Analytical modelling of buckling in stringer sheet forming

  • Stefan Köhler
  • Henning Husmann
  • Daniel Corbean
  • Peter GrocheEmail author
Original Research


Stringer sheet forming enables an efficient production of branched sheet metal structures. Compared to conventional sheet metal components, stringer sheets show a significant increase in stiffness and therefore offer new possibilities for lightweight design. A challenge in stringer sheet forming is the failure due to instability, which appears in the buckling of the stringer in concave curvatures. The prediction of this failure mode is so far only possible by complex numerical simulations. This work introduces an analytical model for the prediction of the buckling failure during forming of concave stringer sheet curvatures under different process boundary conditions. It is derived from Kirchhoff’s plate theory. A detailed sensitivity analysis of all influencing parameters is shown and extends the process understanding. The model is validated by means of a 4-point bending test and a stamping process. It can be used for a conservative estimation of the buckling failure limit in stringer sheet forming.


Stringer sheet forming Buckling Analytical model 4-point bending Stamping 



The presented investigations were carried out within transfer project T7 of CRC 666 ‘Integral sheet metal design with higher order bifurcations’ and the project ‘Prestressed, hybrid stringer sheet structures’ (GR1818/57-1) funded by the German Research Foundation (DFG). The financial support of the German Research Foundation (DFG) is gratefully acknowledged.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag France SAS, part of Springer Nature 2019

Authors and Affiliations

  • Stefan Köhler
    • 1
  • Henning Husmann
    • 1
  • Daniel Corbean
    • 1
  • Peter Groche
    • 1
    Email author
  1. 1.Institute for Production Engineering and Forming MachinesTechnische Universität DarmstadtDarmstadtGermany

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