Глухов И., Толмачев А., Уваркин П., Шаркеев Ю., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Ерошенко А., Глухов И., Толмачев А., Уваркин П., Шаркеев Ю.</copyright-holder><copyright-holder xml:lang="en">Eroshenko A., Gluhov I., Tolmachev A., Uvarkin P., Sharkeev Y.</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.sibsiu.ru/jour/article/view/864">https://vestnik.sibsiu.ru/jour/article/view/864</self-uri><abstract><p>Исследования, связанные с оценкой циклической долговечности разрабатываемых конструкционных материалов для медицины и техники, являются актуальной задачей. Одним из перспективных направлений медицинского материаловедения является разработка биосовместимых        β-сплавов на основе титана с модулем Юнга, сопоставимым со значениями для кортикальной костной ткани (2 ‒ 23 ГПа), в том числе и ультрамелкозернистых (УМЗ) сплавов. Закономерности усталостного разрушения для биосовместимых УМЗ титановых сплавов с низким модулем упругости для режимов много- и гигацикловой усталости мало исследованы и требуют детального анализа. Выполнено исследование особенностей разрушения биосовместимого сплава Ti ‒ 45 мас. % Nb в УМЗ и крупнокристаллическом (КК) состоянии при проведении испытаний на гигацикловую усталость на ультразвуковой резонансной нагружающей машине Shimadzu USF-2000. УМЗ сплав получали комбинированным методом abc-прессования с многоходовой прокаткой. Установлено, что формирование многофазной УМЗ структуры в сплаве Ti – 45 мас. % Nb приводит к повышению предела усталости в 1,5 раза в сравнении с КК структурой. Методом электронной растровой и просвечивающей микроскопии исследована поверхность разрушения образцов сплава в УМЗ и КК состояниях в зонах зарождения и инициирования трещины. Установлено, что характер морфологии поверхности образцов после разрушения титана в КК и УМЗ состояниях подобный. Зоны зарождения и распространения трещины имеют макробороздчатое строение, состоящее из фасеток и ямочного микрорельефа. Показано, что в результате разрушения при гигациклических испытаниях в КК состоянии сплава Ti – 45 мас. % Nb сформировалась ячеисто-сетчатая дислокационная субструктура, а в УМЗ состоянии - фрагментированная субструктура.</p></abstract><trans-abstract xml:lang="en"><p>Research related to the assessment of the cyclic durability of the developed structural materials for medicine and technology is an urgent task. One of the promising areas of medical materials science is the development of biocompatible β-alloys based on titanium with a Young's modulus comparable to values for cortical bone tissue (2 ‒ 23 GPa), including ultrafine-grained (UMZ) alloys. The patterns of fatigue failure for biocompatible UMS titanium alloys with low modulus of elasticity for multi- and gigacycle fatigue modes have been poorly studied and require detailed analysis. A study of the features of the destruction of a biocompatible Ti ‒ 45 wt alloy has been performed. % Nb in the UMZ and coarse-crystalline (KK) state during gigacycle fatigue tests on the Shimadzu USF-2000 ultrasonic resonant loading machine. The UMZ alloy was obtained by the combined abc-pressing method with multi-pass rolling. It has been established that the formation of a multiphase UMZ structure in the Ti – 45 wt alloy. % Nb leads to an increase in the fatigue limit by 1.5 times in comparison with the CC structure. The fracture surface of alloy samples in UMP and CC states in the nucleation and crack initiation zones was studied by electron scanning and transmission microscopy. It was established that the morphology of the surface of the samples after the destruction of titanium in the CC and UMZ states is similar. The nucleation and propagation zones of the crack have a macrobursted structure consisting of facets and a dimpled microrelief. It is shown that as a result of the destruction during gigacyclic tests in the QC state of the Ti – 45 alloy by weight. % Nb has formed a cellular-mesh dislocation substructure, and in the UMZ state, a fragmented substructure.