Effect of Martensite Volume Fraction on Forming Limit Diagrams of Dual-Phase Steel

Prediction of the onset of failure due to localized necking has an important role on the determination of the formability of sheet metal, especially dual-phase steels, because of their increasing applications in the automotive industry. In the present study, a new application of the M-K model and theoretical forming limit diagram has been proposed. It is shown that this model can be useful in predicting the effect of microstructural aspects on the formability of dual-phase steels. For this purpose, the limiting strains of the dual-phase (ferrite-martensite) steel under different martensite volume fractions have been calculated. Furthermore, the effect of the heating rate on the formability of the DP samples has been predicted. To solve the non-linear system of equations, the modified Newton-Raphson method has been used. The results show that the limiting strains decrease by increasing the amount of martensite volume fractions. Furthermore, by increasing the heating rate, the dependence of the forming limit curves on the martensite volume fraction will be decreased.