元胞自动机模拟晶粒长大的步长设定对模拟结果的影响

Influence of cellular automata step length on simulation results of grain growth

  • 摘要: 采用一种预先设定步长的元胞自动机模型模拟晶粒长大,研究了步长对模拟结果的影响.在等效时间相同的情况下,采用较大的步长导致模拟完成时晶粒尺寸较小,但其晶粒尺寸分布更符合Weibull函数,晶粒面积比(An/Aa)与晶粒边数之间也更符合线性关系.无论采用哪种步长,模拟过程中平均晶粒边数均接近6,模拟后的组织中晶粒边数分布符合正态分布,且随步长的减小符合程度提高.综合考虑,对于实际材料晶粒长大过程的模拟仿真,采用100s步长可以获得较好的结果.

     

    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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