Mathematic Model of Liquidus Temperature in Quaternary Aluminum Phase Diagram

A numerical technique for constructing liquidus temperature in quaternary system has been proposed. This technique offers accurate calculations of solidification temperature and demonstrates on the Al-Si-Mg-Fe system. The thermodynamic data is extracted by calling the TQ-interface (Thermodynamic Calculation Interface) and modeled using efficient computational approaches such as polynomial regression and interpolation. Si and Mg are treated as independent variables in regression functions, while Fe is treated as interpolated variable. The validated accuracy of results obtained through this method is compared with those calculated using Thermo-Calc. This technique is useful for quaternary systems.