基于热激活理论和曲率驱动机制的晶粒长大元胞自动机模拟
Cellular Automata Simulation for Grain Growth Based on Thermal Activation Theory and Curvature-Driven Mechanism
摘 要
参考已有的元胞自动机(CA)模型, 提出不同的元胞转变规则, 建立了基于热激活理论和曲率驱动机制的晶粒长大二维元胞自动机模型, 并利用圆形晶粒的收缩过程对模型进行了验证; 根据所建模型对晶粒长大过程进行模拟, 得到了晶粒显微组织的演变与动力学曲线, 分析了晶粒尺寸和晶粒边数的分布规律。结果表明: 晶粒长大是大晶粒吞噬小晶粒的过程; 晶粒稳定时应当为正六边形, 且晶界为直线; 晶粒长大指数为0.481, 与理论值接近; 晶粒尺寸和边数分布具有时间不变性, 不同边数的晶粒生长动力学不同; 模拟结果与相关理论和文献结论一致。
元胞自动机
计算机模拟
动力学
grain growth
cellular automata
computer simulation
kinetics
Abstract
Based on the thermal activation theory and curvature-driven mechanism, a 2D cellular automaton (CA) model with different state transition rules was built according to previous cellular automata models. The validity of the model was proved by the shrinking of circular grains. The grain growth was simulated by this model, the microstructure evolution and the kinetics curves of grain growth were obtained, and the distribution of grain size and grain boundary was analyzed. The results indicate that the grain growth is a process of big grain consuming small grain, and the stable grain should be a regular hexagon with rectilinear grain boundary. The growth exponent equals 0.481 close to the theoretical value. The grain size and side distributions keep unchanged with time. The simulation results by the present CA model accord with relative theory and results of other researchers.
中图分类号 TG111
所属栏目 物理模拟与数值模拟
基金项目 国家高技术研究发展计划(863计划)项目(2013AA031601); “十二五”国家科技支撑计划项目(2012BAF04B01)
收稿日期 2013/7/27
修改稿日期 2014/5/30
网络出版日期
作者单位点击查看
备注李声慈(1988-), 男, 江西赣州人, 博士研究生。
引用该论文: LI Sheng-ci,ZHU Guo-ming,KANG Yong-lin,LV Chao. Cellular Automata Simulation for Grain Growth Based on Thermal Activation Theory and Curvature-Driven Mechanism[J]. Materials for mechancial engineering, 2014, 38(9): 103～108
李声慈,朱国明,康永林,吕超. 基于热激活理论和曲率驱动机制的晶粒长大元胞自动机模拟[J]. 机械工程材料, 2014, 38(9): 103～108
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参考文献
【1】李旭, 周清, 陈明和, 等.基于晶界迁移率与晶界能各向异性的晶粒生长元胞自动机模拟［J］.机械工程材料, 2012, 36(7): 82-87.
【2】LIU Y, BAUDIN T, PENELLE R.Simulation of normal grain growth by cellular automata［J］.Scripta Materialia, 1996, 34(11): 1679-1683.
【3】GEIGER J, ROSZ A, BARKCZY P.Simulation of grain coarsening in two dimensions by cellular-automaton［J］.Acta Mater, 2001,49: 623-629.
【4】花福安, 杨院生, 郭大勇, 等.基于曲率驱动机制的晶粒生长元胞自动机模型［J］.金属学报, 2004, 40(11): 1210-1214.
【5】DING H L, HE Y Z, LIU L F, et al.Cellular automata simulation of grain growth in three dimensions based on the lowest-energy principle［J］.Journal of Crystal Growth, 2006, 293: 489-497.
【6】麻晓飞, 关小军, 刘运腾, 等.基于改进转变规则的晶粒长大CA模型［J］.中国有色金属学报, 2008, 18(1): 138-144.
【7】赵宪明, 郭娟, 吴迪.晶粒正常长大过程的元胞自动机模拟［J］.钢铁研究学报, 2009, 21(9): 28-32.
【8】RAGHAVAN S, SAHAY S S.Modeling the topological fea-tures during grain growth by cellular automaton［J］.Computational Materials Science, 2009, 46: 92-99.
【9】MAREK M.Grid anisotropy reduction for simulation of growth processes with cellular automaton［J］.Physica D, 2013, 253: 73-84.
