摘要
采用Potts模型Monte Carlo方法对3种现存的三维个体晶粒长大速率拓扑依赖性方程进行了仿真验证.结果表明,Rivier速率方程认为晶粒体积变化率dV_f/dt与晶粒面数f成线性关系,与仿真结果明显不符,不适用于描述三维晶粒长大过程的动力学.当晶粒面数f(?)8时,Yu-Liu速率方程和MacPherson-Srolovitz速率方程均与仿真结果很好吻合,表明这两者均可以用来定量描述三维晶粒长大过程的动力学;当f<8时,这两个方程均与仿真结果有显著差异.
Three existing topological dependence equations for the growth rate of 3D individual grains have been testified using a new Potts model Monte Carlo simulation. The result showed that the volume change rate dVf/dt is related to the face number f by a curve, and thus, Rivier's grain growth rate equation, dVf/dt ∝ f, is not confirmed. Yu-Liu's and MacPherson-Srolovitz's grain growth rate equations are confirmed by mean of the simulation in the case of f ≥ 8, but as f 〈 8, are invalid.
出处
《金属学报》
SCIE
EI
CAS
CSCD
北大核心
2008年第1期13-18,共6页
Acta Metallurgica Sinica
基金
国家自然科学基金50671010~~