The existing phase-field models for simulation of solidification microstructures of metal melt are described comprehensively including the phase-field of pure materials

binary alloy with ideal solution model or regular solution model and dilute model.The necessity of establishing the phase-field model for simulation of solidification microstructures of the alloy with complex solution patterns is pointed out.It is proposed that the phase diagram may be used to establish volume free energy of phase field model for thermodynamic model calculation correspondingly parameters of phase field are corrected so that the accurate simulation of phase field model for solidificaion microstructure of complex metallic melt has been built up.The developed phase field model can be used to simulate both free growth and directional growth in Ti-Al metallic melt.A lot of results obtained are well in agreement with ones from experimental observation and theoretical analysis.