A non-associated anisotropic plasticity model with mixed isotropic–kinematic hardening for finite element simulation of incremental sheet metal forming process

  • Abir Bouhamed
  • Hanen JradEmail author
  • Lotfi Ben Said
  • Mondher Wali
  • Fakhreddine Dammak


This paper focuses on numerical simulation of single point incremental forming (SPIF) process. Via a user-defined material (VUMAT) subroutine is employed to implement a non-associated mixed isotropic–kinematic hardening material model. The accuracy of the proposed non-associated flow rule model to predict the material behavior and the anisotropy in sheet metal forming simulations is examined by comparing numerical results with experimental measurements. The suggested model shows good agreement with experimental results compared to the associated Hill_R and Hill_S models. The proposed non-associated flow rule demonstrates a good efficiency to simulate the springback after sheet metal forming and to predict the thickness variation during incremental sheet metal forming process. The present non-associated model can improve the prediction of both anisotropic and hardening behaviors of material used in numerically controlled sheet metal forming technology.


Single point incremental forming Non-associated model Mixed hardening material model Anisotropy 


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Funding information

The work is carried out thanks to the support and funding allocated to the Unit of Mechanical and Materials Production Engineering (UGPMM/UR17ES43) by the Tunisian Ministry of Higher Education and Scientific Research.


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  • Abir Bouhamed
    • 1
  • Hanen Jrad
    • 1
    Email author
  • Lotfi Ben Said
    • 1
    • 2
  • Mondher Wali
    • 1
    • 3
  • Fakhreddine Dammak
    • 1
  1. 1.Engineering Production Mechanics and Materials Unit (UGPMM), National Engineering School of SfaxUniversity of SfaxSfaxTunisia
  2. 2.Mechanical Engineering Department, College of EngineeringUniversity of HailHailSaudi Arabia
  3. 3.Department of Mechanical Engineering, College of EngineeringKing Khalid UniversityAbhaSaudi Arabia

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