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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">kaz29</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Казахстанско-Британского технического университета</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of the Kazakh-British Technical University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-6688</issn><issn pub-type="epub">2959-8109</issn><publisher><publisher-name>Казахстанско-Британский Технический Университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.55452/1998-6688-2023-20-4-55-62</article-id><article-id custom-type="elpub" pub-id-type="custom">kaz29-873</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>МАТЕМАТИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICAL SCIENCES</subject></subj-group></article-categories><title-group><article-title>МОДЕЛИРОВАНИЕ РАДИАЦИОННЫХ ПРОЦЕССОВ ДЕФЕКТООБРАЗОВАНИЯ В МАТЕРИАЛАХ, ОБЛУЧЕННЫХ ИОНАМИ</article-title><trans-title-group xml:lang="en"><trans-title>Modeling of radiation processes of defect formation in materials irradiated with ions</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6750-253X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шмыгалева</surname><given-names>Т. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Shmygaleva</surname><given-names>T. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шмыгалева Татьяна Александровна, Доктор технических наук, профессор</p><p>ул. Аль-Фараби, 71, 050040, г. Алматы</p></bio><bio xml:lang="en"><p>Shmygaleva Tatiana Alexandrovna, Doctor of Technical Sciences, Professor</p><p>71, Al-Farabi street, 050040, Almaty</p></bio><email xlink:type="simple">shmyg1953@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/0000-0003-1963-0005</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сраждинова</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Srazhdinova</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сраждинова Азиза Абдулкеримовна, Магистр технических наук</p><p>ул. Толе би, 59, 050000, г. Алматы</p></bio><bio xml:lang="en"><p>Srazhdinova Aziza Abdulkerimovna, Master of Technical Sciences</p><p>59, Tole bi street, 050000, Almaty</p></bio><email xlink:type="simple">aziza0167@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Казахский национальный университет им. аль-Фараби<country>Казахстан</country></aff><aff xml:lang="en">Al-Farabi Kazakh National University<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Казахстанско-Британский технический университет<country>Казахстан</country></aff><aff xml:lang="en">Kazakh-British Technical University<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>22</day><month>12</month><year>2023</year></pub-date><volume>20</volume><issue>4</issue><fpage>55</fpage><lpage>62</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Шмыгалева Т.А., Сраждинова А.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Шмыгалева Т.А., Сраждинова А.А.</copyright-holder><copyright-holder xml:lang="en">Shmygaleva T.A., Srazhdinova A.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestnik.kbtu.edu.kz/jour/article/view/873">https://vestnik.kbtu.edu.kz/jour/article/view/873</self-uri><abstract><p>Потребление материалов растет с каждым днем, а это значит, что нам все чаще придется справляться с проблемами природных ресурсов и снабжения. Поэтому человечество вынуждено расширять свою ресурсную базу, находя способы более эффективно использовать существующее сырье, превращать ранее непригодные вещества в полезные материалы, а также производить совершенно новые материалы из веществ, которые доступны в изобилии. Одним из способов создания новых материалов является облучение вещества заряженными ионами. В статье рассматривается данный способ, основанный на каскадно-вероятностном методе, цель которого состоит в получении, а также последующем использовании каскадно-вероятностных функций (КВФ) с учетом потерь энергии для ионов. Проведены расчеты КВФ в зависимости от количества соударений и глубины наблюдения для различных падающих ионов и образцов. При расчете каскадно-вероятностных функций и пространственных распределений вакансионных кластеров получены закономерности поведения и нахождения реальной результирующей области в сплавах из золота и серебра. Автоматизирован подбор шага и границ для расчета. Результаты выполненных вычислений проиллюстрированы в виде графиков и таблиц.