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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">blackmet</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений. Черная Металлургия</journal-title><trans-title-group xml:lang="en"><trans-title>Izvestiya. Ferrous Metallurgy</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0368-0797</issn><issn pub-type="epub">2410-2091</issn><publisher><publisher-name>National University of Science and Technology "MISIS"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/0368-0797-2025-4-366-371</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-2923</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>ИННОВАЦИИ В МЕТАЛЛУРГИЧЕСКОМ ПРОМЫШЛЕННОМ И ЛАБОРАТОРНОМ ОБОРУДОВАНИИ, ТЕХНОЛОГИЯХ И МАТЕРИАЛАХ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INNOVATIONS IN METALLURGICAL INDUSTRIAL AND LABORATORY EQUIPMENT, TECHNOLOGIES AND MATERIALS</subject></subj-group></article-categories><title-group><article-title>Расчет температуры и термоупругих напряжений в бойках при получении стальных полых заготовок на установке совмещенного литья и деформации. Часть 1</article-title><trans-title-group xml:lang="en"><trans-title>Calculation of temperature and thermoelastic stresses in strikers during production of hollow steel billets in a unit of combined casting and deformation. Part 1</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>Лехов</surname><given-names>О. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Lekhov</surname><given-names>O. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Олег Степанович Лехов, д.т.н., профессор кафедры инжиниринга и профессионального обучения в машиностроении и металлургии</p><p>Россия, 620012, Екатеринбург, ул. Машиностроителей, 11</p></bio><bio xml:lang="en"><p>Oleg S. Lekhov, Dr. Sci. (Eng.), Prof. of the Chair of Engineering and Vocational Training in Machinery and Metallurgy</p><p>11 Mashinostroitelei Str., Yekaterinburg 620012, Russian Federation</p></bio><email xlink:type="simple">MXLehov38@yandex.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>Билалов</surname><given-names>Д. Х.</given-names></name><name name-style="western" xml:lang="en"><surname>Bilalov</surname><given-names>D. Kh.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Дамир Харасович Билалов, доцент кафедры инжиниринга и профессионального обучения в машиностроении и металлургии</p><p>Россия, 620012, Екатеринбург, ул. Машиностроителей, 11</p></bio><bio xml:lang="en"><p>Damir Kh. Bilalov, Assist. Prof. of the Chair of Engineering and Vocational Training in Machinery and Metallurgy</p><p>11 Mashinostroitelei Str., Yekaterinburg 620012, Russian Federation</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Российский государственный профессионально-педагогический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Russian State Vocational Pedagogical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>22</day><month>08</month><year>2025</year></pub-date><volume>68</volume><issue>4</issue><fpage>366</fpage><lpage>371</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Лехов О.С., Билалов Д.Х., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Лехов О.С., Билалов Д.Х.</copyright-holder><copyright-holder xml:lang="en">Lekhov O.S., Bilalov D.K.</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://fermet.misis.ru/jour/article/view/2923">https://fermet.misis.ru/jour/article/view/2923</self-uri><abstract><p>В статье решается задача определения температуры калиброванных бойков установки совмещенного литья и деформации при получении стальных полых заготовок. Авторы обосновывают актуальность определения температурных полей и термоупругих напряжений в калиброванных бойках при обжатии стенки полой заготовки и на холостом ходу при охлаждении бойков водой, приводят прочностные и теплофизические свойства стали, из которой изготовлены бойки. Показана геометрия бойка для получения полой заготовки за один проход. Приводятся исходные данные для расчета температурного поля бойка установки совмещенного литья и деформации при получении полых