<?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">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">10.57070/2304-4497-2023-1(43)-17-23</article-id><article-id custom-type="elpub" pub-id-type="custom">vsgiu-135</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 1. Физика конденсированного состояния</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Section 1. Condensed Matter Physics</subject></subj-group></article-categories><title-group><article-title>АТОМНЫЕ МЕХАНИЗМЫ МИГРАЦИИ ГРАНИЦ НАКЛОНА  И  НА ПРИМЕРЕ НИКЕЛЯ</article-title><trans-title-group xml:lang="en"><trans-title>ATOMIC MECHANISMS OF  AND  TILT BOUNDARY MIGRATION ON THE EXAMPLE OF NICKEL</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5748-813X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Зоря</surname><given-names>Ирина Васильевна</given-names></name><name name-style="western" xml:lang="en"><surname>Zorya</surname><given-names>Irina V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д.ф.-м.н., доцент, заведующий кафедрой теплогазоводоснабжения, водоотведения и вентиляции</p></bio><bio xml:lang="en"><p>Dr. Sci. (Phys.-Math.), Asist. Prof., Head of the Department of Heat and Gas Supply, Water Disposal and Ventilation</p></bio><email xlink:type="simple">zorya.i@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/0000-0002-5252-2455</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Полетаев</surname><given-names>Геннадий Михайлович</given-names></name><name name-style="western" xml:lang="en"><surname>Poletaev</surname><given-names>Gennady M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д.ф.-м.н., профессор, заведующий кафедрой высшей математики</p></bio><bio xml:lang="en"><p>Dr. Sci. (Phys.-Math.), Professor, Head of the Department of Higher Mathematics</p></bio><email xlink:type="simple">gmpoletaev@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Сибирский государственный индустриальный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Siberian State Industrial University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Алтайский государственный технический университет им. И.И. Ползунова</institution><country>Russian Federation</country></aff><aff xml:lang="en"><institution>Altai State Technical University named after I.I. Polzunov</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>23</day><month>05</month><year>2025</year></pub-date><volume>0</volume><issue>1</issue><fpage>17</fpage><lpage>23</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Зоря И.В., Полетаев Г.М., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Зоря И.В., Полетаев Г.М.</copyright-holder><copyright-holder xml:lang="en">Zorya I., Poletaev G.</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/135">https://vestnik.sibsiu.ru/jour/article/view/135</self-uri><abstract><p>Принципиальные разногласия в понимании механизма и в значениях энергии активации миграции формируют запрос на новые исследования этой научной проблемы посредством четко аттестованных границ зерен. Методом молекулярной динамики выполнен анализ динамики атомного механизма миграции малоугловых границ &lt;100&gt; и &lt;111&gt;, который показал, что парные зернограничные дислокации в процессе движения границы расщепляются со сменой дислокаций-партнеров. Миграция малоугловых границ наклона &lt;100&gt; реализуется посредством расщепления и смены дислокаций-партнеров, в результате работы данного механизма смещения атомов образуется сетка с квадратными ячейками. В случае миграции границ &lt;111&gt; присутствует также механизм совместного скольжения парных зернограничных дислокаций. В отличие от зернограничных дислокаций границ &lt;100&gt; парные дислокации границ &lt;111&gt; имеют общие плоскости скольжения, вдоль которых они могут скользить со сравнительно низкой энергией активации. При миграции границ &lt;111&gt; зафиксировано комбинированное действие обоих механизмов: совместное скольжение парных зернограничных дислокаций и их расщепление со сменой дислокаций-партнеров. В процессе миграции в зерне, куда двигалась граница, образуются симметричные участки, которые путем поворота «подстраиваются» под структуру другого зерна. Именно поэтому при миграции границ &lt;111&gt; ячейки сетки атомных смещений имеют гексагональную форму.</p></abstract><trans-abstract xml:lang="en"><p>. Fundamental differences in the understanding of the mechanism and values of the energy of activation of migration form a request for new studies of this scientific problem through clearly certified grain boundaries. The molecular dynamics method was used to analyze the dynamics of the atomic mechanism of migration of small-angle boundaries &lt;100&gt; and &lt;111&gt;, which showed that paired grain-boundary dislocations split during the boundary movement with the change of partner dislocations. The migration of small-angle slope boundaries &lt;100&gt; is realized by splitting and changing partner dislocations, as a result of the operation of this mechanism of displacement of atoms, a grid with square cells is formed. In the case of border migration &lt;111&gt;, there is also a mechanism of joint sliding of paired grain-boundary dislocations. Paired dislocations of boundaries &lt;111&gt;, unlike grain-boundary dislocations of boundaries &lt;100&gt;, have common sliding planes along which they can slide with a relatively low activation energy. During the migration of borders &lt;111&gt;, the combined action of both mechanisms was recorded: the joint sliding of paired grain-boundary dislocations and their splitting with the change of partner dislocations. In the process of migration, symmetrical sections are formed in the grain where the border was moving, which, by turning, "adjust" to the structure of another grain. Therefore, when migrating boundaries &lt;111&gt;, the cells of the atomic displacement grid have a hexagonal shape.