Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-01T01:23:14.806Z Has data issue: false hasContentIssue false

Modélisation numérique du flambage des plaques minceset applications au laminage

Published online by Cambridge University Press:  05 August 2009

Sami Abdelkhalek
Affiliation:
École des Mines de Paris-ParisTech-CEMEF (UMR CNRS 7635), BP 207, 1 rue Claude Daunesse, 06904 Sophia-Antipolis-Cedex, France LPMM (UMR CNRS 7554), ISGMP, Université de Paul Verlaine-Metz, Ile de Saulcy, 57045 Metz, France
Hamid Zahrouni
Affiliation:
LPMM (UMR CNRS 7554), ISGMP, Université de Paul Verlaine-Metz, Ile de Saulcy, 57045 Metz, France
Michel Potier-Ferry
Affiliation:
LPMM (UMR CNRS 7554), ISGMP, Université de Paul Verlaine-Metz, Ile de Saulcy, 57045 Metz, France
Pierre Montmitonnet
Affiliation:
École des Mines de Paris-ParisTech-CEMEF (UMR CNRS 7635), BP 207, 1 rue Claude Daunesse, 06904 Sophia-Antipolis-Cedex, France
Nicolas Legrand
Affiliation:
ArcelorMittal Research Maizières, R&D Industrial Operations, BP 30320, Voie Romaine, 57283 Maizières, Les Metz Cedex, France
Pascal Buessler
Affiliation:
ArcelorMittal Research Maizières, R&D Industrial Operations, BP 30320, Voie Romaine, 57283 Maizières, Les Metz Cedex, France
Get access

Abstract

Dans certains procédés de mise en forme, tel que le laminage, l'apparition des contraintes résiduelles est inévitable et peut engendrer le flambage qui se traduit en défauts géométriques. Ceci exige la modélisation de ce phénomène d'instabilité mécanique afin de bien définir la forme et l'amplitude de ces défauts. Cela nécessite un modèle complet ayant des capacités pour le calcul du post-flambage. Dans le présent article, on présente un modèle de flambage possédant la faculté de détecter la charge critique de flambage et la forme post-flambée d'une plaque sous contraintes résiduelles. Des applications à des cas académiques et un cas de laminage seront aussi traités.

Type
Research Article
Copyright
© AFM, EDP Sciences, 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Zahrouni, H., Cochelin, B., Potier-Ferry, M., Computing finite rotations of shells by an asymptotic-numerical method, Comput. Meth. Appl. Mech. Eng. 175 (1999) 7185 CrossRef
Tosawa, Y., Analysis of three dimensional deformation in strip rolling taken deformation of rolls into consideration, Advanced technology of plasticity 2 (1984) 11511160
Coman, C.D., Bassom, A.P., An asymptotic description of the elastic instability of twisted thin elastic plates, Acta Mechanica 200 (2008) 5968 CrossRef
Bush, A., Nicholls, R., Tunstall, J., Stress levels for elastic buckling of rolled strip and plate, Ironmaking and steelmaking 28 (2001) 481484 CrossRef
Rammerstorfer, F.G., Fisher, F.D., Friedl, N., Buckling of free infinite strips under residual stress and global tension, J. Appl. Mech. 68 (2001) 399404 CrossRef
Fisher, F.D., Rammerstorfer, F.G., Friedl, N., Wisser, W., Buckling phenomena related to rolling and levelling of sheet metal, International journal of mechanical sciences 42 (2000) 18871910
Boutyour, E.H., Zahrouni, H., Potier-Ferry, M., Boudi, M., Bifurcation Points and Bifurcated Branches by an Asymptotic Numerical Method and Padé Approximants, Int. J. Numer. Meth. Eng. 60 (2004) 19872012 CrossRef
Vannucci, P., Cochelin, B., Damil, N., Potier-Ferry, M., An asymptotic numerical method to compute bifurcating branches, Int. J. Numeri. Meth. Eng. 4 (1998) 13651389 3.0.CO;2-Y>CrossRef
S.P. Timoshenko, J.M. Gere, Theory of elastic stability, Mc Graw Hill Book Company, Inc, New York, Second edition, 1961
S. Abdelkhalek, P. Monmitonnet, N. Legrand, P. Buessler, Manifested flatness predictions in thin strip cold rolling, In 11th ESAFORM conference forging and rolling, 2008
A. Hacquin, P. Montmitonnet and J.P. Guilleraut. A steady state thermo-elastoviscoplastic finite element model of rolling whith coupled thermo-elastic roll deformation. J. Materials Processing Technology 60 (1998) 109–116
Jacques, N., Elias, A., Potier-Ferry, M., Zahrouni, H., Buckling and wrinkling during strip conveying in processing lines. J. Materials Processing Technology 190 (2007) 3340