заготовок, а также представлены температурные граничные условия для расчета температурных полей бойков. Статья описывает граничные условия для определения температуры бойка и значения теплового потока и эффективного коэффициента теплоотдачи. Результаты расчета температурных полей были выполнены в четырех сечениях для характерных линий и точек, расположенных на контактной поверхности бойка и в приконтактном слое на глубине 5 мм от рабочей поверхности. Размеры сетки конечных элементов приведены для использования при расчете температурного поля бойков. Температурное поле бойков с буртами определялось на основе решения уравнения нестационарной теплопроводности с соответствующими начальными и граничными условиями. Представлены величины и закономерности распределения температуры в калиброванном бойке при обжатии стенки полой заготовки и на холостом ходу при получении за один проход полой заготовки на установке совмещенного литья и деформации.</p></abstract><trans-abstract xml:lang="en"><p>The article solves the problem of determining the temperature of calibrated strikers in a unit of combined casting and deformation during production of hollow steel billets. The authors substantiate the relevance of determining temperature fields and thermoelastic stresses in calibrated strikers when compressing the wall of a hollow billet and at full speed when cooling the strikers with water, and describe the strength and thermophysical properties of the steel from which the strikers are made. Geometry of the striker for producing a hollow billet in one pass is shown. The paper considers the initial data and temperature boundary conditions for calculating the temperature field of the striker during production of hollow billets in a unit of combined casting and deformation. The boundary conditions are given to determine the striker temperature as well as the values of heat flow and effective heat transfer coefficient. The results of calculating the temperature fields are performed in four sections and are presented for cha­racteristic lines and points located on the striker contact surface and in the contact layer at a depth of 5 mm from the working surface. Dimensions of the finite element grid were used in calculating the temperature field of the strikers. The temperature field of the strikers with collars was determined based on solution of the unsteady thermal conductivity equation with the corresponding initial and boundary conditions. The values and patterns of temperature distribution in a calibrated striker are presented when the wall of a hollow billet is compressed and when a hollow billet is produced in one pass in a unit of combined casting and deformation.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>установка</kwd><kwd>калиброванные бойки</kwd><kwd>литье</kwd><kwd>деформация</kwd><kwd>кристаллизатор</kwd><kwd>полая заготовка</kwd><kwd>температурное поле</kwd><kwd>конечный элемент</kwd></kwd-group><kwd-group xml:lang="en"><kwd>installation</kwd><kwd>calibrated striker</kwd><kwd>casting</kwd><kwd>deformation</kwd><kwd>mold</kwd><kwd>hollow billet</kwd><kwd>temperature field</kwd><kwd>final element</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">Лехов О.С., Михалев А.В. Установка совмещенного процесса непрерывного литья и деформации для производства листов из стали для сварных труб. Теория и расчет. Екатеринбург: изд. УМЦ УПИ; 2017:151.</mixed-citation><mixed-citation xml:lang="en">Lekhov O.S., Mikhalev A.V. Unit of Combined Continuous Casting and Deformation for Production of Steel Sheets for Welded Pipes. Theory and Calculation. Yekaterinburg: UPI; 2017:151. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Лехов О.С., Михалев А.В., Шевелев М.М. Напряжения в системе бойки – полоса при получении листов из стали на установке непрерывного литья и деформации. Екатеринбург: изд. УМЦ УПИ; 2018:125.</mixed-citation><mixed-citation xml:lang="en">Lekhov O.S., Mikhalev A.V., Shevelev M.M. Stresses in the Striker–Strip System during Production of Steel Sheets at a Unit of Continuous Casting and Deformation. Yekaterinburg: UPI; 2018:125. