(1. 河南科技大學(xué) 材料科學(xué)與工程學(xué)院，洛陽 471003；
2. 上海交通大學(xué) 材料科學(xué)與工程學(xué)院，上海 200030；
3.上海理工大學(xué) 機(jī)械工程學(xué)院，上海 200093 )
摘 要: 利用相場法模型，模擬研究含不同尺寸和面積分?jǐn)?shù)的球形和盤形粒子的二維系統(tǒng)中晶粒的長大特征，揭示第二相粒子對晶粒長大的影響規(guī)律。結(jié)果表明：初始階段晶粒長大符合長大指數(shù)n 為0.3~0.4的指數(shù)長大規(guī)律，其n與系統(tǒng)單位面積所含的粒子數(shù)量密切相關(guān)；晶粒長大過程中絕大多數(shù)粒子位于晶界處，其最終的平均晶粒半徑可以用Zener關(guān)系表示；當(dāng)粒子尺寸和面積分?jǐn)?shù)一定時，粒子的形狀對晶粒的長大過程沒有明顯影響。
關(guān)鍵字: 第二相粒子；晶粒長大；相場法模型；Zener釘扎；模擬
second-phase particles on grain growth
（1. School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China;
2. School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai 200030, China;
3. College of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China）
Abstract:The grain growth behaviors of two-dimensional systems containing dispersed spherical and discal second-phases particles with different sizes and area fractions were simulated, and their effect law on the grain growth was revealed using a phase field model. The results show that initially the grain growth follows the power growth law with the growth index n ranging between 0.3 and 0.4, and n strongly correlates to the amounts of particles per area. Most particles are located at the grain boundaries during grain growth and the final mean grain radius is predicted by Zener-relation. The shape of particles has little effect on the grain growth when these particles are of the same size and area fraction.
Key words: second-phase particles; grain growth; phase field model; Zener-pinning; simulation