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>метод молекулярной динамики</kwd><kwd>миграция границ наклона</kwd><kwd>зернограничные дислокации</kwd><kwd>скорость миграции границы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>method of molecular dynamics</kwd><kwd>migration of inclination boundaries</kwd><kwd>grain boundary dislocations</kwd><kwd>migration rate of the boundary</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">Gottstein G., Shvindlerman L.S. Grain Boundary Migration in Metals: Thermo-dynamics, Kinetics, Applications. Second Edition. 2009. Boca Raton: CRC Press: 2009. 711 p.</mixed-citation><mixed-citation xml:lang="en">Gottstein G., Shvindlerman L.S. Grain Boundary Migration in Metals: Thermody-namics, Kinetics, Applications. Second Edition. 2009. Boca Raton: CRC Press: 2009, 711 p.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Balluffi R.W., Cahn J.W. Mechanism for diffusion induced grain boundary migration // Acta Metallurgica. 1981. Vol. 29. P. 493‒500.</mixed-citation><mixed-citation xml:lang="en">Balluffi R.W., Cahn J.W. Mechanism for diffusion induced grain boundary migration. Acta Metallurgica. 1981, vol. 29, pp. 493‒500.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Winning M., Rollett A.D., Gottstein G., Srolovitz D.J., Lim A., Shvindlerman L.S. Mobility of low-angle grain boundaries in pure metals // Philosophical Magazine. 2010. Vol. 90. P. 3107‒3128.</mixed-citation><mixed-citation xml:lang="en">Winning M., Rollett A.D., Gottstein G., Srolovitz D.J., Lim A., Shvindlerman L.S. Mobility of low-angle grain boundaries in pure metals. Philosophical Magazine. 2010, vol. 90, pp. 3107‒3128.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Huang Y., Humphreys F.J. Measurements of grain boundary mobility during recrystallization of a single-phase aluminium alloy // Acta Materialia. 1999. Vol. 47. P. 2259‒2268.</mixed-citation><mixed-citation xml:lang="en">Huang Y., Humphreys F.J. Measurements of grain boundary mobility during recrystallization of a single-phase aluminium alloy. Acta Materialia. 1999, vol. 47, pp. 2259‒2268.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Huang Y., Humphreys F.J. The effect of so-lutes on grain boundary mobility during recrystallization and grain growth in some single-phase aluminium alloys // Materials Chemistry and Physics. 2012. Vol. 132. P. 166‒174. https://doi.org/10.1016/j.matchemphys.2011.11.018</mixed-citation><mixed-citation xml:lang="en">Huang Y., Humphreys F.J. The effect of solutes on grain boundary mobility during recrystallization and grain growth in some single-phase aluminium alloys. Materials Chemistry and Physics. 2012, vol. 132, pp. 166‒174. https://doi.org/10.1016/j.matchemphys.2011.11.018</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Полетаев Г.М. Атомные механизмы структурно-энергетических превращений в объеме кристаллов и вблизи границ зерен наклона в ГЦК металлах. Диссертация на соискание ученой степени доктора физ.-мат. наук. Барнаул. 2008, 356 с.</mixed-citation><mixed-citation xml:lang="en">Poletaev G.M. Atomic mechanisms of structural-energetic transformations in the bulk of crystals and near tilt grain boundaries in FCC metals. Dissertation for the degree of doctor of fiz.-mat. Sciences. Barnaul, 2008, 356 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Атомные механизмы структурно-энергетических превращений вблизи границ зерен наклона в ГЦК металлах и интерметаллиде Ni3Al / Г.М. Полетаев и др. Новокузнецк: СибГИУ. 2008. 160 c.</mixed-citation><mixed-citation xml:lang="en">Poletaev G.M. Atomic Mechanisms of Structural-Energy Transformations Near Tilt Grain Boundaries in FCC Metals and Ni3Al Intermetallide. Novokuznetsk: SibGIU, 2008. 160 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Кайбышев О.А., Валиев Р.З. Границы зерен и свойства металлов. Москва: Металлургия, 1987. 216 c.</mixed-citation><mixed-citation xml:lang="en">Kajbyshev O.A., Valiev R.Z. Grain boundaries and properties of metals. Moscow: Metallurgy, 1987. 216 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Gottstein G., Molodov D.A., Shvindlerman L.S. Grain boundary migration in metals: recent developments // Interface Science. 1998. No. 6. P. 7‒22.</mixed-citation><mixed-citation xml:lang="en">Gottstein G., Molodov D.A., Shvindlerman L.S. Grain boundary migration in metals: recent developments. Interface Science. 1998, no. 6, pp. 7‒22.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Molodov D.A., Ivanov V.A., Gottstein G. Low angle tilt boundary migration coupled to shear deformation // Acta Materialia. 