Norton-Hoff model for deformation of growing solid shell of thin slab casting in funnel-shape mold

Alexander Vakhrushev, Abdellah Kharicha, Menghuai Wu, Andreas Ludwig, Gerald Nitzl, Yong Tang, Gernot Hackl, Josef Watzinger, Christian M.G. Rodrigues

Research output: Contribution to journalArticleResearchpeer-review


A funnel-type mold is commonly used to provide necessary clearance for the submerged entry nozzle in the thin slab casting (TSC). The partially solidified shell is subjected to the mechanical deformations, which can lead to the defects formation and, as a results, to a breakout. Traditionally, the results of the flow simulation, performed by the finite volume method (FVM), are fed to the external package for the finite element analysis of stress and strain. A coupled model was assembled using “creeping solid” approach by blending the Norton-Hoff viscoplastic stress for the solidifying shell with the Newtonian viscous stress of the liquid melt. The FVM was used to combine both liquid and solid stress models within a single solver. The iterative procedure based on the improved both side diffusion method was introduced to treat the nonlinear relation between the viscoplastic stress and the strain rate. The modeled shell thickness was verified by previously published breakout measurements and the simulation results. Temperature distribution, obtained during the TSC simulation, dominantly corresponds to the viscoplastic range. Developed numerical approach is robust and has direct industrial application.
Original languageEnglish
Pages (from-to)88-102
Number of pages15
JournalJournal of iron and steel research international
Issue number1
Publication statusPublished - 23 Mar 2022

Bibliographical note

Publisher Copyright: © 2022, The Author(s).


  • Continuous casting
  • Improved both side diffusion method
  • Norton-Hoff model
  • OpenFOAM
  • Solid shell
  • Solidification
  • Thin slab
  • Viscoplastic stress

Cite this