用相场方法对二维晶粒长大过程进行仿真. 结果表明, 相场仿真所得准稳态晶粒尺寸分布, 既可以用Weibull函数又可以用Louat函数很好地拟合, 原因是在一定条件下两种分布函数的图像完全重合或非常相似. 相场方法得到的晶粒拓扑分布经过演变同样达到了自相似或准稳态, 但表现为对数正态分布形式. 晶粒尺寸与晶粒边数间呈非线性关联. 结果既与已有高纯度铝带实验结果相吻合, 又与已有Monte Carlo法仿真结果一致.
The quasi--steady state grain size distribution in the 2D grain growth process obtained by phase field method can be described well either by Weibull function or Louat distribution function, since the plots of two functions are exactly the same or very similar to each other under certain conditions. The grain side number distribution also achieves self--similarity or the quasi--steady state finally, however, it approaches a lognormal distribution instead. The relationship between the average number of grain sides and grain size appears to be nonlinear. These results agree well not only with those of high purity Al foil but also those obtained from our Monte Carlo simulation.
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