鉄鋼材料の組織予測に向けたFe–C系CALPHAD連携フェーズフィールドモデルの構築

抄録

To predict the microstructures of steels, direct coupling of phase-field method and Calculation of Phase Diagrams (CALPHAD) databases is desirable. However, such direct coupling is challenging even for the binary Fe–C system. The first difficulty is that the local equilibrium condition becomes an implicit function, resulting in extremely high computational costs. The second difficulty is that the relationship between phase composition used in phase-field method and site fraction employed in CALPHAD method is nonlinear. In this study, a phase-field model for the Fe–C system is developed by combining Direct CALPHAD Coupling (DCC) model, which explicitly solves the local equilibrium condition, with a chain-rule formulation that links phase composition to site fractions. Numerical tests for δ phase solidification and γ phase peritectic transformation demonstrated that the proposed model satisfies the local equilibrium condition with errors small enough to have no impact on the simulation results and accurately reproduces phase diagram at equilibrium condition. The developed approach provides a framework for simulating microstructure evolution directly coupled with CALPHAD databases for steels containing interstitial elements such as carbon and nitrogen.