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不同初始組織的3D晶粒長大仿真及其準(zhǔn)穩(wěn)態(tài)分布研究
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國家自然科學(xué)基金資助項(xiàng)目(50671010)


Simulation of 3D Grain Growth from Different Initial States and their Quasi-Stationary State Distributions
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    摘要:

    設(shè)計(jì)了晶粒尺寸分別呈β=2.96 與β=3.47的Weibull分布的2種3D初始晶粒組織,采用Potts模型Monte Carlo改進(jìn)算法進(jìn)行了界面曲率驅(qū)動的3D晶粒長大過程的仿真研究。晶粒仿真長大過程遵循拋物線長大規(guī)律,且晶粒生長指數(shù)非常接近于理論值0.5。仿真結(jié)果表明:源于2種初始組織所得準(zhǔn)穩(wěn)態(tài)晶粒尺寸均趨于β=2.80±0.03的同種Weibull分布,準(zhǔn)穩(wěn)態(tài)晶粒面數(shù)則均呈對數(shù)正態(tài)分布。進(jìn)一步分析發(fā)現(xiàn),劉國權(quán)及其合作者近年來基于不同長大速率理論模型導(dǎo)出的兩類3D準(zhǔn)穩(wěn)態(tài)晶粒尺寸分布函數(shù)與本文仿真實(shí)驗(yàn)所得數(shù)據(jù)相互吻合。

    Abstract:

    The 3D capillarity-driven grain growth process was simulated using a modified Potts Monte Carlo technique, starting from two initial microstructures with the grain size distributions well described by Weibull functions of b=2.96 and b=3.47, respectively. The process obeys the grain growth parabolic law very well, with the time exponent n very close to 0.5. The results show that the quasi-stationary grain size distributions finally turn to the same Weibull distribution with b=2.80±0.03 for two different initial microstructures and the grain face number distributions turn to a lognormal distribution. The two analytical 3D grain size distribution functions coincide with the two kinds of functions derived by Liu Guoquan and his coworkers recently based on the different grain growth rate equations.

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王 浩,劉國權(quán),秦湘閣.不同初始組織的3D晶粒長大仿真及其準(zhǔn)穩(wěn)態(tài)分布研究[J].稀有金屬材料與工程,2009,38(1):126~130.[Wang Hao, Liu Guoquan, Qin Xiangge. Simulation of 3D Grain Growth from Different Initial States and their Quasi-Stationary State Distributions[J]. Rare Metal Materials and Engineering,2009,38(1):126~130.]
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  • 收稿日期:2008-01-17
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