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Лехов О.С., Билалов Д.Х. Технологические возможности установок совмещенных процессов непрерывного литья и деформации для производства металлопродукции. Производство проката. 2016;(7):24–26.</mixed-citation><mixed-citation xml:lang="en">Lekhov O.S., Bilalov D.Kh. Technological capabilities of installations for combined continuous casting and deformation processes for the production of metal products. Proizvodstvo prokata. 2016;(7):24–26. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Хлопонин В.Н., Косырева М.В., Косяк А.С. Влияние системы охлаждения на тепловые условия работы поверхностного слоя валка. В кн.: Труды МИСиС. Вып. 100. Москва: изд. МИСиС; 1977:90–93.</mixed-citation><mixed-citation xml:lang="en">Khloponin V.N., Kosyreva M.V., Kosyak A.S. Influence of cooling system on thermal operating conditions of roll surface layer. In: Proceedings of the MISIS. Issue 100. Moscow: MISiS; 1977:90–93. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Боли Б., Уэйнер Дж. Теория температурных напряжений. Москва: Мир; 1976:349.</mixed-citation><mixed-citation xml:lang="en">Boley B.A., Weiner J.H. Theory of Thermal Stresses. New York: John Wiley &amp; Sons; 1960:586.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Лехов О.С. Исследование напряженно-деформированного состояния системы валки – полоса при прокатке широкополочной балки в клетях универсально-балочного стана. Сообщение 2. Известия вузов. Черная металлургия. 2014;57(12):15–19. https://doi.org/10.17073/0368-0797-2014-12-15-19</mixed-citation><mixed-citation xml:lang="en">Lekhov O.S. Study of stress-strain state of rolls-band system at rolling of broad-flanged beam in stands of universal beam mill. Report 2. Izvestiya. Ferrous Metallurgy. 2014;57(12):15–19. (In Russ.). https://doi.org/10.17073/0368-0797-2014-12-15-19</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Кушнер В.С., Верещака А.С., Схиртладзе А.Г., Негров Д.А. Технологические процессы в машиностроении Ч. II. Обработка металлов давлением и сварочное производство. Омск: изд. ОмГТУ; 2005:200.</mixed-citation><mixed-citation xml:lang="en">Kushner V.S., Vereshchaka A.S., Skhirtladze A.G., Neg­rov D.A. Technological Processes in Mechanical Engineering. Part II. Metal Forming and Welding Production. Omsk: OmSTU; 2005:200. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Буланов Л.В., Карлинский С.Е., Волегова В.Е. Долговечность роликов МНЛЗ при наружном и внутреннем охлаждении. В кн.: Надежность крупных машин. Сб. науч. тр. НИИтяжмаш. Свердловск: изд. НИИтяжмаш; 1990:126–132.</mixed-citation><mixed-citation xml:lang="en">Bulanov L.V., Karlinskii S.E., Volegova V.E. Durability of casters for external and internal cooling. In: Reliability of Large Machines. Collection of Sci. Papers. NIItyazhmash. Sverdlovsk: NIItyazhmash; 1990:126–132. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Лыков А.В. Теория теплопроводности. Москва: Высшая школа, 1967:600.</mixed-citation><mixed-citation xml:lang="en">Lykov A.V. Theory of Thermal Conductivity. Moscow: Vysshaya shkola; 1967:600. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">ANSYS. Structural Analysis Guide. Rel. 15.0.</mixed-citation><mixed-citation xml:lang="en">ANSYS. Structural Analysis Guide. Rel. 15.0.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Matsumia Т., Nakamura Y. Mathematical model of slab bulging during continuous casting. In: Applied Mathematical, and Physical Models in Iron and Steel Industry: Proceedings of the 3rd Process. Tech. Conf., Pittsburgh, Pa, 28-31 March 1982. New York; 1982:264–270.</mixed-citation><mixed-citation xml:lang="en">Matsumia Т., Nakamura Y. Mathematical model of slab bulging during continuous casting. In: Applied Mathematical, and Physical Models in Iron and Steel Industry: Proceedings of the 3rd Process. Tech. Conf., Pittsburgh, Pa, 28-31 March 1982. New York; 1982:264–270.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Takashima Y., Yanagimoto I. Finite element analysis of flange spread behavior in H-beam universal rolling. Steel Research International. 