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>сплав Ti – 45 мас. % Nb</kwd><kwd>ультрамелкозернистое состояние</kwd><kwd>усталостные испытания</kwd><kwd>излом</kwd><kwd>морфология поверхности разрушения</kwd><kwd>микроструктура</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Ti – 45 wt % Nb alloy</kwd><kwd>ultrafine-grained state</kwd><kwd>fatigue testing</kwd><kwd>surface morphology</kwd><kwd>fracture surface</kwd><kwd>microstructure</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">Baltatu M.S., Vizureanu P., Sandu A.V., Solcan C., Hritcu L.D., Spataru M.C. Research progress of titanium-based alloys for medical devices. Biomedicines. 2023;11:2997.</mixed-citation><mixed-citation xml:lang="en">Baltatu M.S., Vizureanu P., Sandu A.V., Solcan C., Hritcu L.D., Spataru M.C. Research progress of titanium-based alloys for medical devices. Biomedicines. 2023;11:2997.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">https://doi.org/10.3390/biomedicines11112997</mixed-citation><mixed-citation xml:lang="en">https://doi.org/10.3390/biomedicines11112997</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Abd-Elaziem W., Darwish M.A., Hamada A., Daoush W.M. Titanium-based alloys and composites for orthopedic implants applications: a comprehensive review. Materials &amp; Design. 2024;241:112850. https://doi.org/10.1016/j.matdes.2024.112850</mixed-citation><mixed-citation xml:lang="en">Abd-Elaziem W., Darwish M.A., Hamada A., Daoush W.M. Titanium-based alloys and composites for orthopedic implants applications: a comprehensive review. Materials &amp; Design. 2024;241:112850. https://doi.org/10.1016/j.matdes.2024.112850</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Sun B., Sun K., Meng X., Wang J. Size effect on the martensitic transformation of Ti – Nb shape memory alloy. Intermetallics. 2022;145:107562. https://doi.org/10.1016/j.intermet.2022.107562</mixed-citation><mixed-citation xml:lang="en">Sun B., Sun K., Meng X., Wang J. Size effect on the martensitic transformation of Ti – Nb shape memory alloy. Intermetallics. 2022;145:107562. https://doi.org/10.1016/j.intermet.2022.107562</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Bignona M., Bertrand E., Rivera-Díaz-del-Castillo P.E.J., Tancret F. Martensite formation in titanium alloys: crystallographic and compositional effects. Journal of Alloys and Compounds. 2021;872:159636.</mixed-citation><mixed-citation xml:lang="en">Bignona M., Bertrand E., Rivera-Díaz-del-Castillo P.E.J., Tancret F. Martensite formation in titanium alloys: crystallographic and compositional effects. Journal of Alloys and Compounds. 2021;872:159636.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">https://doi.org/10.1016/j.jallcom.2021.159636</mixed-citation><mixed-citation xml:lang="en">https://doi.org/10.1016/j.jallcom.2021.159636</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Liu K.Y., Yin L.X., Lin X., Liang S.X. Development of low elastic modulus titanium alloys as implant biomaterials. Recent Progress in Materials. 2022;4(2).</mixed-citation><mixed-citation xml:lang="en">Liu K.Y., Yin L.X., Lin X., Liang S.X. Development of low elastic modulus titanium alloys as implant biomaterials. Recent Progress in Materials. 2022;4(2).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">https://doi.org/10.21926/rpm.2202008</mixed-citation><mixed-citation xml:lang="en">https://doi.org/10.21926/rpm.2202008</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Marin E., Lanzutti A. Biomedical applications of titanium alloys: a comprehensive review. Materials. 2024;17:114.</mixed-citation><mixed-citation xml:lang="en">Marin E., Lanzutti A. Biomedical applications of titanium alloys: a comprehensive review. Materials. 2024;17:114.