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An Eulerian-Lagrangian Concept for the Numerical Simulation of Flat Steady-State Hot Rolling Processes

  1. Josef Synka1,*,
  2. Alexander Kainz2,†

Article first published online: 24 NOV 2004

DOI: 10.1002/pamm.200410096

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PAMM

PAMM

Volume 4, Issue 1, pages 229–230, December 2004

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How to Cite

Synka, J. and Kainz, A. (2004), An Eulerian-Lagrangian Concept for the Numerical Simulation of Flat Steady-State Hot Rolling Processes. Proc. Appl. Math. Mech., 4: 229–230. doi: 10.1002/pamm.200410096

Author Information

  1. 1

    Institute for Industrial Mathematics, Johannes Kepler University, Linz, Austria

  2. 2

    Institute for CA-Methods in Mechanical Engineering, Johannes Kepler University, Linz, Austria

  1. †

    Phone: +43 732 2468 9705, Fax: +43 732 2468 9700

*Phone: +43 732 2468 9226, Fax: +43 732 2468 8855

Publication History

  1. Issue published online: 24 NOV 2004
  2. Article first published online: 24 NOV 2004

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Abstract

For the finite element analysis of stationary flat hot rolling processes, a new and efficient mathematical model was developed. The method is based on an intermediary Eulerian-Lagrangian concept, where an Eulerian coordinate is employed in the rolling direction, while Lagrangian coordinates are used in the direction of the thickness and width of the strip. This approach yields an efficient algorithm, where the time is eliminated as an independent variable in the steady-state case. Further, the vector of independent field variables consists of a velocity component in Eulerian and of displacement components in Lagrangian directions. Due to this concept, the free surface deformations can be accounted for directly and the problems encountered with pure Eulerian or Lagrangian models now appear with reduced complexity and can thus be tackled more easily. The general formalism was applied to different practical hot rolling situations, ranging from thick slabs to ultra-thin hot strips. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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