Numerical Model of Solidification Structure Formation in Fe–C Alloy with Peritectic Transformation

A numerical model was developed for the simulation of structure formation during the solidification of an Fe–C alloy with peritectic transformation. In this model, the front tracking method was used to simulate the dendrite growth of primary δ phase and subsequent peritectic transformation. Diffusion in liquid and solid, mass conservation at the solid/liquid interface and local equilibrium at the solid/liquid interface with consideration of curvature undercooling were solved to determine the positions of the solid/liquid and δ/γ interfaces. A simulation was carried out for the growth of many primary δ dendrites to simulate the formation of initial gamma grain structure. The simulated results showed that the number of the initial gamma grain depends on the nucleation mechanism of gamma phase during peritectic reaction.