Approche inverse améliorée pour la minimisation du retour élastique de pièces embouties

Authors

  • Slim Ben- Elechi University of Birmingham, Edgbaston, Birmingham B15 2TT United Kingdom
  • Hakim Naceur Laboratoire Roberval, Université de Technologie de Compiègne, FRE 2833 CNRS BP 20529 – F-60205 Compiègne cedex
  • Catherine Knopf-Lenoir Laboratoire Roberval, Université de Technologie de Compiègne, FRE 2833 CNRS BP 20529 – F-60205 Compiègne cedex
  • Jean-Louis Batoz Institut Supérieur d’Ingénierie de la Conception (GIP-InSIC) 27 rue d’Hellieule, F-88100 St-Diés Des Vosges

DOI:

https://doi.org/10.13052/REMN.17.349-372

Keywords:

response surface, deep drawing, springback, inverse approach, optimization

Abstract

This work is focused on the minimization of the elastic deformed drawn parts after tools removing. We use a Response Surface Method based on Diffuse Approximation and a specific algorithm for the optimum searching. For the deep drawing process simulation, we use the Inverse Approach with stress improvements to take into account the bending and unbending effects. Internal efforts with the final workpiece shape are used for the springback calculation, using an Updated Lagrangian Formulation. Two deep drawing benchmarks are studied to validate the proposed procedure with reference to Abaqus® and Stampack® commercial codes.

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References

Barlet O., Batoz J.L., Guo Y.Q., Mercier F., Naceur H., Knopf-Lenoir C., “The inverse

approach and mathematical programming techniques for optimum design of sheet

forming parts”, ASME, (3), 1996, p. 227-232.

Batoz J.L., Guo Y.Q., Mercier F., “The Inverse Approach with simple triangular shell

elements for large strain predictions of sheet metal forming parts”, Engineering

Computations, vol. 15, n° 6-7, 1998, p. 864-892.

Batoz J.L, Dhatt G., “Modélisation des structures par éléments finis”, vol. 3, Coques, Hermès,

Paris, 1992.

Belytschko T., Lu Y.Y., Gu L., “Element-Free Galerkin Methods”, International Journal for

Numerical Methods in Engineering, 37, 1994, p. 229-256.

Ben Elechi S., Analyse et Conception Rapides de Paramètres du Procédé d’Emboutissage

pour le Contrôle du Retour élastique, Thèse de doctorat, Université de Technologie de

Compiègne, décembre 2004.

Bui Q., Papeleux L., Penthot J., “Efficient Springback Prediction based on Enhanced Assumed

Strain Elements”, 7th International Conference on Computational Plasticity, April 7-10,

, Barcelona, Spain.

Delamézière A., Naceur H., Breitkopf P., Knopf-Lenoir C., Batoz J.L., Villon P., “Feasibility in

deep drawing: optimization of material properties using response surface”, Mécanique &

Industries, vol. 3, n° 2, 2002, p. 93-98.

Demeri M.Y., Lou M., Saran M.J., “A benchmark test for springback in sheet metal forming”,

International Body Engineering Conference & Exibition (IBEC), Cobo Center, Detroi,

Michigan, Etat-Unis, October 3-5, 2000.

Gati W., Guo Y.Q., Naceur H., Batoz J.L., « Approche Pseudo Inverse pour estimation des

contraintes dans les pièces embouties axisymétriques », Revue européenne des éléments

finis, décembre 2003.

Gelin J.C., Picart P., “4th Int. Conf. Numerical Simulation of 3D Sheet Metal Forming

processes”, Numisheet’99, Besançon, France, 1999.

Guo Y. Q., Gati W., Naceur H., Batoz J. L., “An efficient DKT rotation free shell element for

springback simulation in sheet metal forming”, Computers & Structures, vol. 80, n° 27-

, November 2002, p. 2299-2312.

Guo Y.Q., Batoz J.L., Detraux J.M., Duroux P., “Finite element procedures for strain

estimations of sheet metal forming parts”, IJNME, (39), 1990, p. 1385-1401.

Guo Y.Q., Batoz J.L., Naceur H., Bouabdallah S., Mercier F., Barlet O., “Recent developments

on the Analysis and Optimum Design of Sheet Metal Forming Parts using a Simplified

Inverse Approach”, Computers & Structures, vol. 78, n° 1-3, November 2000, p. 133-148.

Guo Y.Q., Gati W., Naceur H., Batoz J.L., “Stress evaluation in sheet forming modeling by

inverse approach for springback simulation”, EUROMAT 2001, 7th European Conf. on

Advanced Materials and Processes, 10-14 june 2001, Rimini, Italy.