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">https://doi.org/10.3390/ma17010114</mixed-citation><mixed-citation xml:lang="en">https://doi.org/10.3390/ma17010114</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Valiev R.Z., Alexandrov I.V., Kawasaki M., Langdon T.G. Ultrafine-grained materials. Cham: Springer International Publishing; 2024:451. https://doi.org/10.1007/978-3-031-31729-3</mixed-citation><mixed-citation xml:lang="en">Valiev R.Z., Alexandrov I.V., Kawasaki M., Langdon T.G. Ultrafine-grained materials. Cham: Springer International Publishing; 2024:451. https://doi.org/10.1007/978-3-031-31729-3</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Picak S., Wegener T., Sajadifar S.V., Sobrero C. On the low-cycle fatigue response of CoCrNiFeMn high entropy alloy with ultra-fine grain structure. Acta Materialia. 2021;205:116540. https://doi.org/10.1016/j.actamat.2020.116540</mixed-citation><mixed-citation xml:lang="en">Picak S., Wegener T., Sajadifar S.V., Sobrero C. On the low-cycle fatigue response of CoCrNiFeMn high entropy alloy with ultra-fine grain structure. Acta Materialia. 2021;205:116540. https://doi.org/10.1016/j.actamat.2020.116540</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Du B., Sheng L., Cui C., Hu Z., Sun X. Effects of grain refinement on the low-cycle fatigue behavior of IN792 superalloys. Crystals. 2021;11:892. https://doi.org/10.3390/cryst11080892</mixed-citation><mixed-citation xml:lang="en">Du B., Sheng L., Cui C., Hu Z., Sun X. Effects of grain refinement on the low-cycle fatigue behavior of IN792 superalloys. Crystals. 2021;11:892. https://doi.org/10.3390/cryst11080892</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Ledon D.R., Bannikov M.V., Oborin V.A., Bayandin Yu.V., Naimark O.B. Prediction of the fatigue life of VT1-0 titanium in various structural states under very high cycle fatigue. Letters on Materials. 2021;11(4):422–426. https://doi.org/10.22226/2410-3535-2021-4-422-426</mixed-citation><mixed-citation xml:lang="en">Ledon D.R., Bannikov M.V., Oborin V.A., Bayandin Yu.V., Naimark O.B. Prediction of the fatigue life of VT1-0 titanium in various structural states under very high cycle fatigue. Letters on Materials. 2021;11(4):422–426. https://doi.org/10.22226/2410-3535-2021-4-422-426</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Sharkeev Yu., Eroshenko A., Legostaeva E., Kovalevskaya Z., Belyavskaya O., Khimich M., Epple M., Prymak O., Sokolova V., Zhu Q., Sun Z., Zhang H. Development of ultrafine-grained and nanostructured bioinert alloys based on titanium, zirconium and niobium and their microstructure, mechanical and biological properties. Metals. 2022;12(7):1136.</mixed-citation><mixed-citation xml:lang="en">Sharkeev Yu., Eroshenko A., Legostaeva E., Kovalevskaya Z., Belyavskaya O., Khimich M., Epple M., Prymak O., Sokolova V., Zhu Q., Sun Z., Zhang H. Development of ultrafine-grained and nanostructured bioinert alloys based on titanium, zirconium and niobium and their microstructure, mechanical and biological properties. Metals. 2022;12(7):1136.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">https://doi.org/10.3390/met12071136</mixed-citation><mixed-citation xml:lang="en">https://doi.org/10.3390/met12071136</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Gatina S., Polyakova V., Modina Yu.M., Se-menova I.P. Fatigue behavior and fracture features of Ti-15Mo alloy in β-, (α+β)-, and ultrafine-grained two-phase states. Metals. 2023;13:580. https://doi.org/10.3390/met13030580</mixed-citation><mixed-citation xml:lang="en">Gatina S., Polyakova V., Modina Yu.M., Se-menova I.P. Fatigue behavior and fracture features of Ti-15Mo alloy in β-, (α+β)-, and ultrafine-grained two-phase states. Metals. 2023;13:580. https://doi.org/10.3390/met13030580</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Naydenkin E., Mishin I.P., Ratochka I.V., Oborin V. Fatigue and fracture behavior of ultrafine-grained near β titanium alloy produced by radial shear rolling and subsequent aging. Materials Science and Engineering A. 2021;810:140968. https://doi.org/10.1016/j.msea.2021.140968</mixed-citation><mixed-citation xml:lang="en">Naydenkin E., Mishin I.P., Ratochka I.V., Oborin V. Fatigue and fracture behavior of ultrafine-grained near β titanium alloy produced by radial shear rolling and subsequent aging. Materials Science and Engineering A. 2021;810:140968. https://doi.org/10.1016/j.msea.2021.140968</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Bannikov M., Oborin V., Bilalov D.A., Naimark O.B. Nonlinear dynamics and stages of damage of Ti6Al4V and Ti45Nb titanium alloys in very high cycle fatigue. PNRPU Mechanics Bulletin. 