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

TL;DR

This paper develops a quantitative phase field model for rapid alloy solidification, accurately capturing solute trapping and growth kinetics, with implications for additive manufacturing.

Contribution

It introduces a method to map phase field model behavior onto the continuous growth model, enabling controllable and convergent simulations of rapid solidification.

Findings

Successful mapping of phase field model to CGM kinetics

Demonstration of convergence for different interface widths

Impact of solute trapping on cellular growth patterns

Abstract

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