Derivation of Hillert-type 3D grain growth rate model with topological considerations and discussion on its grain size parameter  

作　　者：GuoquanLiu HaiboYu XiaovanSong XianggeQin ChaoWang 

机构地区：[1]MaterialsScienceandEngineeringSchool.UniversityofScienceandTechnologyBeijing.Beijing100083.China [2]SchoolofMaterialsScienceandEngineering.BeijingUniversityofTechnology.Beijing100022.China

出　　处：《Journal of University of Science and Technology Beijing》2004年第3期212-215,共4页北京科技大学学报（英文版）

基　　金：This project was financially supported by the National Natural Science Foundation of China (No.50171008 and No.50271009).

摘　　要：A Hillert-type three-dimensional grain growth rate model was derived throughthe grain topology-size correlation model, combined with a topology-dependent grain growth rateequation in three dimensions. It shows clearly that the Hillert-type 3D grain growth rate model mayalso be described with topology considerations of microstructure. The size parameter bearing in themodel is further discussed both according to the derived model and in another approach with the aidof quantitative relationship between the grain size and the integral mean curvature over grainsurface. Both approaches successfully demonstrate that, if the concerned grains can be wellapproximated by a space-filling convex polyhedra in shape, the grain size parameter bearing in theHillert-type 3D grain growth model should be a parameter proportional to the mean grain tangentradius.A Hillert-type three-dimensional grain growth rate model was derived throughthe grain topology-size correlation model, combined with a topology-dependent grain growth rateequation in three dimensions. It shows clearly that the Hillert-type 3D grain growth rate model mayalso be described with topology considerations of microstructure. The size parameter bearing in themodel is further discussed both according to the derived model and in another approach with the aidof quantitative relationship between the grain size and the integral mean curvature over grainsurface. Both approaches successfully demonstrate that, if the concerned grains can be wellapproximated by a space-filling convex polyhedra in shape, the grain size parameter bearing in theHillert-type 3D grain growth model should be a parameter proportional to the mean grain tangentradius.

关 键 词：3D grain growth theoretic model topology grain size parameter 

分 类 号：TG111[金属学及工艺—物理冶金]