cold roll forming; ALE formulation; mesh smoothing; large deformation; finite elements
Abstract :
[en] In this paper, the Arbitrary Lagrangian Eulerian formalism is used to compute the steady state of a 3D U-shaped cold roll forming process. Compared to the Lagrangian case, this method allows to keep a refined mesh near the tools, thus allowing accurate contact prediction all along the computation with a limited number of elements. Mesh can also be kept refined in the bending zone, thus leading to accurate representation of the sheet with a limited computational time. The main problem of this kind of simulation lies in the rezoning of the nodes on the free surfaces of the sheet. A modified iterative isoparametric smoother is used to manage this geometrically complex and CPU expensive task. (c) 2006 Elsevier B.V. All rights reserved.
Boman R., and Ponthot J.-P. ALE methods for determining stationary solutions of metal forming processes. on CDROM. In: Onate E. (Ed). Proceedings of ECCOMAS 2000. Barcelona, Spain (2000)
Boman R., and Ponthot J.-P. Finite element simulation of lubricated contact in rolling using Arbitrary Lagrangian Eulerian formulation. Compt. Methods Appl. Mech. Eng. 193 39-41 (2004) 4323-4353
Bui Q.V., Papeleux L., Boman R., Ponthot J.P., Wouters P., Kergen R., and Daolio G. Numerical simulation of cold roll forming process. Proceedings of the ESAFORM2005. Cluj-Napoca, Romania (2005 April) 141-144
F. Casadei, J. Donea, A. Huerta, Arbitrary lagrangian eulerian finite elements in non-linear fast transient continuum mechanics, Technical report EUR 16327 EN, University of Catalunya, Barcelona, Spain, 1995.
Donea J., Huerta A., Ponthot J.-P., Rodriguez-Ferran A., Stein E., de Borst R., and Hughes T.J.R. Encyclopedia of Computational Mechanics, vol. 1 (2004) 413-437 (Chapter 14)
Giuliani S. An algorithm for continuous rezoning of the hydrodynamic grid in Arbitrary Lagrangian-Eulerian computer codes. Nucl. Eng. Design 72 2 (1982) 205-212
Hermann L.R. Laplacian isoparametric grid generation scheme. J. Eng. Div. 102 (1976) 749-756
Huerta A., Casadei F., and Donéa J. ALE stress update in transient plasticity problems. In: Oñate E., and Owen D.R.J. (Eds). Proceedings of the International Conference on Computational Plasticity. Barcelona, Spain (1995) 1865-1876
Hyun S., and Lindgren L.-E. Smoothing and adaptive remeshing schemes for graded elements. Commun. Numer. Methods Eng. 17 (2001) 1-17
Jones R.E. A self-organizing mesh generation program. J. Pressure Vessel Technol., Trans. Am. Soc. Mech. Eng. 96 3 (1974) 193-199
J.-P. Ponthot, Traitement unifié de la Mécanique des Milieux Continus solides en grandes transformations par la méthode des éléments finis (in French), Ph.D. thesis, Université de Liège, Liège, Belgium, 1995.
Zhou T., and Shimada K. An angle-based approach to two-dimensional mesh smoothing. Proceedings of the Ninth International Meshing Roundtable. New Orleans, Louisiana, USA (2000 October) 373-384
