一个细胞的自动机(CA ) 方法被采用到静态的变粗为二阶段的钛合金在 1213 和 1243 K 在 1173 K 并且通过体积沿着谷物边界由散开控制了的模型。在 CA 模型,变粗的率与平均谷物半径的第三力量相反地成正比因为变粗沿着谷物边界由散开控制了,并且与为变粗的谷物半径通过体积由散开控制了的一般水准的第二力量相反地成正比。CA 模型被用来在静态的变粗期间预言词法进化,平均谷物尺寸,拓扑的特征,和 Ti-6Al-2Zr-1Mo-1V (TA15 ) 合金的变粗的动力学。预言的结果被发现在对相应试验性的结果的好同意。另外,阶段(V f ) 和变粗上的起始的谷物尺寸的体积部分的效果被讨论。预言的变粗的运动常数与 V f 增加了并且一种更大的起始的谷物尺寸导致了更慢的变粗,这被发现。
A cellular automata (CA) method was employed to model static coarsening controlled by diffusion along grain boundaries at 1173 K and through the bulk at 1213 and 1243 K for a two-phase titanium alloy. In the CA model, the coarsening rate was inversely proportional to the 3rd power of the average grain radius for coarsening controlled by diffusion along grain boundaries, and in- versely proportional to the 2nd power of the average grain radius for coarsening controlled by diffusion through the bulk. The CA model was used to predict the morphological evolution, average grain size, topological characteristics, and the coarsening kinetics of the Ti-6A1-2Zr-IMo-IV (TA15) alloy during static coarsening. The predicted results were found to be in good agreement with the corresponding experimental results. In addition, the effects of the volume fraction of the α phase (Vf) and the initial grain size on the coarsening were discussed. It was found that the predicted coarsening kinetic constant increased with Vf and that a larger initial grain size led to slower coarsening.