Developments of multi-step simulations in sheet metal forming processes

  • Weijie Liu
  • Xiangkui Zhang
  • Ping Hu


At the early design stage of sheet metal forming processes, the well-known inverse approach provides an efficient formability analysis for the pre-designed final part. However, the evaluation of stress state is poor due to its lack of consideration in deformation histories. In this paper, the finite element multi-step method is developed to improve the stress estimations by introducing several intermediate configurations, which are efficiently solved and constructed by using the pseudo minimum area approach and the initial solutions respectively. Therefore, the new nonlinear kinematics are formulated to provide the forward finite logarithmic strain increments, and the classical implicit local integration is performed to update the stress for the anisotropic elastoplastic material. Numerical simulations are carried out to validate the proposed method.


Sheet metal forming Finite deformation Constitutive integration Intermediate configuration 


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This work was supported by the National Natural Science Foundation of China (No. 11102035 and 11472071).


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© Springer-Verlag London Ltd. 2017

Authors and Affiliations

  1. 1.The State Key Laboratory of Structural Analysis for Industrial EquipmentDalian University of TechnologyDalianPeople’s Republic of China

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