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On the numerical treatment of bulging of continuously cast slabs

Zur numerischen Behandlung des Ausbauchens der Strangschale von Brammen

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Abstract

Bulging of continuously cast slabs can reduce the steel quality quite heavily. We present a numerical method for the calculation of the deformations and the stresses in a slab using a formulation of the governing equations in mixed Eulerian-Lagrangian coordinates. Due to the extreme nonlinearity of the material law, imbedding techniques are necessary to achieve convergence.

Zusammenfassung

Das Ausbauchen der Strangschale von Brammen kann die Stahlqualität erheblich herabsetzen. Wir präsentieren ein numerisches Verfahren zur Berechnung der Deformationen und der Spannungen in einer Bramme unter Verwendung einer gemischten Eulersch-Lagrangeschen Beschreibungsweise. Wegen der extremen Nichtlinearität des Werkstoffgesetzes sind Einbettungstechniken erforderlich, um Konvergenz zu erzielen.

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References

  1. Allen, M. B., Herrera, I., Pinder, G. F.: Numerical modeling in science and engineering. New York: Wiley & Sons 1988.

    Google Scholar 

  2. Ames, W. F.: Numerical methods for partial differential equations. New York: Academic Press 1977.

    Google Scholar 

  3. Barber, B., Lewis, B. A., Leckenby, B. M.: Finite-element analysis of strand deformation and strain distribution in solidifying shell during continuous slab casting. Ironmaking and Steelmaking12/4, 171–175 (1985).

    Google Scholar 

  4. Binder, A.: About two problems arising in continuous casting of steel, Doctoral thesis, Universität Linz, 1991. In: Dissertationen der Johannes Kepler-Universität Linz, Vol. 92. Wien: Verband der wissenschaftlichen Gesellschaften Österreichs 1992.

    Google Scholar 

  5. Binder, A., Engl, H. W., Scheidl, R.: Numerische Behandlung des Ausbauchenes der Strangschale von Gießsträngen. ZAMM71, T680-T681 (1991).

    Google Scholar 

  6. Duoming, L.: Berechnung der Ausbauchung beim Brammenstranggießen von Stahl. Steel research59, 301–307 (1988).

    Google Scholar 

  7. Engl, H. W.: Hansjörg Wacker (1939–1991). Computing46, 275–278 (1991).

    Google Scholar 

  8. Engl, H. W., Wacker, Hj., Zulehner, W. (eds.): Case studies in industrial mathematics. Stuttgart, Dordrecht: Teubner, Kluwer 1988.

    Google Scholar 

  9. Fekete, K. A.: Die Berechnung der durch den ferrostatischen Druck verursachten Spannungen und der maximalen Durchbiegung in der Kruste breiter Brammen. Radex-Rundschau3, 135–143 (1974).

    Google Scholar 

  10. Fletcher, R.: Practical methods of optimization, Vol. I. New York: Wiley 1980.

    Google Scholar 

  11. Grill, A., Schwerdtfeger, K.: Finite-element analysis of bulging produced by creep in continuously cast steel slabs. Ironmaking and Steelmaking3, 131–135 (1979).

    Google Scholar 

  12. Inoue, T., Wang, Z. G.: Thermal and mechanical fields in continuous casting slab—a steady state analysis incorporating solidification. Ingenieur-Archiv58, 265–275 (1988).

    Google Scholar 

  13. Krawietz, A., Tang, T.: Simulation von Umformvorgängen dünner Bleche auf Basis einer allgemeinen Euler-Lagrange-Formulierung. In: Proc. XVII Int. FEM Congress, Baden-Baden, 1989, 461–481.

  14. Lamant, J. Y., Larrecq, M., Birrat, J. P., Hensgen, J. L., Weber, J. D., Dhuyvetter, J. C.: Study of slab bulging in continuous caster. Proc. Int Conf. Continuous Casting '85 London, 1985, Paper 37.

  15. Lewis, B. A., Barber, B., Hill, N. J.: Boundary condition difficulties encountered in the simulation of bulging during the continuous casting of steel. Appl. Math. Modelling7, 274–277 (1983).

    Google Scholar 

  16. Louhenkilpi, S. (ed.): Continuous casting of steel (Teräksen jatkuvavalu) 1984–1989. Helsinki: TEKES (Technology Development Centre) 1990.

    Google Scholar 

  17. Malvern, L. E.: Introduction to the mechanics of a continuous medium. New Jersey: Prentice-Hall 1969.

    Google Scholar 

  18. Meis, Th., Marcowitz, U.: Numerische Behandlung partieller Differentialgleichungen. Berlin: Springer 1978.

    Google Scholar 

  19. Morita, Y., Kawashima, H., Nakamura, M.: Strain analysis on internal cracks in continuously cast steel slabs. The Sumitomo Search30, 19–30 (1985).

    Google Scholar 

  20. Odqvist, F. K. G.: Mathematical theory of creep and creep rupture, 2nd ed. London: Oxford University Press 1974.

    Google Scholar 

  21. Odqvist, F. K. G., Hult, J.: Kriechfestigkeit metallischer Werkstoffe. Berlin: Springer 1962.

    Google Scholar 

  22. Pietzko, G., Hellwig, E.: Strand shell strain and roller stresses as design criteria for roller aprons of continuous slab casters. Steel & Metals Magazine26/8, 674–681 (1988).

    Google Scholar 

  23. Pühringer O. M.: Strangmechanik für Brammenstranggießanlagen. Stahl und Eisen96, 279–284 (1976).

    Google Scholar 

  24. Truesdell, C.: A first course in rational continuum mechanics, Vol. I. London: Academic Press 1977.

    Google Scholar 

  25. Wacker, Hj. (ed.): Continuation methods. New York: Academic Press 1978.

    Google Scholar 

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Dedicated to the memory of Prof. Hansjörg Wacker

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Binder, A. On the numerical treatment of bulging of continuously cast slabs. Computing 49, 265–278 (1992). https://doi.org/10.1007/BF02238932

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