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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="other" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Frontier Materials &amp; Technologies</journal-id><journal-title-group><journal-title xml:lang="en">Frontier Materials &amp; Technologies</journal-title><trans-title-group xml:lang="ru"><trans-title>Frontier Materials &amp; Technologies</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2782-4039</issn><issn publication-format="electronic">2782-6074</issn><publisher><publisher-name xml:lang="en">Togliatti State University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">808</article-id><article-id pub-id-type="doi">10.18323/2782-4039-2022-4-49-69</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject></subject></subj-group></article-categories><title-group><article-title xml:lang="en">Different-sized porosity and thermal conductivity of oxide layers formed by plasma-electrolytic oxidation on the AlSi12Mg silumin</article-title><trans-title-group xml:lang="ru"><trans-title>Разноразмерная пористость и теплопроводность оксидных слоев, сформированных плазменно-электролитическим оксидированием на силумине АК12Д</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Ivashin</surname><given-names>Pavel V.</given-names></name><name xml:lang="ru"><surname>Ивашин</surname><given-names>Павел Валентинович</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>PhD (Engineering), senior researcher</p></bio><bio xml:lang="ru"><p>кандидат технических наук, старший научный сотрудник</p></bio><email>ivashinpv@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7189-0002</contrib-id><name-alternatives><name xml:lang="en"><surname>Krishtal</surname><given-names>Mikhail M.</given-names></name><name xml:lang="ru"><surname>Криштал</surname><given-names>Михаил Михайлович</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Doctor of Sciences (Physics and Mathematics), Professor</p></bio><bio xml:lang="ru"><p>доктор физико-математических наук, профессор</p></bio><email>krishtal@tltsu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Tverdokhlebov</surname><given-names>Andrey Ya.</given-names></name><name xml:lang="ru"><surname>Твердохлебов</surname><given-names>Андрей Яковлевич</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>engineer</p></bio><bio xml:lang="ru"><p>инженер</p></bio><email>andr.tverd@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8484-2456</contrib-id><name-alternatives><name xml:lang="en"><surname>Polunin</surname><given-names>Anton V.</given-names></name><name xml:lang="ru"><surname>Полунин</surname><given-names>Антон Викторович</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>PhD (Engineering), leading researcher</p></bio><bio xml:lang="ru"><p>кандидат технических наук, ведущий научный сотрудник</p></bio><email>anpol86@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2269-0498</contrib-id><name-alternatives><name xml:lang="en"><surname>Dudareva</surname><given-names>Natalya Yu.</given-names></name><name xml:lang="ru"><surname>Дударева</surname><given-names>Наталья Юрьевна</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Doctor of Sciences (Engineering), Professor</p></bio><bio xml:lang="ru"><p>доктор технических наук, профессор</p></bio><email>dudareva.nyu@ugatu.su</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0530-0729</contrib-id><name-alternatives><name xml:lang="en"><surname>Kruglov</surname><given-names>Aleksandr B.</given-names></name><name xml:lang="ru"><surname>Круглов</surname><given-names>Александр Борисович</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>PhD (Physics and Mathematics), Associate Professor</p></bio><bio xml:lang="ru"><p>кандидат физико-математических наук, доцент</p></bio><email>ABKruglov@mephi.ru</email><xref ref-type="aff" rid="aff3"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Togliatti State University, Togliatti</institution></aff><aff><institution xml:lang="ru">Тольяттинский государственный университет, Тольятти</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Ufa University of Science and Technology, Ufa</institution></aff><aff><institution xml:lang="ru">Уфимский университет науки и технологий, Уфа</institution></aff></aff-alternatives><aff-alternatives id="aff3"><aff><institution xml:lang="en">National Research Nuclear University MEPhI, Moscow</institution></aff><aff><institution xml:lang="ru">Национальный исследовательский ядерный университет «МИФИ», Москва</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2022-12-30" publication-format="electronic"><day>30</day><month>12</month><year>2022</year></pub-date><issue>4</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>49</fpage><lpage>69</lpage><history><date date-type="received" iso-8601-date="2022-12-30"><day>30</day><month>12</month><year>2022</year></date></history><permissions><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/></permissions><self-uri xlink:href="https://vektornaukitech.ru/jour/article/view/808">https://vektornaukitech.ru/jour/article/view/808</self-uri><abstract xml:lang="en"><p>Oxide layers formed by plasma-electrolytic oxidation (PEO) are characterized by a sufficiently high porosity, which influences almost the whole complex of service characteristics. However, the known data on the integral porosity of PEO-produced layers are rather contradictory, and the pore size distribution in these layers remains understudied.  