Skip to main content
Log in

Coupled and uncoupled approaches for thin cold rolled strip buckling prediction

  • Sheet metal forming: Ph. Picart, T. Meinders, T. Welo
  • Published:
International Journal of Material Forming Aims and scope Submit manuscript

Abstract

Severe thin strip cold rolling conditions usually induce heterogeneity of in-bite plastic deformation always translated to irregular stress field. This stress field may dwell sufficiently compressive in several out-of-bite areas to cause buckling (flatness defects) which generates stress reorganisation in rolled strip and probably affects the bite zone. Hence, out-of-bite buckling, in-bite elastic-(visco)plastic deformation and thermo-mechanical roll-stack/strip interaction may be strongly coupled. However, a completely coupled model providing realistic rolled strip shape specially when flatness defects occur is not easy to establish. This call for two ways of flatness defect modelling in thin strip rolling: with a completely coupled approach but using a simple buckling criterion, or using an uncoupled approach by chaining strip rolling model calculation with shell element models presenting good buckling computing capabilities. Our objective is the improvement of the flat product rolling - specialized FEM software Lam3/Tec3 [1] using Counhaye simple buckling criterion [3] and Asymptotic Numerical Method (ANM) for shell element model [9, 10] respectively with coupled and uncouple approaches detailed in the present paper. These two approaches bring computed stress profiles to very good agreement with experiments and the most important result at this stage is the weak influence of buckling on in-bite stress and strain fields providing a more rigorous justification of the traditional decoupled methods [2,5-8].

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Hacquin A, Montmitonnet P, Guilleraut JP (1998) A steady state thermo-elastoviscoplastic finite element model of rolling whith coupled thermo-elastic roll deformation. J Mater Process Technol 60:109–116

    Article  Google Scholar 

  2. H. Marchand (2000) Modélisation de la planéité en sortie de laminage des produits plats (Modelling flatness in flat rolling). PhD Thesis, Ecole des Mines de Faris

  3. Counhaye C. Modélisation et contrôle industriel de la géométrie des aciers laminés à froid (modelling and industrial control of the geometry of cold rolled steels). PhD Thesis, Université de Liège, 2000.

  4. Abdelkhalek S, Monmitonnet P, Legrand N, Buessler P (2008) Manifested flatness predictions in thin strip cold rolling. In 11th ESAFORM conference forging and rolling

  5. Tosawa Y (1984) Analysis of three dimensional deformation in strip rolling taken deformation of rolls into consideration. Advanced technology of plasticity 2:1151–1160

    Google Scholar 

  6. Bush A, Nicholls R, Tunstall J (2001) Stress levels for elastic buckling of rolled strip and plate. Ironmaking and Steelmaking 28:481–484

    Article  Google Scholar 

  7. Rammerstorfer FG, Fisher FD, Friedl N (2001) Buckling of free infinite strips under residual stress and global tension. J Appl Mech 68:399–404

    Article  MATH  Google Scholar 

  8. Fisher FD, Rammerstorfer FG, Friedl Wisser NW (2000) Buckling phenomena related to rolling and levelling of sheet metal. Int J Mech Sci 42:1887–1910

    Article  Google Scholar 

  9. Zahrouni H, Cochelin B, Potier-Ferry M (1999) Computing finite rotations of shells by an asymptotic-numerical method. Comput Methods Appl Mech Eng 175:71–85

    Article  MATH  Google Scholar 

  10. Boutyour EH, Zahrouni H, Potier-Ferry M, Boudi M (2004) Bifurcation points and bifurcated branches by an asymptotic numerical method and padé approximants. Int J Numer Methods Eng 60:1987–2012

    Article  MATH  MathSciNet  Google Scholar 

  11. Timoshenko SP, Gere JM (1961) Theory of elastic stability, 2nd edn. Mc Graw Hill Book Company, Inc, New York

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Abdelkhalek.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdelkhalek, S., Zahrouni, H., Potier-Ferry, M. et al. Coupled and uncoupled approaches for thin cold rolled strip buckling prediction. Int J Mater Form 2 (Suppl 1), 833 (2009). https://doi.org/10.1007/s12289-009-0547-0

Download citation

  • Published:

  • DOI: https://doi.org/10.1007/s12289-009-0547-0

Keywords

Navigation