, Volume 61, Issue 11–12, pp 934–942 | Cite as

Simulation of the Deformation of a Continuously Cast Ingot Depending on the Parameters of Mold Flux

  • M. P. Gusev
  • S. V. Zarubin
  • A. M. Longinov
  • K. N. Anisimov

We propose a mathematical model of the strained state of steel skin, which enables one to evaluate the initiation of transverse cracks in the ingots. The mathematical model is based on the equations of transient heat conduction, relations between the creep strains and stresses in the steel skin, and the integral balance equations. In our calculations, we use industrial data on the thermal work of the mold: the data of thermocouples mounted in the walls of the mold and the integral heat flux computed according to difference between the temperature of water at the inlet and outlet of the mold. The proposed mathematical model takes into account the thermal properties of mold fluxes, their influence on friction between the ingot and the mold, and the creep properties of cast steels as well as establishes the relationship between the parameters of the process of continuous casting and the appearance of transverse cracks in the steel skin. The results of numerical analysis of the limiting state of steel skin are in good agreement with the industrial data on the initiation of transverse cracks in the ingot.


continuous casting of steel limiting state stress-strain state of the ingot mold flux surface defects transverse cracks mold 


  1. 1.
    A. V. Kuklev and A. V. Leites, Practice of Continuous Casting of Steel, Metallurgizdat, Moscow (2011).Google Scholar
  2. 2.
    A. N. Smirnov et al., Processes of Continuous Casting, DonNTU, Donetsk (2002).Google Scholar
  3. 3.
    S. Harada et al., “A formation mechanism of transverse cracks on CC slab surface,” ISIJ Int., 30, No. 4, 310–316 (1990).CrossRefGoogle Scholar
  4. 4.
    S. A. Bortnikov, Contemporary Atlas of the Defects of Continuously Cast Blanks and the Causes of the Formation of Breaks in the Crystallized Metal Skin, Volgograd (2001).Google Scholar
  5. 5.
    K. N. Anisimov, A. M. Longinov, M. P. Gusev, and S. V. Zarubin, “Study of the influence of thermal characteristics of mold fluxes on the heat processes in the mold on the basis of mathematical simulations,” Stal, No. 8, 32–37 (2016).Google Scholar
  6. 6.
    K. N. Anisimov et al., “Investigation of the skull structure of mold fluxes in the mold and its influence on the development of macrosurface,” Stal, No. 7, 15–21 (2016).Google Scholar
  7. 7.
    P. F. Kozlowski, B. G. Thomas, J. A. Azzi, and H. Wang, “Simple constitutive equations for steel at high temperatures,” Metal. Trans., Ser. A, 23A, 903–918 (1992).CrossRefGoogle Scholar
  8. 8.
    V. S. Zarubin, Applied Problems of the Thermal Strength of Structural Elements, Mashinostroenie, Moscow (1985).Google Scholar
  9. 9.
    X.-D. Wang et al., “Prediction on lubrication and friction of mold flux based on inverse problem in a continuous slab casting process,” ISIJ Int., 54, No. 12, 2806–2812 (2014).CrossRefGoogle Scholar
  10. 10.
    J. W. Cho, et al., “Heat transfer across mold flux film in molt during initial solidification in continuous casting of steel,” ISIJ Int., 38, No. 8, 834–842 (1998).CrossRefGoogle Scholar
  11. 11.
    A. A. Makrushin, S. V. Zarubin, Yu. M. Aizin, et al., “Experience of operation of narrow walls of a slab mold with optimized shape of the working surface,” Stal, No. 5, 52–60 (2006).Google Scholar
  12. 12.
    X. Wang, L. Tang, X. Zang, and M. Yao, “Mold transient heat transfer behavior based on measurement and inverse analysis of slab continuous casting,” J. Mater. Proc. Technol., 212, 1811–1818 (2012).CrossRefGoogle Scholar
  13. 13.
    Y. Meng and B. G. Thomas, “Heat transfer and solidification model of continuous slab casting: CONID,” Metal. Mater. Trans., Ser. B., 34B, No. 5, 685–705 (2003).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • M. P. Gusev
    • 1
  • S. V. Zarubin
    • 2
  • A. M. Longinov
    • 3
  • K. N. Anisimov
    • 3
  1. 1.Skolkovo Institute of Science and TechnologiesMoscowRussia
  2. 2.Bauman Moscow State Technical University (BMSTU)MoscowRussia
  3. 3.Bardin Central Research Institute of Ferrous Metallurgy (TsNIIchermet)MoscowRussia

Personalised recommendations