2020;2:145–153. https://doi.org/10.15593/perm.mech/2020.2.12</mixed-citation><mixed-citation xml:lang="en">Bannikov M., Oborin V., Bilalov D.A., Naimark O.B. Nonlinear dynamics and stages of damage of Ti6Al4V and Ti45Nb titanium alloys in very high cycle fatigue. PNRPU Mechanics Bulletin. 2020;2:145–153. https://doi.org/10.15593/perm.mech/2020.2.12</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Oborin V., Bayandin Yu., Bannikov M., Savinykh A.S. Prediction of titanium alloy Ti-6Al-4V lifetime under consecutive shock-wave and gigacycle fatigue loads. Procedia Structural Integrity. 2021;32:152–157.</mixed-citation><mixed-citation xml:lang="en">Oborin V., Bayandin Yu., Bannikov M., Savinykh A.S. Prediction of titanium alloy Ti-6Al-4V lifetime under consecutive shock-wave and gigacycle fatigue loads. Procedia Structural Integrity. 2021;32:152–157.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">https://doi.org/10.1016/j.prostr.2021.09.022</mixed-citation><mixed-citation xml:lang="en">https://doi.org/10.1016/j.prostr.2021.09.022</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Edalati K., Bachmaier A., Beloshenko V.A. et al. Nanomaterials by severe plastic deformation: review of historical developments and recent advances. Materials Research Letters. 2022;10(4):163–256. https://doi.org/10.1080/21663831.2022.2029779</mixed-citation><mixed-citation xml:lang="en">Edalati K., Bachmaier A., Beloshenko V.A., et al. Nanomaterials by severe plastic deformation: review of historical developments and recent advances. Materials Research Letters. 2022;10(4):163–256. https://doi.org/10.1080/21663831.2022.2029779</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Glezer A.M., Kozlov E.V., Koneva N.A., Popova N.A., Kurzina I.A. Plastic deformation of nanostructured materials. Boca Raton: CRC Press; 2017:334.</mixed-citation><mixed-citation xml:lang="en">Glezer A.M., Kozlov E.V., Koneva N.A., Popova N.A., Kurzina I.A. Plastic deformation of nanostructured materials. Boca Raton: CRC Press; 2017:334.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">ASTM E1382-97. Standard test methods for determining average grain size using semiautomatic and automatic image analysis. West Conshohocken, PA: ASTM International; 2016:24.</mixed-citation><mixed-citation xml:lang="en">ASTM E1382-97. Standard test methods for determining average grain size using semiautomatic and automatic image analysis. West Conshohocken, PA: ASTM International; 2016:24.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Naimark O., Bayandin Yu., Uvarov S. Critical dynamics of damage-failure transition in wide range of load intensity. Acta Mechanica. 2021;232(4):1329–1345. https://doi.org/10.1007/s00707-020-02922-1</mixed-citation><mixed-citation xml:lang="en">Naimark O., Bayandin Yu., Uvarov S. Critical dynamics of damage-failure transition in wide range of load intensity. Acta Mechanica. 2021;232(4):1329–1345. https://doi.org/10.1007/s00707-020-02922-1</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Naimark O., Oborin V., Bannikov M., Ledon D. Critical dynamics of defects and mechanisms of damage-failure transitions in fatigue. Materials. 2021;14(10):2554. https://doi.org/10.3390/ma14102554</mixed-citation><mixed-citation xml:lang="en">Naimark O., Oborin V., Bannikov M., Ledon D. Critical dynamics of defects and mechanisms of damage-failure transitions in fatigue. Materials. 