2011;82(10):1240–1247. https://doi.org/10.1002/srin.201100078</mixed-citation><mixed-citation xml:lang="en">Takashima Y., Yanagimoto I. Finite element analysis of flange spread behavior in H-beam universal rolling. Steel Research International. 2011;82(10):1240–1247. https://doi.org/10.1002/srin.201100078</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Kobayashi S., Oh S.-I., Altan T. Metal Forming and Finite-Element Method. New York: Oxford University Press; 1989:377.</mixed-citation><mixed-citation xml:lang="en">Kobayashi S., Oh S.-I., Altan T. Metal Forming and Finite-Element Method. New York: Oxford University Press; 1989:377.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Karrech A., Seibi A. Analytical model of the expansion in of tubes under tension. Journal of Materials Processing Technology. 2010;210:336–362.</mixed-citation><mixed-citation xml:lang="en">Karrech A., Seibi A. Analytical model of the expansion in of tubes under tension. Journal of Materials Processing Technology. 2010;210:336–362.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Kazakov A.L., Spevak L.F. Numeral and analytical studies of nonlinear parabolic equation with boundary conditions of a special form. Applied Mathematical Modelling. 2013; 37(10-13):6918–6928. https://doi.org/10.1016/j.apm.2013.02.026</mixed-citation><mixed-citation xml:lang="en">Kazakov A.L., Spevak L.F. Numeral and analytical studies of nonlinear parabolic equation with boundary conditions of a special form. Applied Mathematical Modelling. 2013; 37(10-13):6918–6928. https://doi.org/10.1016/j.apm.2013.02.026</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Jansson N. Optimized sparse matrix assembly in finite element solvers with one-sided communication. In: High Performance Computing for Computational Science – VECPAR 2012. Berlin, Heidelberg: Springer; 2013:128–139.</mixed-citation><mixed-citation xml:lang="en">Jansson N. Optimized sparse matrix assembly in finite element solvers with one-sided communication. In: High Performance Computing for Computational Science – VECPAR 2012. Berlin, Heidelberg: Springer; 2013:128–139.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Park C.Y., Yang D.Y. A study of void crushing in large forgings II. Estimation of bonding efficiency by finite-element analysis. Journal of Materials Processing Technology. 1997;72(1):32-41.</mixed-citation><mixed-citation xml:lang="en">Park C.Y., Yang D.Y. A study of void crushing in large forgings II. Estimation of bonding efficiency by finite-element analysis. Journal of Materials Processing Technology. 1997;72(1):32-41.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Sorimachi K., Emi T. Elastoplastic stress analysis of bulging as a major cause of internal cracks in continuously cast slabs. Tetsu-to-Hagane. 1977;63(8):1297–1304. https://doi.org/10.2355/tetsutohagane1955.63.8_1297</mixed-citation><mixed-citation xml:lang="en">Sorimachi K., Emi T. Elastoplastic stress analysis of bulging as a major cause of internal cracks in continuously cast slabs. Tetsu-to-Hagane. 1977;63(8):1297–1304. https://doi.org/10.2355/tetsutohagane1955.63.8_1297</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Marciniak Z., Duncan J.L., Hu S.J. Mechanics of Sheet Me­tal Forming. Oxford: Butterworth-Heinemann Elsevier Ltd.; 2002:228.</mixed-citation><mixed-citation xml:lang="en">Marciniak Z., Duncan J.L., Hu S.J. Mechanics of Sheet Me­tal Forming. Oxford: Butterworth-Heinemann Elsevier Ltd.; 2002:228.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Fujii H., Ohashi T., Hiromoto T. On the formation of the internal cracks in continuously cast slabs. Tetsu-to-Hagane. 1978;18(8): 510–518. https://doi.org/10.2355/tetsutohagane1955.62.14_1813</mixed-citation><mixed-citation xml:lang="en">Fujii H., Ohashi T., Hiromoto T. On the formation of the internal cracks in continuously cast slabs. Tetsu-to-Hagane. 1978;18(8): 510–518. https://doi.org/10.2355/tetsutohagane1955.62.14_1813</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>
