Acta Mechanica

, Volume 228, Issue 7, pp 2455–2470 | Cite as

Elasto-plastic bending of steel strip in a hot-dip galvanizing line

  • Michael BaumgartEmail author
  • Andreas Steinboeck
  • Martin Saxinger
  • Andreas Kugi
Open Access
Original Paper


A quasi-static model of axially moving steel strips in a continuous hot-dip galvanizing line is presented. The model provides the bending line of the strip and takes into account the history of elasto-plastic deformation. The numerical integration of the material model of elasto-plastic deformation is algorithmically separated from the solution of the boundary value problem of the bending line by pre-computing sets of one-dimensional candidate relations between the strip curvature and the bending moment. Using this model, the influence of different roll positions in the zinc bath on the mean displacement of the strip at the gas wiping dies and the maximum lateral curvature of the strip (crossbow) can be efficiently calculated and analyzed.



Open access funding provided by TU Wien (TUW). Financial support by the Austrian Federal Ministry of Science, Research and Economy, the National Foundation for Research, Technology and Development, and voestalpine Stahl GmbH is gratefully acknowledged. The second author gratefully acknowledges financial support provided by the Austrian Academy of Sciences in the form of an APART fellowship at the Automation and Control Institute of Vienna University of Technology.


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Copyright information

© The Author(s) 2017

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • Michael Baumgart
    • 1
    Email author
  • Andreas Steinboeck
    • 2
  • Martin Saxinger
    • 1
  • Andreas Kugi
    • 1
  1. 1.Christian Doppler Laboratory for Model-Based Control in the Steel Industry, Automation and Control InstituteVienna University of TechnologyViennaAustria
  2. 2.Automation and Control InstituteVienna University of TechnologyViennaAustria

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