Pore size distribution in the range of 10 nm to 10 µm (pore geometry was approximated by a spherical shape) was obtained by using analysis of scanning electron microscopy (SEM) images in a wide range of magnifications. Lognormal distribution function fits the shape of pore size distribution sufficiently well. Such distribution indicates the nature of pore formation, which can be related to the thermally activated process of gas emission from a liquid melt, the volume and average temperature of which, in turn, depend on the micro-arc discharge energy. The results of the oxide layer phase composition and crystallites sizes by the X-ray crystallography were described in the present paper. The amorphous component phase composition was estimated by the comparing of the of X-ray spectral microanalysis and X-ray crystallography methods. The thermal conductivity of the intact oxide layer and the polished layer (after the removal of its highly-porous outer part) was evaluated by using of the steady-state method and the laser flash method. The porosity values calculated based on the analysis of SEM-images, and the results of determining the phase composition, including amorphous phases, allowed evaluating the oxide layer thermal conductivity with use of four known analytical models. The results of calculating the thermal conductivity using the Loeb model demonstrate the good convergence with the experimental results obtained in this paper. Modeling results the size of crystallites effect on the oxide layer thermal conductivity significantly less than the porosity and amorphous phase.</p></abstract><trans-abstract xml:lang="ru"><p>Оксидные слои, сформированные плазменно-электролитическим оксидированием (ПЭО), характеризуются достаточно высокой пористостью, что влияет практически на весь комплекс служебных характеристик. Тем не менее известные данные об интегральной пористости слоев, получаемых ПЭО, достаточно противоречивы, а характер распределения пор по размерам в этих слоях остается малоизученным. В результате обработки полученных в широком диапазоне увеличений изображений поперечного сечения слоя (сканирующая электронная микроскопия – СЭМ, image-based анализ) получено распределение пор по размерам в диапазоне от 10 нм до 10 мкм, которое достаточно хорошо описывается функцией логарифмически нормального распределения (геометрия пор аппроксимировалась сферической формой). Такой характер распределения указывает на природу образования пор, которую можно связать с термически активируемым процессом выделения газа из расплава, объем и средняя температура которого, в свою очередь, определяются энергией микродуговых разрядов. В работе также представлены результаты определения методом рентгеноструктурного анализа (РСА) фазового состава оксидного слоя и размеров кристаллитов. Сравнением результатов рентгеноспектрального микроанализа (РСМА) и РСА оценен фазовый состав аморфной составляющей. Стационарным методом и методом импульсного лазерного нагрева определена теплопроводность исходного оксидного слоя и слоя после удаления его высокопористой наружной части. Полученные экспериментально-расчетным путем на основе анализа СЭМ-изображений значения пористости и результаты определения фазового состава, включая аморфные фазы, позволили оценить теплопроводность оксидного слоя с помощью четырех известных аналитических моделей. Результаты расчета теплопроводности по модели Loeb показали хорошую сходимость с экспериментальными результатами, полученными в настоящей работе. Путем моделирования показано, что на теплопроводность оксидного слоя размер кристаллитов влияет существенно меньше пористости и аморфной фазы.</p></trans-abstract><kwd-group xml:lang="en"><kwd>plasma-electrolytic oxidation</kwd><kwd>hardening thermal barrier coating</kwd><kwd>aluminum alloy</kwd><kwd>silumin</kwd><kwd>porosity</kwd><kwd>image-based porosity analysis</kwd><kwd>pore size distribution</kwd><kwd>oxide layer thermal conductivity</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>плазменно-электролитическое оксидирование</kwd><kwd>упрочняющее термобарьерное покрытие</kwd><kwd>алюминиевый сплав</kwd><kwd>силумин</kwd><kwd>пористость</kwd><kwd>image-based анализ пористости</kwd><kwd>распределение пор по размерам</kwd><kwd>теплопроводность оксидного слоя</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The work was supported by the Ministry of Science and Higher Education of the Russian Federation (project FEMR-2020-0003). X-ray diffraction analysis and calculations of the quantitative phase composition and microstructure parameters were funded with the grant of the Russian Science Foundation (project No. 20-79-10262).</funding-statement><funding-statement xml:lang="ru">Работа выполнена при поддержке Министерства науки и высшего образования Российской Федерации (проект FEMR-2020-0003). Рентгеноструктурные исследования и расчеты количественного фазового состава и параметров микроструктуры выполнены за счет гранта Российского научного фонда (проект № 20-79-10262).</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Hegab A., Dahuwa K., Islam R., Cairns A., Khurana A., Shrestha S., Francis R. Plasma electrolytic oxidation thermal barrier coating for reduced heat losses in IC engines. Applied Thermal Engineering, 2021, vol. 196, article number 117316. 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