Mathematical modeling of carbon content and intercritical annealing temperature in dp steels by factorial design method

Abstract

2(k) factorial design is employed to find the mathematical relation between the carbon content and intercritical annealing temperature (TAT) in order to predict the responses namely martensite volume fraction (MVF), microhardness (H), yield strength (YS), ultimate tensile strength (UTS), total elongation (TEL), yield ratio (YR) and Charpy impact energy (CIE) in dual phase (DP) steels. Steels containing different carbon contents (0.085% C and 0.380% C) had been chosen for this purpose. The main advantages of factorial design are its easy implementation and the effective computation compared with the other optimization techniques, which were employed for predicting mentioned responses in the literature. To verify the proposed approach based on factorial design, experiments for verification were performed. The results of the verification experiments and the mathematical models are in accordance with each other and the literature.