Guo Y.Q., Gati W., Naceur H., Batoz J.L., “Springback evaluation after forming simulation

using the inverse approach and incremental approach”, NUMIFORM 2001, 7th Int. Conf.

on Num. Meth. In Industrial Forming Processes, June 18-21, 2001, Toyohashi, Japan.

Guo Y.Q., Naceur H., Debray K., Bogard F., “Initial solution estimation to speed up inverse

approach in stamping modeling”, International Journal for Computer-Aided Engineering,

vol. 20, n° 7, 2003, p. 810-834.

Hibbit, Karlson, Sorensen, Abaqus®/Standard User’s manual - version 6.3, Edition HKS,

Pawtucket, RI, USA, 2003.

Ken-Ichiro M., “Simulation of material processing: theory, methods and applications”,

Numiform’2001, 7th Int. Conf. on Numerical Methods in Industrial Forming Processes,

Toyohashi, Japan, 2001.

Kleiber M., Knabel J., Rojek J., “Reliability Assessment in Metal Forming Operations”,

th World Cong. on Comp. Mech., editor Mang, H.A., Rammerstorfer F.G.,

Eberhardsteiner J., July 7-12, 2002, Austria.

Kurtaran H., Eskandarian A., Marzougui D., Bedewi N. E., “Crashworthiness design

optimization using successive response surface approximations”, Computational

Mechanics, 29, 2002, p. 409-421.

Lancaster P., Salkauskas K., An Introduction: Curve and Surface Fitting, Academic Press

Inc., 1986.

Lemaitre J., Chaboche J.L., Mécanique des matériaux solides, Dunod, Paris, 1996.

Lewis R.M., Torczon V., “Pattern Search Methods For Linearly Constrained Minimization”,

Siam J. Optim., vol. 10, n° 3, 2002, p. 917-941.

Makinouchi A., Nakamachi E., Oñate E., Wagoner R., Proceedings of the International

Conference NUMISHEET’93, Riken, Tokyo, 1993.

Myers R.H., Montgomery D.C., Response Surface Methodology Process and Product

Optimization using Designed Experiments, John Wiley and Sons, Inc., New York, USA,

nd ed., 2002.

Naceur H., Guo Y.Q., Batoz J.L., Bouabdallah S., Knopf-Lenoir C., “Design of process

parameters in deep drawing of thin sheets using the simplified Inverse Approach”,

Numisheet’99, (1), France, 1999, p. 517-522.

Naceur H., Guo Y.Q., Gati W., “New Enhancements in the inverse approach for the fast

modeling of autobody stamping process”, International Journal of Computational

Enginering Science, vol. 3, n° 4, 2002, p. 355-384.

Nayroles B., Touzot G., Villon P., “Generalizing the Finite Element Method: Diffuse

Approximation and Diffuse Elements”, Computational Mechanics, 10, 1992, p. 307-318.

Quantech ATZ, Stampack® user guide – version 5.3, Edificio Nexus, Gran Capitán, 2-4,

Barcelona, Spain, 2003.

Rojek J., Oñate E., “Sheet Springback Analysis Using a Simple Shell Triangle with

Translational Degrees of Freedom Only”, International Journal of Formin Processes,

vol. 1, n° 3, 1998, p. 275-296.

Roux W.J., Stander N., Haftka R.T., “Response surface approximations for structural

optimization”, Int. J. Numer. Meth. Engng., 42, 1998, p. 517-534.

Stander N., “The successive response surface method applied to sheet-metal forming”,

Proceedings, First MIT Conference on Computational Fluid and Solid Mechanics, June

-15 2001, p. 481-485

Stander N., Burger M., Zhu X., Maker B., “An Optimization Procedure For Springback

Compensation Using LS-OPT”, 7th International LS-DYNA Users Conference, May 19-

, Dearborn, Michigan, 2002, p. 15/1-10.

Vanderplaats G., Numerical Optimization Techniques for Engineering Design, McGraw Hill,

Yuen W.Y.D., “A generalized solution for the prediction of springback in laminated strip”,

Journal of Material Processing Tecnology, 61, 1996, p. 254-264.

Zhang T., Rahman S., Choi K.K., “A Hybrid Method using Response Surface and Pattern

Search for Derivative-Free Design Optimization”, 5th World Cong. on Compt. Mech.,

editor Mang, H.A., Rammerstorfer F.G., Eberhardsteiner J., July 7-12, 2002, Austria.

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Published

2008-09-18

How to Cite

Elechi, S. B.-., Naceur, H. ., Knopf-Lenoir, C., & Batoz, J.-L. . (2008). Approche inverse améliorée pour la minimisation du retour élastique de pièces embouties. European Journal of Computational Mechanics, 17(3), 349–372. https://doi.org/10.13052/REMN.17.349-372

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