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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">10.17073/0368-0797-2024-4-463-470</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-2770</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>Напряженно-деформированное состояние керамической оболочковой формы при формировании в ней стальной шарообразной отливки. Часть 2</article-title><trans-title-group xml:lang="en"><trans-title>Stress-strain state of ceramic shell mold during formation of spherical steel casting in it. Part 2</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0200-1675</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Одиноков</surname><given-names>В. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Odinokov</surname><given-names>V. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Валерий Иванович Одиноков, д.т.н., профессор, главный научный сотрудник Управления научно-исследовательской деятельностью</p><p>Россия, 681013, Хабаровский край, Комсомольск-на-Амуре, пр. Ленина, 27</p></bio><bio xml:lang="en"><p>Valerii I. Odinokov, Dr. Sci. (Eng.), Prof., Chief Researcher of the Department of Research Activities</p><p>27 Lenina Ave., Komsomolsk-on-Amur, Khabarovsk Territory 681013, Russian Federation</p></bio><email xlink:type="simple">79122718858@yandex.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/0000-0002-9594-4068</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Евстигнеев</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Evstigneev</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алексей Иванович Евстигнеев, д.т.н., профессор, главный научный сотрудник Управления научно-исследовательской деятельностью</p><p>Россия, 681013, Хабаровский край, Комсомольск-на-Амуре, пр. Ленина, 27</p></bio><bio xml:lang="en"><p>Aleksei I. Evstigneev, Dr. Sci. (Eng.), Prof., Chief Researcher of the Department of Research Activities</p><p>27 Lenina Ave., Komsomolsk-on-Amur, Khabarovsk Territory 681013, Russian Federation</p></bio><email xlink:type="simple">diss@knastu.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/0000-0001-8023-316X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дмитриев</surname><given-names>Э. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Dmitriev</surname><given-names>E. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Эдуард Анатольевич Дмитриев, д.т.н., доцент, ректор</p><p>Россия, 681013, Хабаровский край, Комсомольск-на-Амуре, пр. Ленина, 27</p></bio><bio xml:lang="en"><p>Eduard A. Dmitriev, Dr. Sci. (Eng.), Assist. Prof., Rector</p><p>27 Lenina Ave., Komsomolsk-on-Amur, Khabarovsk Territory 681013, Russian Federation</p></bio><email xlink:type="simple">rector@knastu.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/0009-0003-9269-7713</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Намоконов</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Namokonov</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Александр Николаевич Намоконов, аспирант</p><p>Россия, 681013, Хабаровский край, Комсомольск-на-Амуре, пр. Ленина, 27</p></bio><bio xml:lang="en"><p>Aleksandr N. Namokonov, Postgraduate</p><p>27 Lenina Ave., Komsomolsk-on-Amur, Khabarovsk Territory 681013, Russian Federation</p></bio><email xlink:type="simple">namokonovsasha@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/0000-0003-0667-2468</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Евстигнеева</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Evstigneeva</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Анна Алексеевна Евстигнеева, студент</p><p>Россия, 681013, Хабаровский край, Комсомольск-на-Амуре, пр. Ленина, 27</p></bio><bio xml:lang="en"><p>Anna A. Evstigneeva, Student</p><p>27 Lenina Ave., Komsomolsk-on-Amur, Khabarovsk Territory 681013, Russian Federation</p></bio><email xlink:type="simple">annka.ewstic@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/0000-0001-5142-2455</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чернышова</surname><given-names>Д. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Chernyshova</surname><given-names>D. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Дарья Витальевна Чернышова, аспирант</p><p>Россия, 681013, Хабаровский край, Комсомольск-на-Амуре, пр. Ленина, 27</p></bio><bio xml:lang="en"><p>Dar’ya V. Chernyshova, Postgraduate</p><p>27 Lenina Ave., Komsomolsk-on-Amur, Khabarovsk Territory 681013, Russian Federation</p></bio><email xlink:type="simple">daracernysova744@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Комсомольский-на-Амуре государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Komsomolsk-na-Amure State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>01</day><month>09</month><year>2024</year></pub-date><volume>67</volume><issue>4</issue><fpage>463</fpage><lpage>470</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Одиноков В.И., Евстигнеев А.И., Дмитриев Э.А., Намоконов А.Н., Евстигнеева А.А., Чернышова Д.В., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Одиноков В.И., Евстигнеев А.И., Дмитриев Э.А., Намоконов А.Н., Евстигнеева А.А., Чернышова Д.В.</copyright-holder><copyright-holder xml:lang="en">Odinokov V.I., Evstigneev A.I., Dmitriev E.A., Namokonov A.N., Evstigneeva A.A., Chernyshova D.V.</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/2770">https://fermet.misis.ru/jour/article/view/2770</self-uri><abstract><p>В статье приведены результаты численного решения задачи по моделированию процесса возможного трещинообразования в оболочковой форме (ОФ) шарообразной конфигурации при заливке в нее жидкой стали и охлаждении затвердевающей отливки. Численная схема осесимметричной задачи и алгоритм решения были приведены в части 1. Трещиностойкость оценивается по величине нормальных напряжений в керамической ОФ в процессе ее совместного охлаждения с затвердевающей отливкой. При детальном анализе результатов были учтены поля перемещений, напряжений, температур как в сферической ОФ, так и в нарастающей корочке затвердевшего металла. При решении учитывалось изменение модуля сдвига материала формы от температуры, и была дана оценка этого уточнения. Задачу решали двумя способами. Первый – с постоянным модулем сдвига ОФ; второй – с модулем сдвига ОФ, зависящим от температуры. Между этими вариантами есть существенная разница в величине нормальных напряжений, возникающих в ОФ. Авторы проанализировали стойкости ОФ сферической геометрии от внешних воздействий со стороны опорного наполнителя (ОН) оболочковой формы и заливочной воронки. Была решена задача по определению контактной и свободной поверхностей на границе ОФ и ОН. Результаты решения задачи представлены графически в виде эпюр напряжений, температур по исследуемой области в разных ее сечениях и временных интервалах охлаждения ОФ и нарастающей корочки металла. Показана роль сжимающих нормальных напряжений σ22 , σ33 на поверхности соприкосновения ОФ с жидким металлом в начальный момент охлаждения на вероятность трещинообразования в сферической форме. Уровень напряженно-деформированного состояния в сферической ОФ при охлаждении в ней стальной отливки существенно определяется зависимостью модуля сдвига ОФ от температуры.</p></abstract><trans-abstract xml:lang="en"><p>The paper presents the results of numerical calculations of the solution to the problem of modeling the process of possible cracking in a spherical shell mold when pouring liquid steel into it and cooling the solidifying casting. The numerical scheme of the axisymmetric problem and the algorithm for its solution were given in Part 1. The crack resistance is estimated by magnitude of the normal stresses in the ceramic shell during its co-cooling with a solidifying casting. The results detailed analysis considered: fields of displacement, stresses, and temperatures both on spherical surface and in growing crust of solidified metal. The solution took into account the change in the shear modulus of the mold material from temperature, and an assessment of this refinement was given. The problem was solved in two ways. The first – with a constant shift modulus of the shell mold; the second – with its temperature-dependent shift modulus. There is a significant difference between these variants in terms of magnitude of the normal stresses arising in the shell mold. The authors analyzed resistance of the shell mold spherical geometry to external influences from its support filler and filling funnel. The problem of determining the contact and free surfaces at the boundary of the shell mold and support filler was solved. The results are presented graphically in the form of diagrams of stresses and temperatures over the studied area in its different sections and time intervals for cooling of the growing metal crust. The role of compressive normal stresses σ22 , σ33 on the surface of contact of the shell mold with liquid metal at the initial moment of cooling on probability of cracking in a spherical mold is shown. The level of strain-stress state in a spherical shell mold when cooling a steel casting in it is significantly determined by dependence of shift modulus of the shell mold on temperature.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>литье по выплавляемым моделям</kwd><kwd>оболочковая форма</kwd><kwd>напряженное состояние</kwd><kwd>моделирование</kwd><kwd>трещинообразование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>investment casting</kwd><kwd>shell mold</kwd><kwd>stressed state</kwd><kwd>modeling</kwd><kwd>cracking</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено за счет гранта Российского фонда № 24-29-00214, https://rscf.ru/project/24-29-00214/.</funding-statement><funding-statement xml:lang="en">The research was supported by the Russian Science Foundation, grant No. 24-29-00214, https://rscf.ru/project/24-29-00214/.</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">Bansode S.N., Phalle V.M., Mantha S.S. 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