2021;14(10):2554. https://doi.org/10.3390/ma14102554</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Mahmood A., Sun C., Lashari M.I., Li W. Microstructure-based interior cracking behavior of α + β titanium alloy under two stress ratios and intermediate temperature in the very high-cycle fatigue regime. Journal of Materials Science. 2024;59(27):1–20. https://doi.org/10.1007/s10853-024-09892-y</mixed-citation><mixed-citation xml:lang="en">Mahmood A., Sun C., Lashari M.I., Li W. Microstructure-based interior cracking behavior of α+β titanium alloy under two stress ratios and intermediate temperature in the very high-cycle fatigue regime. Journal of Materials Science. 2024;59(27):1–20. https://doi.org/10.1007/s10853-024-09892-y</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Klevtsov G.V., Valiev R.Z., Klevtsova N.A., Tyurkov M.N., Pigaleva I.N., Aksenov D.A. Fracture kinetics and mechanisms of ultrafine-grained materials during fatigue tests in the low-cycle fatigue region. Metals. 2023;13:709. https://doi.org/10.3390/met13040709</mixed-citation><mixed-citation xml:lang="en">Klevtsov G.V., Valiev R.Z., Klevtsova N.A., Tyurkov M.N., Pigaleva I.N., Aksenov D.A. Fracture kinetics and mechanisms of ultrafine-grained materials during fatigue tests in the low-cycle fatigue region. Metals. 2023;13:709. https://doi.org/10.3390/met13040709</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Shanyavskiy A.A., Soldatenkov A.P. Metallic materials fatigue behavior: scale levels and ranges of transition between them. International Journal of Fatigue. 2022;158:106773. https://doi.org/10.1016/j.ijfatigue.2022.106773</mixed-citation><mixed-citation xml:lang="en">Shanyavskiy A.A., Soldatenkov A.P. Metallic materials fatigue behavior: scale levels and ranges of transition between them. International Journal of Fatigue. 2022;158:106773. https://doi.org/10.1016/j.ijfatigue.2022.106773</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Pan X., Xu S., Nikitin A., Shanyavskiy A. Crack initiation induced nanograins and facets of a titanium alloy with lamellar and equiaxed microstructure in very-high-cycle fatigue. Materials Letters. 2023;357:135769.</mixed-citation><mixed-citation xml:lang="en">Pan X., Xu S., Nikitin A., Shanyavskiy A. Crack initiation induced nanograins and facets of a titanium alloy with lamellar and equiaxed microstructure in very-high-cycle fatigue. Materials Letters. 2023;357:135769.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">https://doi.org/10.1016/j.matlet.2023.135769</mixed-citation><mixed-citation xml:lang="en">https://doi.org/10.1016/j.matlet.2023.135769</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Рыбин В.В. Большие пластические деформации и разрушение металлов. Москва: Металлургия, 1986:224.</mixed-citation><mixed-citation xml:lang="en">Rybin V.V. Large plastic deformations and destruction of metals. Moscow: Metallurgiya Publ., 1986:224. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Avateffazeli M., Webster G., Tahmasbi K., Haghshenas M. Very high cycle fatigue at elevated temperatures: a review on high temperature ultrasonic fatigue. Journal of Space Safety Engineering. 2022;9(6).</mixed-citation><mixed-citation xml:lang="en">Avateffazeli M., Webster G., Tahmasbi K., Haghshenas M. Very high cycle fatigue at elevated temperatures: a review on high temperature ultrasonic fatigue. Journal of Space Safety Engineering. 2022;9(6).</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">https://doi.org/10.1016/j.jsse.2022.07.006</mixed-citation><mixed-citation xml:lang="en">https://doi.org/10.1016/j.jsse.2022.07.006</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Shanyavskiy A.A., Nikitin A.D., Palin-Luc T. Very high cycle fatigue of D16T aluminum alloy. Physical Mesomechanics. 2021;24(1):122–129. https://doi.org/10.1134/S1029959921010112</mixed-citation><mixed-citation xml:lang="en">Shanyavskiy A.A., Nikitin A.D., Palin-Luc T. Very high cycle fatigue of D16T aluminum alloy. Physical Mesomechanics. 2021;24(1):122–129. https://doi.org/10.1134/S1029959921010112</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>
