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Solute trapping is an important phenomenon in rapid solidification of alloys,for which the continuous growth model (CGM) is a popular sharp interfacetheory. Using matched asymptotic analysis, we show how to quantitatively mapthe sharp interface behavior of a binary alloy phase field model onto the CGMkinetics of Aziz et al. [1], with a controllable partition coefficient k(V ).We demonstrate the parameterizations that allow the phase field model to maponto the corresponding CGM or classical sharp interface models. We alsodemonstrate that the mapping is convergent for different interface widths.Finally we present the effect that solute trapping can have on cellular growthin a directional solidification simulation. The treatment presented for solutetrapping can be easily implemented in different phase field models, and isexpected to be an important feature in future studies of quantitative phasefield modeling in rapid solidification regimes, such as those relevant toadditive manufacturing.

Quantitative phase field modeling of solute trapping and continuous growth kinetics in rapid solidification