【10】胡庚祥, 蔡珣, 戎咏华.材料科学基础［M］.2版.上海: 上海交通大学出版社, 2006: 204.
【11】INOUE A, NITTA H, IIJIMA Y.Grain boundary self-diffusion in high purity iron［J］.Acta Materialia, 2007, 55: 5910-5916.
【12】CHEN F, CUI Z, LIU J, et al.Mesoscale simulation of the high-temperature austenitizing and dynamic recrystallization by coupling a cellular automaton with a topology deformation technique［J］.Materials Science and Engineering:A, 2010, 527: 5539-5549.
【13】范昌胜, 郭强, 李斌.基于金属热成形过程的晶粒粗化现象数值模拟［J］.热加工工艺, 2012, 41(17): 113-116.
【14】YU W H, PALMIERE E J, BANKS S P, et al.Cellular automata modelling of austenite grain coarsening during reheating-I. normal grain coarsening［J］.Journal of University of Science and Technology Beijing, 2004, 11(6): 517-523.
【15】黄顺喆, 厉勇, 王春旭, 等.9310钢的奥氏体晶粒长大规律研究［J］.热加工工艺, 2010, 39(18): 31-33.
【16】武磊, 刘雅政, 程晓杰, 等.元胞自动机模拟晶粒长大的步长设定对模拟结果的影响［J］.北京科技大学学报, 2010, 32(6): 739-743.
【2】LIU Y, BAUDIN T, PENELLE R.Simulation of normal grain growth by cellular automata［J］.Scripta Materialia, 1996, 34(11): 1679-1683.
【3】GEIGER J, ROSZ A, BARKCZY P.Simulation of grain coarsening in two dimensions by cellular-automaton［J］.Acta Mater, 2001,49: 623-629.
【4】花福安, 杨院生, 郭大勇, 等.基于曲率驱动机制的晶粒生长元胞自动机模型［J］.金属学报, 2004, 40(11): 1210-1214.
【5】DING H L, HE Y Z, LIU L F, et al.Cellular automata simulation of grain growth in three dimensions based on the lowest-energy principle［J］.Journal of Crystal Growth, 2006, 293: 489-497.
【6】麻晓飞, 关小军, 刘运腾, 等.基于改进转变规则的晶粒长大CA模型［J］.中国有色金属学报, 2008, 18(1): 138-144.
【7】赵宪明, 郭娟, 吴迪.晶粒正常长大过程的元胞自动机模拟［J］.钢铁研究学报, 2009, 21(9): 28-32.
【8】RAGHAVAN S, SAHAY S S.Modeling the topological fea-tures during grain growth by cellular automaton［J］.Computational Materials Science, 2009, 46: 92-99.
【9】MAREK M.Grid anisotropy reduction for simulation of growth processes with cellular automaton［J］.Physica D, 2013, 253: 73-84.
【10】胡庚祥, 蔡珣, 戎咏华.材料科学基础［M］.2版.上海: 上海交通大学出版社, 2006: 204.
【11】INOUE A, NITTA H, IIJIMA Y.Grain boundary self-diffusion in high purity iron［J］.Acta Materialia, 2007, 55: 5910-5916.
【12】CHEN F, CUI Z, LIU J, et al.Mesoscale simulation of the high-temperature austenitizing and dynamic recrystallization by coupling a cellular automaton with a topology deformation technique［J］.Materials Science and Engineering:A, 2010, 527: 5539-5549.
【13】范昌胜, 郭强, 李斌.基于金属热成形过程的晶粒粗化现象数值模拟［J］.热加工工艺, 2012, 41(17): 113-116.
【14】YU W H, PALMIERE E J, BANKS S P, et al.Cellular automata modelling of austenite grain coarsening during reheating-I. normal grain coarsening［J］.Journal of University of Science and Technology Beijing, 2004, 11(6): 517-523.
【15】黄顺喆, 厉勇, 王春旭, 等.9310钢的奥氏体晶粒长大规律研究［J］.热加工工艺, 2010, 39(18): 31-33.
【16】武磊, 刘雅政, 程晓杰, 等.元胞自动机模拟晶粒长大的步长设定对模拟结果的影响［J］.北京科技大学学报, 2010, 32(6): 739-743.
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