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The Effect of Particle-Pinning on Grain Size distributions in 2D Simulations of Grain Growth

机译:晶粒长大的二维模拟中颗粒固定对晶粒尺寸分布的影响

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We have extended a 2D front-tracking simulation of grain growth to treat the effects of particles on the evolution of grain structures. Our results are similar to those obtained in experiments on soap froths with pinning, and also similar to resutls obtained using simulations based on the Potts model. We find that when particels cause grain growth stagnation, the mean stagnant grain size is inversely proportional to approximately the squeare root of the number of particles per area, independent of the particle radius (for small particle radius relative to the average grain size). For a fixed particle radius, this corresponds to a scaling with the inverse of the square root of the particle area fraction, as suggested by simulations based on the Potts model. However, in contrast with resutls from simulations based on the Potts model, we find that the grain size distribution at stagnation is significantly differnet from the 'steady-state' grain size distribution characteristic of the topology of the grains and the stronger pinning in effect in our simulations and in froths.
机译:我们扩展了晶粒生长的二维前跟踪模拟,以处理粒子对晶粒结构演变的影响。我们的结果类似于在带钉扎的肥皂泡沫实验中获得的结果,也类似于使用基于Potts模型的模拟获得的结果。我们发现,当微粒导致晶粒生长停滞时,平均停滞晶粒尺寸与单位面积颗粒数的挤压根近似成反比,而与颗粒半径无关(对于相对于平均晶粒尺寸而言较小的颗粒半径)。对于固定的粒子半径,这对应于与粒子面积分数的平方根成反比的缩放比例,如基于Potts模型的模拟所建议的那样。然而,与基于Potts模型的模拟结果相反,我们发现停滞时的晶粒尺寸分布与晶粒拓扑的“稳态”晶粒尺寸分布特征存在显着差异,且钉扎作用更强。我们的模拟和泡沫。

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