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Abstract

A process optimisation technique is proposed on the base of the combination of a numerical optimisation procedure and a finite element method. The optimisation algorithm is based on an augmented lagrangian method and is used to minimise an objective function subject to constraint functionals. This allows to adjust process parameters in the finite element model. The finite element method allows an accurate simulation of the process under consideration by taking exactly into account boundary conditions, applied loads and operating conditions. Furthermore, a sensitivity analysis is associated with this method in a consistent manner so as to assess accurately the gradient of the reponse function and the constraint functionals with respect to process parameters. An application to the control of springback during deep drawing of sheet metals is presented.

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References

  1. Ghouati, O., and Gelin, J.C.: “Sensitivity analysis and optimization of shape and process parameters in metal forming”, Engineering Systems Design and Analysis Conference 1996, Vol.3, pp.221–226.

    Google Scholar 

  2. Kegl, M., Butinar B.J., and Oblak, M.M.: “Shape optimal design of elastic planar frames with non linear response”, Int. J. Numer. Methods Eng., Vol.38, 3227–3242, 1995.

    Article  MATH  Google Scholar 

  3. Schramm U., and Pilkey, W.D.: “Optimal shape design for thin walled beam cross-sections”, Int. J. Numer. Methods Eng., Vol.37, 4039–4058, 1994.

    Article  MATH  Google Scholar 

  4. Gelin, J.C., Boulmane, L., and Boisse, P.: “Quasi-static implicit transient analyses of sheet metal forming using a C° three node shell element”, J. Mater. Processing Technology, vol. 50, n° 1–4, 54–69, 1995.

    Article  Google Scholar 

  5. Boubakar, L., Boulmane, L., and Gelin, J.C.: “Finite element modelling of the stamping of anisotropic sheet metals”, Engineering Computations, Vol.13, pp 143–171, 1996.

    Article  MATH  Google Scholar 

  6. Joannic, D., and Gelin, J.C., “Accurate simulation of springback in 3D sheet metal forming processes”, 5th Int. Conf. on Numerical Methods in Industrial Forming Processes — Numiform’95, Ed. by S.F. Shen and P.R. Dawson, A.A. Balkema Publ., 729–735, 1995.

    Google Scholar 

  7. Bathe, K.J., Finite Element Procedures in Engineering Analysis, Ed. Prentice Hall Int., New York, 1982.

    Google Scholar 

  8. Zienkiewicz, O.C., and Taylor, R.L., The Finite Element Method, Fourth Edition, vol.1, Basic Formulation and Linear Problems, Mc Graw Hill Book compagny, 1989.

    Google Scholar 

  9. Gelin, J.C., and Ghouati, O.: An Inverse Solution Procedure For Material Parameters Identification In Large Plastic Deformations, Comm. in Num. Meth. in Eng. 12 (1996), 161–173.

    Article  MATH  Google Scholar 

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© 1999 Springer Science+Business Media Dordrecht

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Ghouati, O., Lenoir, H., Gelin, JC. (1999). Design Optimisation of Metal Forming Processes. In: Batoz, JL., Chedmail, P., Cognet, G., Fortin, C. (eds) Integrated Design and Manufacturing in Mechanical Engineering ’98. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9198-0_37

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  • DOI: https://doi.org/10.1007/978-94-015-9198-0_37

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5342-8

  • Online ISBN: 978-94-015-9198-0

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