</p></abstract><trans-abstract xml:lang="en"><p>The consumption of materials is growing every day, which means that we will increasingly have to cope with the problems of natural resources and supply. Therefore, humanity is forced to expand its resource base finding ways to use existing raw materials more efficiently, turn previously unusable substances into useful materials and also produce completely new materials from substances that are available in abundance. One of the ways to create new materials is to irradiate a substance with charged ions. The article discusses this technique based on the cascade-probabilistic method, the purpose of which is to obtain as well as the next ensuing use of cascade-probabilistic functions (CPF) considering energy losses for ions. The CPF computations were executed depending on the number of collisions and the depth of surveillance for various incident ions and samples. When computing cascade-probabilistic functions and spatial distributions of vacancy clusters patterns of conduct and finding the real resulting region in gold and silver alloys were obtained. Selection of step and boundaries for calculation were automated. Results of the calculations performed are illustrated in the form of graphs and tables.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>моделирование</kwd><kwd>закономерность</kwd><kwd>каскадно-вероятностная функция</kwd><kwd>концентрация</kwd><kwd>ионное облучение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>modeling</kwd><kwd>regularity</kwd><kwd>cascade-probabilistic function</kwd><kwd>concentration</kwd><kwd>ion irradiation</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">Boos E.G., Kupchishin A.A., Kupchishin A.I., Shmygalev E.V., Shmygaleva T.A. (2015) Kaskadnoveroyatnostnyj metod, reshenie radiacionno-fizicheskih zadach, uravnenij Bol’cmana. Svyaz’ s cepyami Markova.Kaskadno-veroyatnostnyj metod, reshenie radiacionno-fizicheskih zadach, uravnenij Bol’cmana. Svyaz’ s cepyami Markova.Kaskadno-veroyatnostnyj metod, reshenie radiacionno-fizicheskih zadach, uravnenij Bol’cmana. Svyaz’ s cepyami Markova. Almaty: KazNPU im. Abaya, NII NHT i M KazNU im. al’-Farabi, 388 p.</mixed-citation><mixed-citation xml:lang="en">Boos E.G., Kupchishin A.A., Kupchishin A.I., Shmygalev E.V., Shmygaleva T.A. (2015) Kaskadnoveroyatnostnyj metod, reshenie radiacionno-fizicheskih zadach, uravnenij Bol’cmana. Svyaz’ s cepyami Markova.Kaskadno-veroyatnostnyj metod, reshenie radiacionno-fizicheskih zadach, uravnenij Bol’cmana. Svyaz’ s cepyami Markova.Kaskadno-veroyatnostnyj metod, reshenie radiacionno-fizicheskih zadach, uravnenij Bol’cmana. Svyaz’ s cepyami Markova. Almaty: KazNPU im. Abaya, NII NHT i M KazNU im. al’-Farabi, 388 p.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Dubovichenko S.B., Dzhazairov-Kakhramanov A.V., Shmygaleva T.A. (2021) Reaction Rate of Radiative p 13N Capture. Russian Physics Journal, vol. 64, no 6, pp. 961–969.</mixed-citation><mixed-citation xml:lang="en">Dubovichenko S.B., Dzhazairov-Kakhramanov A.V., Shmygaleva T.A. (2021) Reaction Rate of Radiative p 13N Capture. Russian Physics Journal, vol. 64, no 6, pp. 961–969.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Komarov F.F., Shmygaleva T.A., Akanbay, N., Shafii S.A., Kuatbayeva A.A. (2019) Optimization calculation algorithms on cascade and probabilistic functions and radiation defects concentration at the ionic radiation. International Journal of Mathematics and Physics, vol. 10, no 1, pp. 88–98.</mixed-citation><mixed-citation xml:lang="en">Komarov F.F., Shmygaleva T.A., Akanbay, N., Shafii S.A., Kuatbayeva A.A. (2019) Optimization calculation algorithms on cascade and probabilistic functions and radiation defects concentration at the ionic radiation. International Journal of Mathematics and Physics, vol. 10, no 1, pp. 88–98.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Shmygaleva T.A., Kupchishin A.I., Kupchishin, A.A., Shafii C.A. (2019) Computer simulation of the energy spectra of PKA in materials irradiated by protons in the framework of the Cascade- Probabilistic method. IOP Conference Series: Materials Science and Engineering, vol. 510, no 1, (012024).