利用CALPHAD技术,分别采用Turnbull和Thompson-Spaepen(TS)两种近似公式计算了Cu-Zr-Ti三元系合金过冷熔体转变为晶体相的结晶驱动力。以连续形核理论为基础,利用Davies-Uhlmann公式计算了13种成分合金的两组温度-时间-转变曲线(rm和临界冷却速度。计算的Cu-Zr-Ti合金的两组临界冷却速度分别为1.38×10^2-7.34×10^5K/s和O.64~1.36×10^4K/s。结果表明:两组计算值与实验值都定性吻合,利用Ts公式计算得到的临界冷却速度更接近实验值。因此利用CALPHAD和动力学结合的方法能很好地预测Cu-Zr-Ti三元体系的玻璃形成能力(GFA)。
By using CALPHAD technique, the driving forces for crystallization from the undercooled liquid in Cu-Zr-Ti ternary alloys were evaluated by means of Turnbull and Thompson-Spaepen (TS) Gibbs free energy approximate equations, respectively. Timetemperature-transformation (TTT) curves and the corresponding critical cooling rates of thirteen compositions of Cu-Zr-Ti system were calculated with Davies-Uhlmann kinetic equations based on continuous nucleation theory. With Turnbull and TS equations, the calculated critical cooling rates for these Cu-Zr-Ti alloys are in the range of 1.38×10^2-7.34×10^5 K/s and 0.64-1.36×10^4 K/s, respectively. It is shown that both groups of the calculated values for the glass forming ability(GFA) are in agreement with the experimental data qualitatively. The glass forming ability (GFA) with TS equation is more in accordance with the experimental results than that with Tumbull equation. This work suggests that combination of CALPHAD technique and kinetic calculation may provide a valid method for the prediction of GFA in Cu-Zr-Ti alloys