The objective of the present work is to obtain empirical equations allowing the correlation between secondary dendrite arm spacing (SDAS) (λ2) and cooling rates () of the special steels, produced by continuous casting process. For that, samples were extracted from ingots with three different sections, i.e., 150 × 150 mm, 180 × 180 mm, and 240 × 240 mm, choosing steels with nine different chemical compositions (equivalent carbon contents). Metallographic techniques to reveal the structures, acquisition data system, and image analysis were employed to determine the SDAS in function of its position from surface to center of the ingots. Computer simulations generated by the continuous casting process software (InALC + Artificial Intelligence in the Continuous Casting), developed by the research group, were performed to obtain the relations between the solidification conditions and the cooling rates in operational conditions (chemical composition, ingot section, casting speed, and casting temperature). In the obtained equations for λ2 in function of the position, it was observed in the steels with similar chemical composition that the 150 mm section samples presented lower values when compared with 180 mm and 240 mm sections samples. In the comparison among the steels with similar equivalent carbon contents, the values of λ2 presented an increment in function of the increasing of the sections. In the comparison of steels with same section and different chemical compositions, the equations for λ2 in function of the simulated cooling rates presented an increasing of the λ2 with the increasing of the equivalent carbon contents.
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