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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">10.26896/1028-6861-2021-87-3-64-75</article-id><article-id custom-type="elpub" pub-id-type="custom">zldm-1388</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 МЕТОДЫ ИССЛЕДОВАНИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICAL METHODS OF INVESTIGATION</subject></subj-group></article-categories><title-group><article-title>Применение математических методов для исследования температурно-временных условий процесса дуговой наплавки при изготовлении сталеалюминиевых композиций</article-title><trans-title-group xml:lang="en"><trans-title>Using of mathematical methods in the study of temperature-time conditions of the arc surfacing upon manufacturing of steel-aluminum compositions</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>Михеев</surname><given-names>Р. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Mikheev</surname><given-names>R. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Роман Сергеевич Михеев</p><p>105005, Москва, 2-я Бауманская ул., д. 5, стр. 1</p></bio><bio xml:lang="en"><p>Roman S. Mikheev</p><p>5, 2-ya Baumanskaya ul., Moscow, 105005</p></bio><email xlink:type="simple">mikheev.roman@mail.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>Калашников</surname><given-names>И. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Kalashnikov</surname><given-names>I. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Игорь Евгеньевич Калашников</p><p>119334, Москва, Ленинский пр-т, 49</p></bio><bio xml:lang="en"><p>Igor E. Kalashnikov</p><p>49, Leninskii prosp., Moscow, 119334</p></bio><email xlink:type="simple">kalash2605@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский государственный технический университет имени Н. Э. Баумана (национальный исследовательский университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>N. É. Bauman Moscow State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт металлургии и материаловедения им. А. А. Байкова РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>A. A. Baikov Institute of Metallurgy and Materials Science, Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>20</day><month>03</month><year>2021</year></pub-date><volume>87</volume><issue>3</issue><fpage>64</fpage><lpage>75</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Михеев Р.С., Калашников И.Е., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Михеев Р.С., Калашников И.Е.</copyright-holder><copyright-holder xml:lang="en">Mikheev R.S., Kalashnikov I.E.</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/1388">https://www.zldm.ru/jour/article/view/1388</self-uri><abstract><p>Разработана и верифицирована математическая модель для исследования температурно-временных условий процесса дуговой наплавки при изготовлении сталеалюминиевых композиций. При моделировании в базу данных программного комплекса «СВАРКА» добавляли зависимости теплофизических свойств (теплопроводности и теплоемкости единицы массы вещества при постоянных давлении и объеме) исследуемых материалов от температуры нагрева. Геометрическую модель объекта при моделировании процесса дуговой наплавки задавали в виде единого тела, которое, например, в случае формирования функциональных покрытий на основе цветных сплавов на стальных основаниях, может состоять из различных материалов. Параметрами тепловых нагрузок источника нагрева являются: скорость движения, мощность, распределение вдоль и поперек шва, а также наличие и марка наплавочного материала. Расчет распространения тепла для процесса аргонодуговой наплавки неплавящимся электродом проводили по схеме с нормально-круговым источником, расположенным на поверхности плоского слоя и испытывающим ограничивающее влияние нижней плоскости листа. Выбранная расчетная схема отражает все основные особенности процесса аргонодуговой наплавки, в число которых входят: введение тепла сварочной дуги в массивное тело с его поверхности; малая величина давления сварочной дуги; незначительное погружение активного пятна дуги в жидкий металл. Показано, что за счет учета теплофизических свойств интерметаллидного слоя системы Fe – Al, расположенного в диффузионной зоне, математическая модель позволяет с неопределенностью не более 8 % определять температуру нагрева не только на границе раздела сталь – алюминий, но и в любой точке образцов как при соединении переходных биметаллических сталеалюминиевых элементов с алюминиевыми или стальными конструкциями, так и при формировании методами наплавки функциональных алюминиевых покрытий, в том числе из композиционных материалов.</p></abstract><trans-abstract xml:lang="en"><p>A mathematical model for studying temperature-time conditions of arc surfacing upon manufacturing of steel-aluminum compositions has been developed and verified. During simulation, the dependences of the thermophysical properties of the materials under study (thermal conductivity and heat capacity of a unit mass of the substance at constant pressure and volume) on the heating temperature were added to the database of the «SVARKA» software to solve the thermal problem. When simulating the arc surfacing, the geometric model of the object was set in the form of a single body, which, e.g., in case of formation of functional coatings based on non-ferrous alloys on steel substrates, can consist of various materials. The parameters of the heat loads of the heating source are: the advance speed, power, distribution along and across the weld, as well as the presence and grade of the filler material. The calculation of heat propagation upon argon-arc surfacing with a non-consumable electrode was carried out according to the scheme with a normal-circular heat source located on the surface of a flat layer with the limiting effect of the bottom plane of the sheet. The considered calculation scheme includes all the main features of the argon-arc surfacing process, i.e., introduction of the heat of the welding arc into a massive body from the surface; small pressure of the welding arc; slight immersion of the active arc spot in the liquid metal. It is shown that allowance for the thermophysical properties of the intermetallic layer of the Fe – Al system located in the diffusion zone, provided determination of the heating temperature with the uncertainty of no more than 8 % not only at the steel-aluminum interface, but also at any point of the samples both in the transitional bimetallic steel-aluminum elements joined with aluminum or steel structures, and in functional aluminum coatings formed by surfacing, including those made of composite materials.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>сталеалюминиевые композиции</kwd><kwd>дуговая наплавка</kwd><kwd>математическая модель</kwd><kwd>температурно-временные условия</kwd></kwd-group><kwd-group xml:lang="en"><kwd>steel-aluminum compositions</kwd><kwd>arc surfacing process</kwd><kwd>mathematical model</kwd><kwd>temperature-time conditions</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнялась по государственному заданию № 075-00947-20-00.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Рябов В. 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