New algorithm for a robust user-independent evaluation of beginning instability for the experimental FLC determination

W. Volk, Pavel Hora

Research output: Contribution to journalArticlepeer-review

120 Scopus citations


The failure prediction in sheet metal forming is typically realized by evaluating the so called forming limit curves (FLC). The standard experimental method is the Nakajima test, where sometimes also the Marciniak test setup is used. Up to now, the FLC determination was performed with failed specimens and an one-directional intersection line method or by manually analyzing the estimated strains before cracking. Both methods determine the failure by considering the occurrence of cracking and do not consider the possibility of time continuous recording of the Nakajima test. Consequently forming limit curves which have been evaluated in such way are often "laboratory dependent" and deviate for identical materials significantly. This paper presents an algorithm for a fully automatic and time-dependent determination of the beginning plastic instability based on physical effects. The algorithm is based on the evaluation of the strain distribution based on the displacement field which is evaluated by optical measurement and treated as a mesh of a finite element calculation. The critical deformation states are then defined by 2D-consideration of the strain distribution and their time derivates using a numerical evaluation procedure for detecting the beginning of the localization. The effectiveness of the proposed algorithm will be presented for different materials used for the Numisheet'08 Benchmark-1 with Nakajima test.

Original languageEnglish
Pages (from-to)339-346
Number of pages8
JournalInternational Journal of Material Forming
Issue number3
StatePublished - Sep 2011
Externally publishedYes


  • FLC
  • Local necking
  • Nakajima-test
  • Optical detection of strain localizations


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