The microstructure evolution during the peritectic solidification of Fe-C is simulated using a mutliphae fieldk approach. The peritectic transforamtion in steel is a diffusion controlled non-quilibrum process with the three phases liquid, ferrite and austenite invovled. Phase fields are defined for each of the three pahses. A set of phase field equations is derived from a free energy formualtion, wherea the carbon diffusion equiaotn is derived separately by a solute diffuison model. Both phase field and solute diffusion model as well as their coupling will be disucssed. Simulation resutls will be presencted showing the grwoth of the primary ferrite and the subsequent peritectic transformation, in which the austenitic phase is formed.
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