Numerical Simulation of Axisymmetric Deep-Drawing Processes by the Finite Element Method (FEM)

  • Albrecht P. Stalmann
Part of the Berichte aus dem Institut für Umformtechnik der Universität Stuttgart book series (IFU, volume 85)


For the numerical simulation of deep-drawing processes the following nonlinear influences have to be considered: geometrical and material nonlinearity, contact and friction problems. For the evaluation of spring back effects an elastic-plastic constitution law is required. In order to show how the contact problem can be mastered — or in other words — how the penetration of two solid bodies can be avoided — a method of working with contact elements by using a penalty function will be introduced. Furthermore a simple description of various geometrical contact boundary conditions will be employed, combined with an economical procedure to handle arbitrary number of contact regions. Some typical convergence difficulties and modes to prevent these will be presented. The accuracy of the numerical simulation of an axisymmetric deep-drawing process is to be proved by comparing FEM examples with experiments.


Principal Stress Contact Element Blank Holder Control Zone Punch Force 
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  1. /1/.
    Mareczek, G. FAN - Finite Element Analyser for Field Problems. Internal Documentation at the Institut für Umformtechnik und Umformmaschinen, University of Hannover (1975).Google Scholar
  2. /2/.
    Oden, J.T. Finite Elements of Nonlinear Continua. McGraw-Hill, New York (1972).MATHGoogle Scholar
  3. /3/.
    McMeeking, R.M., J.R. Rice Finite Element Formulation for Problems of Large Elastic-Plastic Deformation. Int. J. of Solids and Stuctures (1975) Vol.11, pp 601–616.CrossRefMATHGoogle Scholar
  4. /4/.
    Hughes, T.J., R.I. Taylor, J.L. Sackman Finite Element Formulation and Solution of Contact-Impact Problems in Continuum Mechanics III IV. Report No. UC SESM 1975–7/1976–4, Departement of Civil Engineering, University of California, Berkely, California.Google Scholar
  5. /5/.
    Stalmann, A.P. Numerische Simulation des Tiefziehprozesses. Dissertation, Fortschritt-Berichte Betriebstechnik Nr.95, VDI-Verlag (1985).Google Scholar
  6. /6/.
    Witthüser, R.P. Untersuchung von Prüfverfahren zur Beurteilung der Reibungsverhältnisse beim Tiefziehen, Dissertation, University of Hannover (1980).Google Scholar

Copyright information

© Springer-Verlag, Berlin, Heidelberg 1986

Authors and Affiliations

  • Albrecht P. Stalmann
    • 1
  1. 1.Institut für Umformtechnik und UmformmaschinenUniversität HannoverGermany

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