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Calculation of Phase Equilibria Based on the Levenberg-Marquardt Method

Ruijie ZHANG , Lei LI , Zhongwei CHEN , Zhi HE , Wanqi JIE

材料科学技术(英文)

The Levenberg-Marquardt method, the best algorithm to obtain the least-square solution of nonlinear equations, is applied to calculate the stable phase equilibria. It can get the best combination between robustness and speed of the calculations. Its application to ternary Al-Si-Mg system is executed in detail. The calculated phase equilibria agree well with the experimental results. Furthermore, the Levenberg-Marquardt method is not sensitive to the initial values.

关键词: Levenberg-Marquardt method , null , null

Prediction of Solid-Liquid Interface Stability by Coupling M-S Model with CALPHAD Method

Ruijie ZHANG , Zhi HE , Zhongwei CHEN , Wanqi JIE

材料科学技术(英文)

A method to predict the solid-liquid interface stability during unidirectional solidification is developed by coupling M-S model with CALPHAD method. The method was applied to Al-0.38 Zn and Al-0.34 Si-0.14 Mg (wt pct) alloys, and the predicted results were compared with some former experimental data of the two alloys. The good agreement between the calculation results and the experimental data demonstrates the superiority of the present method to the classical one based on constant parameter assumptions.

关键词: Interface stability , null , null

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