基于晶粒长大拓扑依赖性的准稳态三维晶粒尺寸分布  

QUASI-STATIONARY THREE-DIMENSIONAL GRAIN SIZE DISTRIBUTION WITH TOPOLOGYDEPENDENCY OF GRAIN GROWTH

作　　者：王超[1] 刘国权[1] 于海波[1] 

机构地区：[1]北京科技大学材料科学与工程学院,北京100083

出　　处：《金属学报》2004年第12期1233-1237,共5页Acta Metallurgica Sinica

基　　金：国家自然科学基金项目50171008;50334010资助

摘　　要：基于三维个体晶粒表面积的变化率与晶粒拓扑性质之间的定量关系和晶粒尺寸-面数关系的假设,推导了一个拓扑相 关的个体晶粒长大速率方程.该方程表明,个体晶粒的尺寸变化率不仅与其自身尺寸有关,而且也与拓扑特征有关.在此基础上, 借鉴最新的关于粒子粗化理论中的晶粒长大连续方程,对三维晶粒长大过程准稳态阶段的晶粒尺寸分布进行了求解.结果显示,所 得准稳态三维晶粒尺寸分布是一个单参数函数族.该结论得到了顶点法、基元演化法、相场模型和Monte Carlo法这4种晶粒 长大仿真方法所得三维准稳态晶粒尺寸分布数据的支持.A new topology-related individual grain growth rate equation was derived under the assumption of the statistical grain model. It depicts that the changing rate of grains is related to the grain size and topological properties. The continuity equation from the particle coarsening theory was adapted to grain growth. Based on the grain growth rate equation and the continuity equation, an asymptotic solution was obtained. The solution is an one-parameter family of distributions other than a unique distribution function, which is supported by quasi-stationary grain size distributions obtained from simulations of vertex model, surface evolver, phase-field model and Monte Carlo method.

关 键 词：晶粒长大 晶粒尺寸分布 准稳态 计算机仿真 

分 类 号：TG111.7[金属学及工艺—物理冶金] TP391[金属学及工艺—金属学]