Chinese Journal of Theoretical and Applied Mechani ›› 2009, Vol. 41 ›› Issue (3): 376-382.DOI: 10.6052/0459-1879-2009-3-2007-645

• Research paper • Previous Articles     Next Articles

A noval stress integration algorithm in inverse analysis method of sheet metal stamping

Bingtao Tang Deming Sun Zhaoqing Wang Zhen Zhao   

  • Received:2007-12-24 Revised:2008-06-30 Online:2009-05-25 Published:2009-05-25

Abstract: An improved inverse analysis method is proposed for sheet metal stamping based on the final workpiece in Euler coordinate system. The principle of the virtual work is firstly adopted to obtain the equivalent equations. The constitutive equation in the present method is based on flow theory of plasticity to consider the loading history, while deformation theory of plasticity in the classical inverse analysis method. The plastic multiplier \Delta \lambda is directly obtained with the concept of the equivalent stress in order to avoid numerous iterations in Newton-Raphson scheme \Delta \lambda. The numerical results obtained from the classical and improved inverse analysis methods are compared with those from the incremental forward finite element solver LS-DYNA. It shows that the proposed constitutive equation is effective and reliable with the comparisons of blank configurations, Forming Limited Diagram (FLD), the effective strain distribution and computational efficiency.

Key words: Sheet metal stamping, Inverse analysis method, Constitutive equations, Deformation theory of plasticity, Flow theory of Plasticity