Influence of cellular automata step length on simulation results of grain growth
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摘要: 采用一種預先設定步長的元胞自動機模型模擬晶粒長大,研究了步長對模擬結果的影響.在等效時間相同的情況下,采用較大的步長導致模擬完成時晶粒尺寸較小,但其晶粒尺寸分布更符合Weibull函數,晶粒面積比(An/Aa)與晶粒邊數之間也更符合線性關系.無論采用哪種步長,模擬過程中平均晶粒邊數均接近6,模擬后的組織中晶粒邊數分布符合正態分布,且隨步長的減小符合程度提高.綜合考慮,對于實際材料晶粒長大過程的模擬仿真,采用100s步長可以獲得較好的結果.Abstract: A cellular automata method with determined step length was used to simulate normal grain growth,and the influence of step length on the simulation results was investigated.Within the same equivalent time,the use of a larger step length leads to a smaller grain size,the grain size distribution accords well with the Weibull function,and the correlation between grain area ratio (An/Aa) and grain sides is closer to a linear relation.Whichever step length is used,the average grain sides in the simulation process are close to 6,the distribution of grain sides after simulation accords with the normal distribution,and the agreement is improved with the decrease in step length.In a comprehensive consideration,a step length of 100 s is in favor of simulating the grain growth of actual materials.
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Key words:
- cellular automata /
- step length /
- grain growth /
- grain size distribution
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