Analysis of Growth Behavior of a Cellular and Dendritic Interface under a Constrained Growth Condition using a Phase-Field Model

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A phase-field simulation was carried out to investigate the growth behavior of a cellular and dendritic interface of an Fe–C binary alloy in a constrained growth condition. The simulated results were in good agreement with the experimental results. The effect of the magnitude of anisotropy at solid/liquid interface energy was examined, and it was found that the magnitude of anisotropy affected the growth direction when the growth rate was low. Dimensionless growth direction, π′, was used to examine the obtained results, and it was found that π′ increases from zero and approaches unity with increase in growth velocity. A good correlation was obtained between calculated growth velocity and growth direction by using dimensionless growth velocity (VVc), and this correlation was in agreement with the experimental results.

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