{"id":6315,"date":"2026-05-31T02:26:13","date_gmt":"2026-05-30T23:26:13","guid":{"rendered":"https:\/\/jrn.isi.gov.ua\/?page_id=6315"},"modified":"2026-06-01T15:42:18","modified_gmt":"2026-06-01T12:42:18","slug":"doi-10-52150-2522-9117-2026-40-006","status":"publish","type":"page","link":"https:\/\/jrn.isi.gov.ua\/?page_id=6315&lang=en","title":{"rendered":"DOI: 10.52150\/2522-9117-2026-40-006"},"content":{"rendered":"\n

S. O. Fedoriachenko<\/strong>1,*<\/sup>, Ph. D. (Tech.), Associate Professor, ORCID 0000-0002-8512-3493
K. A. Ziborov<\/strong>1<\/sup>, Ph. D. (Tech.), Associate Professor, ORCID 0000-0002-4828-3762
D. V. Laukhin<\/strong>1<\/sup>, D. Sc. (Tech.)., Professor, ORCID 0000-0002-9842-499X
O. V. Shvets<\/strong>2<\/sup>, Ph. D. (Tech.), ORCID 0009-0005-4871-4402
V. M. Korol<\/strong>1<\/sup>, <\/strong>Ph. D. Student, ORCID 0009-0004-6433-1797
D. V. Harkavenko<\/strong>1<\/sup>, Ph. D. Student, ORCID 0009-0004-5011-9015<\/p>\n\n\n\n

1 <\/sup>Dnipro University of Technology<\/em>
2 <\/sup>Ukrainian State University of Science and Technologies<\/em>
* <\/sup>Corresponding author: fedoriachenko.s.o@nmu.one<\/em><\/p>\n\n\n\n

COMPUTATIONAL ALGORITHM FOR EVALUATING
THE FRACTURE TOUGHNESS OF STEEL CASTINGS BASED
ON THERMOHYDRODYNAMIC SIMULATIONS<\/h2>\n\n\n\n

Abstract.<\/strong> The paper presents a scientifically substantiated approach to predicting and controlling the fracture toughness of cast steel shells based on the integration of thermohydrodynamic solidification modeling with micro-scale phase transformation models. It is demonstrated that the reliability and durability of castings are directly determined by the controllability of the microstructural state formed during crystallization and subsequent cooling. Despite significant progress in modeling the thermal and hydrodynamic processes of casting, practical quality assessment still largely relies on testing, which increases production costs and does not guarantee reproducibility of properties. To overcome these limitations, a postprocessor module for the Thercast system is proposed, capable of combining the results of numerical analysis of temperature fields with physically based models of microstructure evolution and defect formation criteria. The developed approach enables the prediction of key microstructural parameters from thermal fields and phase composition and reflects their influence on porosity and the predicted mechanical properties of the material. The resulting maps of phase composition and porosity are transformed into spatio-temporal fields of effective yield strength and fracture toughness, allowing subsequent verification using the finite element method. The methodology is based on thermokinetic models of phase transformations, including the Andrews equation to determine the martensite start temperature, the Koistinen-Marburger relationship to estimate the fraction of martensite, and the generalized Johnson-Mehl-Avrami-Kolmogorov model to describe diffusion-controlled transformations. The applied relationships retain clear physical interpretation and can be adapted using thermokinetic diagrams of specific heats, which simplifies their calibration for different steel grades. The practical significance of this work lies in the transition from experimental evaluation to preliminary property prediction directly at the design stage. The developed software module, integrated into Thercast, provides the capability to perform finite element analyses for assessing the mechanical performance and fracture toughness of cast steel components.<\/s><\/p>\n\n\n\n

Key words: <\/strong>microporosity, cast alloys, mechanical\u2013mathematical modeling, fracture toughness, Thercast.<\/p>\n\n\n\n

For citation:<\/strong> Fedoriachenko, S. O., Ziborov, K. A., Laukhin, D. V., Shvets, O. V., Korol, V. M., & Harkavenko, D. V. (2026). Computational algorithm for evaluating the fracture toughness of steel castings based on thermohydrodynamic simulations. Fundamental and applied problems of ferrous metallurgy<\/em>, 40, 98-109. https:\/\/doi.org\/10.52150\/2522-9117-2026-40-006<\/a><\/p>\n\n\n\n

References<\/strong><\/p>\n\n\n\n

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  5. Ostash, O. P., Kulyk, V. V., Poznyakov, V. D., Haivoronskyi, O. A., & Vira, V. V. (2018). Effect of heat treatment regimes on the strength and cyclic fracture toughness of 65G steel. Physicochemical Mechanics of Materials, 54<\/em>(6), 24-29<\/li>\n\n\n\n
  6. Jon\u0161ta, P., Kurka, V., & coauthors. (2022, January). Casting and solidification simulation of 65 t steel ingot in Thercast software. In: Proceedings of the 31st International Conference on Metallurgy and Materials \u2014 METAL 2022<\/em> (pp. 1-6). Ostrava: TANGER Ltd. https:\/\/doi.org\/10.37904\/metal.2022.4452<\/a><\/li>\n\n\n\n
  7. Todoroki, H., Oikawa, M., Wang, K., Kobayashi, Y., & Ishii, T. (2008). Prospects for the control of solidification structures from the viewpoints of weld, hot-workability and near net shape casting. ISIJ International, 48<\/em>(3), 256-263. https:\/\/doi.org\/10.2355\/isijinternational.48.256<\/a><\/li>\n\n\n\n
  8. Andrews, P. V. (1965). Resistivity due to grain boundaries in pure copper. Physics Letters<\/em>, 19(7), 558-560, https:\/\/doi.org\/10.1016\/0031-9163(65)90776-6<\/a><\/li>\n<\/ol>\n\n\n\n

    \u0420\u0443\u043a\u043e\u043f\u0438\u0441 \u043d\u0430\u0434\u0456\u0439\u0448\u043e\u0432 \u0434\u043e \u0440\u0435\u0434\u0430\u043a\u0446\u0456\u0457 \/ Received  12.11.2025<\/em>
    \u0420\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u043e\u0432\u0430\u043d\u043e \u0434\u043e \u0434\u0440\u0443\u043a\u0443 \/ Accepted 28.05.2026<\/em>
    \u041e\u043f\u0443\u0431\u043b\u0456\u043a\u043e\u0432\u0430\u043d\u043e \/ Published 30.05.2026<\/em><\/p>\n\n\n\n

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    S. O. Fedoriachenko1,*, Ph. D. (Tech.), Associate Professor, ORCID 0000-0002-8512-3493K. A. Ziborov1, Ph. D. (Tech.), Associate Professor, ORCID 0000-0002-4828-3762D. V. Laukhin1, D. Sc. (Tech.)., Professor, ORCID 0000-0002-9842-499XO. V. Shvets2, Ph. D. (Tech.), ORCID 0009-0005-4871-4402V. M. Korol1, Ph. D. Student, ORCID 0009-0004-6433-1797D. V. Harkavenko1, Ph. D. Student, ORCID 0009-0004-5011-9015 1 Dnipro University of Technology2 Ukrainian State University of […]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-6315","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/pages\/6315","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6315"}],"version-history":[{"count":2,"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/pages\/6315\/revisions"}],"predecessor-version":[{"id":6919,"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/pages\/6315\/revisions\/6919"}],"wp:attachment":[{"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6315"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}