2007. Vol. 55 (5). P. 1843‒1848.</mixed-citation><mixed-citation xml:lang="en">Molodov D.A., Ivanov V.A., Gottstein G. Low angle tilt boundary migration coupled to shear deformation. Acta Materialia. 2007, vol. 55 (5), pp. 1843‒1848.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Протасова С.Г., Сурсаева В.Г., Швиндлерман Л.С. Исследование движения индивидуальных тройных стыков в алюминии // Физика твердого тела. 2003. Т. 45. № 8. С. 1402‒1405.</mixed-citation><mixed-citation xml:lang="en">Protasova S.G., Sursaeva V.G., Shvindlerman L.S. Study of the movement of individual triple joints in aluminum. Solid state physics. 2003, vol. 45, no. 8, pp. 1402‒1405. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Gottstein G., Sursaeva V., Shvindlerman L. The effect of triple junctions on grain boundary motion and grain microstructure evolution // Interface Science. 1999. № 7. С. 273‒283. https://doi.org/10.1023/A:1008721426104</mixed-citation><mixed-citation xml:lang="en">Gottstein G., Sursaeva V., Shvindlerman L. The effect of triple junctions on grain boundary motion and grain microstructure evolution. Interface Science. 1999, no. 7, pp. 273‒283. https://doi.org/10.1023/A:1008721426104</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Upmanyu M., Srolovitz D.J., Shvindlerman L.S., Gottstein G. Triple junction mobility: a molecular dynamics study // Interface Science. 1999. No. 7. P. 307‒319.</mixed-citation><mixed-citation xml:lang="en">Upmanyu M., Srolovitz D.J., Shvindlerman L.S., Gottstein G. Triple junction mobility: a molecular dynamics study. Interface Science. 1999, no. 7, pp. 307‒319.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Upmanyu M., Srolovitz D.J., Shvindlerman L.S., Gottstein G. Molecular dynamics simulation of triple junction migration // Acta Materialia. 2002. Vol. 50. P. 1405‒1420.</mixed-citation><mixed-citation xml:lang="en">Upmanyu M., Srolovitz D.J., Shvindlerman L.S., Gottstein G. Molecular dynamics simulation of triple junction migration. Acta Materialia. 2002, vol. 50, pp. 1405‒1420.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Fortes M.A., Deus A.M. Effects of triple grain junctions on equilibrium boundary angles and grain growth kinetics // Materials Science Forum. 2004. Vol. 455-456. P. 648‒652.</mixed-citation><mixed-citation xml:lang="en">Fortes M.A., Deus A.M. Effects of triple grain junctions on equilibrium boundary angles and grain growth kinetics. Materials Science Forum. 2004, vol. 455-456, pp. 648‒652.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Perevalova O.B., Konovalova E.V., Koneva N.A., Kozlov E.V. Energy of grain boundaries of different types in fcc solid solutions, ordered alloys and intermetallics with L12 superstructure // Journal of Materials Science and Technology. 2003. Vol. 19. No. 6. P. 593‒596.</mixed-citation><mixed-citation xml:lang="en">Perevalova O.B., Konovalova E.V., Koneva N.A., Kozlov E.V. Energy of grain boundaries of different types in fcc solid solutions, ordered alloys and intermetallics with L12 superstructure. Journal of Materials Science and Technology. 2003, vol. 19, no. 6, pp. 593‒596.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Bulatov V.V., Reed B.W., Kumar M. Grain boundary energy function for FCC metals // Acta Materialia. 2014. Vol. 65. P. 161–175. https://doi.org/10.1016/j.actamat.2013.10.057</mixed-citation><mixed-citation xml:lang="en">Bulatov V.V., Reed B.W., Kumar M. Grain boundary energy function for FCC metals. Acta Materialia. 2014, vol. 65, pp. 161–175. https://doi.org/10.1016/j.actamat.2013.10.057</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Olmsted D.L., Foiles S.M., Holm E.A. Survey of computed grain boundary properties in face-centered cubic metals: I. Grain boundary energy // Acta Materialia. 2009. Vol. 57. P. 3694‒3703. https://doi.org/10.1016/j.actamat.2009.04.007</mixed-citation><mixed-citation xml:lang="en">Olmsted D.L., Foiles S.M., Holm E.A. Survey of computed grain boundary properties in face-centered cubic metals: I. Grain boundary energy. Acta Materialia. 2009, vol. 57, pp. 3694‒3703. https://doi.org/10.1016/j.actamat.2009.04.007</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Masahashi N., Takasugi T., Izumi O. High-temperature strength and ductility of L12-type Ni3Al–Ni3Mn intermetallic compound // Journal of Materials Science. 1987. Vol. 22. P. 2599–2608.</mixed-citation><mixed-citation xml:lang="en">Masahashi N., Takasugi T., Izumi O. High-temperature strength and ductility of L12-type Ni3Al–Ni3Mn intermetallic compound. Journal of Materials Science. 1987, vol. 22, pp. 2599–2608.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Ramesh R., Pathiraj B., Kolster B.H. Crystal structure changes in Ni3Al and its anomalous temperature dependence of strength. Journal of Materials Processing Technology. 1996. Vol. 56. P. 78‒87.</mixed-citation><mixed-citation xml:lang="en">Ramesh R., Pathiraj B., Kolster B.H. Crystal structure changes in Ni3Al and its anomalous temperature dependence of strength. Journal of Materials Processing Technology. 1996,       vol. 56, pp. 78‒87.</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>
