On the basis of analyzing some limitations in the existing algorithm, a modified Monte Carlo methodwas proposed to simulate two-dimensional normal grain growth. With the modified method. the simulated time exponent of...On the basis of analyzing some limitations in the existing algorithm, a modified Monte Carlo methodwas proposed to simulate two-dimensional normal grain growth. With the modified method. the simulated time exponent of grain growth attained n=0.49±0.01, which is very close to the theoretical value of the steady graingrowth n=0.5, indicating the possibility to investigate the total process of normal grain growth. The relationbetween the Hillert and the von Neumann equations were studied and identified, the Hillert's basic equation hasbeen found to hold during the normal grain growth. The grain size distribution was found to van continuouslyand slowly with the simulated time in the total growth process, the lognormal and the Hillert functions may betwo types of the expression forms during its transition, and the later seemingly corresponds at the distribution ofthe steady stage were n≈0.50.展开更多
Based on Hillert's 3D grain growth rate equation, the grain growth continuity equation was solved. The results show that there are an infinite number of 3D quasi-stationary grain size distributions. This conclusio...Based on Hillert's 3D grain growth rate equation, the grain growth continuity equation was solved. The results show that there are an infinite number of 3D quasi-stationary grain size distributions. This conclusion has gained strong supports from results of different computer simulations reported in the literature.展开更多
Behaviors of the quasi-steady state grain size distribution and thecorresponding topological relationship were investigated using the Potts Monte Carlo method tosimulate the normal grain growth process. The observed q...Behaviors of the quasi-steady state grain size distribution and thecorresponding topological relationship were investigated using the Potts Monte Carlo method tosimulate the normal grain growth process. The observed quasi-steady state grain size distributioncan be well fit by the Weibull function rather than the Hillert distribution. It is also found thatthe grain size and average number of grain sides are not linearly related. The reason that thequasi-steady state grain size distribution deviates from the Hillert distribution may contribute tothe nonlinearity of the relation of the average number of grain sides with the grain size. Theresults also exhibit the reasonability of the relationship deduced by Mullins between the grain sizedistribution and the average number of grain sides.展开更多
文摘On the basis of analyzing some limitations in the existing algorithm, a modified Monte Carlo methodwas proposed to simulate two-dimensional normal grain growth. With the modified method. the simulated time exponent of grain growth attained n=0.49±0.01, which is very close to the theoretical value of the steady graingrowth n=0.5, indicating the possibility to investigate the total process of normal grain growth. The relationbetween the Hillert and the von Neumann equations were studied and identified, the Hillert's basic equation hasbeen found to hold during the normal grain growth. The grain size distribution was found to van continuouslyand slowly with the simulated time in the total growth process, the lognormal and the Hillert functions may betwo types of the expression forms during its transition, and the later seemingly corresponds at the distribution ofthe steady stage were n≈0.50.
基金the National Natural Science Foundation of China (Grant No. 50171008).
文摘Based on Hillert's 3D grain growth rate equation, the grain growth continuity equation was solved. The results show that there are an infinite number of 3D quasi-stationary grain size distributions. This conclusion has gained strong supports from results of different computer simulations reported in the literature.
基金This work was supported by the National Natural Science Foundation of China (No.50171008)
文摘Behaviors of the quasi-steady state grain size distribution and thecorresponding topological relationship were investigated using the Potts Monte Carlo method tosimulate the normal grain growth process. The observed quasi-steady state grain size distributioncan be well fit by the Weibull function rather than the Hillert distribution. It is also found thatthe grain size and average number of grain sides are not linearly related. The reason that thequasi-steady state grain size distribution deviates from the Hillert distribution may contribute tothe nonlinearity of the relation of the average number of grain sides with the grain size. Theresults also exhibit the reasonability of the relationship deduced by Mullins between the grain sizedistribution and the average number of grain sides.