The effect of yield criteria on the forming limit curve prediction and the deep drawing process simulation

Abstract The increasing application of numerical simulation in the field of metal forming has helped engineers to solve problems one after another to manufacture a qualified formed product in a reduced time. Accurate simulation results are vital for die and product designs. Many factors can influence the final simulation result, the most important of which is a suitable yield criterion. The proposed Forming Limit Curve (FLC), which is used to evaluate the necking risk, differs a lot while different yield criteria used. In this study, the theoretical FLC is calculated using Swift model, which considers three-yield criteria Hill 48, Hill 90 and Hill 93. Also, the simulation processes with two yield criteria, Hill 48 and Hill 90, are carried out with two types of material, SPCC (JIS G3141) and Al6xxx. The strain evolutions of elements located in two trajectories of two materials are investigated and compared. The simulation results are compared with the experimental ones to evaluate the effectiveness of the yield criterion.

[1]  Siguang Xu,et al.  Prediction of forming limit curves of sheet metals using Hill's 1993 user-friendly yield criterion of anisotropic materials , 1998 .

[2]  Z. Marciniak,et al.  Limit strains in the processes of stretch-forming sheet metal , 1967 .

[3]  R. Hill.  A theory of the yielding and plastic flow of anisotropic metals , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[4]  C. L. Chow,et al.  Forming Limit Analysis of Sheet Metals Based on a Generalized Deformation Theory , 2003 .

[5]  R. Hill,et al.  On discontinuous plastic states, with special reference to localized necking in thin sheets , 1952 .

[6]  R. Hill.  Constitutive modelling of orthotropic plasticity in sheet metals , 1990 .

[7]  R. Hill,et al.  XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. , 1951 .

[8]  A. P. Karafillis,et al.  Prediction of localized thinning in sheet metal using a general anisotropic yield criterion , 2000 .

[9]  R. Hill,et al.  A user-friendly theory of orthotropic plasticity in sheet metals , 1993 .

[10]  J. L. Duncan,et al.  Failure in sheet metal in biaxial tension , 1971 .

[11]  James R. Rice,et al.  Localized necking in thin sheets , 1975 .

[12]  Dorel Banabic,et al.  Prediction of the influence of yield locus on the limit strains in sheet metals , 2001 .

[13]  H. W. Swift.  Plastic instability under plane stress , 1952 .

[14]  D. Banabic.  Limit strains in the sheet metals by using the new Hill's yield criterion (1993) , 1999 .

[15]  P. Friedman,et al.  Effects of plastic anisotropy and yield criteria on prediction of forming limit curves , 2000 .