</mixed-citation><mixed-citation xml:lang="en">Shmygaleva T.A., Kupchishin A.I., Kupchishin, A.A., Shafii C.A. (2019) Computer simulation of the energy spectra of PKA in materials irradiated by protons in the framework of the Cascade- Probabilistic method. IOP Conference Series: Materials Science and Engineering, vol. 510, no 1, (012024).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Komarov F.F., Konstantinov S.V., ̇Zuk J., ...Chizhov I.V., Zaikov V.A. (2022) Structure and Mechanical Properties of TiAlN Coatings under High-Temperature Ar+ Ion Irradiation. Acta Physica Polonica A, vol. 142, no 6, pp. 690–696.</mixed-citation><mixed-citation xml:lang="en">Komarov F.F., Konstantinov S.V., ̇Zuk J., ...Chizhov I.V., Zaikov V.A. (2022) Structure and Mechanical Properties of TiAlN Coatings under High-Temperature Ar+ Ion Irradiation. Acta Physica Polonica A, vol. 142, no 6, pp. 690–696.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Fan J.Y., Huang J.C. and Pan J.Y. (2019) An adaptive multi-step Levenberg-Marquardt method, Journal of Scientific Computing, vol. 78, pp. 531–548.</mixed-citation><mixed-citation xml:lang="en">Fan J.Y., Huang J.C. and Pan J.Y. (2019) An adaptive multi-step Levenberg-Marquardt method, Journal of Scientific Computing, vol. 78, pp. 531–548.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Shmygaleva T.A., Srazhdinova A.A., Shafii, S. (2021) Computer-based modeling of radiation defect parameters in materials irradiated with charged particles. Journal of Physics: Conference Series, vol. 2032, no 1, (012050).</mixed-citation><mixed-citation xml:lang="en">Shmygaleva T.A., Srazhdinova A.A., Shafii, S. (2021) Computer-based modeling of radiation defect parameters in materials irradiated with charged particles. Journal of Physics: Conference Series, vol. 2032, no 1, (012050).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Komarov F.F, Shmygaleva T.A., Kuatbayeva A.A., Srazhdinova A.A. (2020) Computer simulation of vacancy clusters concentration in titanium irradiated with ions. International Journal of Mathematics and Physics, vol. 11, no 2, pp. 20–26.</mixed-citation><mixed-citation xml:lang="en">Komarov F.F, Shmygaleva T.A., Kuatbayeva A.A., Srazhdinova A.A. (2020) Computer simulation of vacancy clusters concentration in titanium irradiated with ions. International Journal of Mathematics and Physics, vol. 11, no 2, pp. 20–26.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Wallace J. B., Bayu A L. B. and Kucheyev S. O. (2019) Radiation defect dynamics in solids studied by pulsed ion beams. Nucl. Instr. and Methods in Phys. Res. Section B: Beam Inter with Mat. and Atoms, vol. 460, pp. 125–127.</mixed-citation><mixed-citation xml:lang="en">Wallace J. B., Bayu A L. B. and Kucheyev S. O. (2019) Radiation defect dynamics in solids studied by pulsed ion beams. Nucl. Instr. and Methods in Phys. Res. Section B: Beam Inter with Mat. and Atoms, vol. 460, pp. 125–127.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Velisa G., Wendler E., Wang L.L., Zhang Y. and Weber W.J. (2019) Ion mass dependence of irradiationinduced damage accumulation in KTaO3. Journal of Mat. Science, vol. 54, pp. 149–158.</mixed-citation><mixed-citation xml:lang="en">Velisa G., Wendler E., Wang L.L., Zhang Y. and Weber W.J. (2019) Ion mass dependence of irradiationinduced damage accumulation in KTaO3. Journal of Mat. Science, vol. 54, pp. 149–158.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Boss E.G. and Kupchishin A.I. (1988) Reshenie fizicheskih zadach kaskadno-veroyatnostnym metodom. Alma-Ata: Nauka.</mixed-citation><mixed-citation xml:lang="en">Boss E.G. and Kupchishin A.I. (1988) Reshenie fizicheskih zadach kaskadno-veroyatnostnym metodom. Alma-Ata: Nauka.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Komarov F.F. and Kumahov M.A. (1980) Tablicy parametrov prostranstvennogo raspredeleniya ionnoimplantirovannyh primesej. Minsk: izd-vo BGU, im. V.I. Lenina.</mixed-citation><mixed-citation xml:lang="en">Komarov F.F. and Kumahov M.A. (1980) Tablicy parametrov prostranstvennogo raspredeleniya ionnoimplantirovannyh primesej. Minsk: izd-vo BGU, im. V.I. Lenina.</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>
