Proposing a better forming limit diagram prediction: a comparative study

Abstract

In this work, it is shown an algorithm for the prediction of the right-hand side of forming limit diagram (FLD) using the methodology proposed by Marciniak and Kuczynski. Five different yield criteria were used: von Mises’, Hill’s (1948), Hill’s (1979), Logan and Hosford’s, and Hill’s (1993) [Metal Forming—Mechanics and Metallurgy, 2nd ed., Prentice-Hall, Englewood Cliffs, NJ, 1993; Proc. R. Soc. London 193A (1948) 197; Math. Proc. Camb. Philos. Soc. 85 (1979) 179; Int. J. Mech. Sci. 22 (1980) 419; Int. J. Mech. Sci. 35 (1993) 19]. The results were compared against theoretical and experimental data present in literature with good agreement. The materials used in the comparison were the 2036-T4 aluminum and the AK, IF and EEP steels. It was observed that the predicted FLD was strongly influenced by the type of yield criterion used in the analysis. The best agreement between the predicted curves and the experimental data for each material was obtained from different criteria. The best result for the AK steel was achieved from the Logan and Hosford’s criterion. The 2036-T4 aluminum was better represented when the Hill’s criterion [Int. J. Mech. Sci. 35 (1993) 19] was used. The IF and EEP steels were well represented by the results based on either Hill’s [Math. Proc. Camb. Philos. Soc. 85 (1979) 179] or Logan and Hosford’s criterion [Int. J. Mech. Sci. 22 (1980) 419].