International Journal of Material Forming

, Volume 7, Issue 4, pp 469–477 | Cite as

An investigation into thickness distribution in single point incremental forming using sequential limit analysis

  • M. J. Mirnia
  • B. Mollaei DarianiEmail author
  • H. Vanhove
  • J. R. Duflou
Original Research


Single point incremental forming (SPIF), needing no dedicated tools, is the simplest variant of incremental sheet metal forming processes. In the present work, a simplified model of SPIF of a truncated cone, capable of predicting the thickness distribution, has been developed using sequential limit analysis (SLA). The obtained results were validated experimentally and compared with thickness predictions obtained from an explicit shell FE model implemented in Abaqus. It is shown that SLA is capable to solve the thickness prediction problem more accurately and efficiently than the equivalent FEA approach. As an application of the proposed model, the effect of the diameter of the hemispherical tool tip and the step down on the thickness distribution and the minimum thickness in a 50° cone is studied using SLA. By introducing bending and stretching zones in the wall of the cone, variations of the minimum thickness by changing the tool diameter and the step down are discussed.


Single point incremental forming (SPIF) Sequential limit analysis Thickness Second-order cone programming (SOCP) 


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Copyright information

© Springer-Verlag France 2013

Authors and Affiliations

  • M. J. Mirnia
    • 1
  • B. Mollaei Dariani
    • 1
    Email author
  • H. Vanhove
    • 2
  • J. R. Duflou
    • 2
  1. 1.Department of Mechanical EngineeringAmirkabir University of TechnologyTehranIran
  2. 2.Department of Mechanical EngineeringKU LeuvenLeuvenBelgium

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