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基于经典形核长大理论和Johnson-Mehl-Avrami方程,假定过饱和沉淀的球形第二相分子式为(M)1xM2vM31-x-v(C)yN1-y,采用平均扩散速率表征合金原子对第二相形核长大过程影响的思想,建立了计算第二相析出-温度-时间(PTT)曲线的模型。基于Adrian模型提出计算多元系全固溶温度的方法,针对Fe-0.09C-0.011Ti-0.03V-0.025Nb(质量分数,%)钢计算得到的铁素体区PTT曲线呈典型的“C”形,得到的最快析出温度为628℃,其值与实验结果吻合。本模型计算效率高,计算析出相体积自由能变化时无需求取复合相的溶解度公式;适用性高,适用于不同基体中不同类型析出相PTT曲线的计算。
Based on the classical nucleation and growth theory and the Johnson-Mehl-Avrami equation, assuming that the spherical second-phase formula of supersaturated precipitation is (M) 1xM2vM31-xv (C) yN1-y, the average diffusion rate Nuclear growth process, the idea of establishing a second phase precipitation - temperature - time (PTT) curve model. Based on the Adrian model, a method for calculating the total solution temperature of the multicomponent system was proposed. The calculated PTT curve of the ferrite region for the Fe-0.09C-0.011Ti-0.03V-0.025Nb (mass fraction,% "Shape, get the fastest precipitation temperature of 628 ℃, its value and experimental results. The model has high computational efficiency and does not require the solubility formula of compound phase when computing the free energy change of precipitated phase. It has high applicability and is suitable for the calculation of PTT curves of different types of precipitates in different matrixes.