一个基于平均<em>N</em>面体模型的晶粒长大速率方程

金属学报

2009, Vol. 45

Issue (12): 1421-1424

论文

本期目录 | 过刊浏览

一个基于平均N面体模型的晶粒长大速率方程

岳景朝^1;2;王浩¹;刘国权^1;3;栾军华¹

1. 北京科技大学材料科学与工程学院; 北京 100083
2. 中钢集团邢台机械轧辊有限公司; 邢台 054025
3. 北京科技大学新金属材料国家重点实验室; 北京 100083

A GRAIN GROWTH RATE EQUATION BASED ON AVERAGE N–HEDRA MODEL

YUE Jingchao ^1;2; WANG Hao ¹; LIU Guoquan ^1;3; LUAN Junhua ¹

1. School of Materials Science and Engineering; University of Science and Technology Beijing; Beijing 100083
2. Sinosteel Xingtaimachinery and Millroll Co.; Ltd; Xingtai 054025
3. State Key Laboratory for Advanced Metals and Materials; University of Science and Technology Beijing; Beijing 100083

引用本文:

岳景朝王浩刘国权栾军华. 一个基于平均N面体模型的晶粒长大速率方程[J]. 金属学报, 2009, 45(12): 1421-1424.
, , , . A GRAIN GROWTH RATE EQUATION BASED ON AVERAGE N–HEDRA MODEL[J]. Acta Metall Sin, 2009, 45(12): 1421-1424.

全文: PDF(430 KB)

摘要:

基于Glicksman近期提出的平均N面体模型(ANHs), 研究了拓扑分组下晶粒表面积的变化规律, 导出了一个可由简单数学关系式近似表示的具有拓扑依赖性的晶粒长大速率方程. 速率方程显示晶粒的表面积变化速率与其面数的平方根近似成线性关系.

关键词 ：晶粒长大, 平均N面体模型, 拓扑学

Abstract：

The law of grain growth is one of the classic problems in materials science. In 1952, an exact formula named von Neumann relation was derived for grain growth in two–dimensional space that the growth rate of a grain depends only on its number of sides n. In three dimensions, topology– dependent rate equations of grain growth are usually proposed to describe the individual grain growth. Such equations can describe the mean growth rate of grains within the same topological class and can be used to derive general properties of polycrystals. In this paper, based on average N–hedra (ANHs) model proposed by Glicksman recently, the law of the change of grain surface area was studied and a topology–dependent rate equation of grain surface area change was derived. Both the contributions of the grain boundary motion and grain edges motion to the grin groth were considered in the derivation. This topology–dependent rate equation can be expressed through a simple relation that the change rate of grain surface area is proportional to the square root of the number of grain faces. This result can assist in a better understanding of the process of grain growth rom a statistical point of view and is similar to the reported topology-dependent grain growth equations.

Key words： grain growth average N-hedra (ANHs) topology

收稿日期: 2008-12-15

ZTFLH:

TG111

基金资助:

国家自然科学基金项目50671010, 50901008和50871017以及高等学校博士学科点专项科研基金项目200800080003资助

作者简介: 岳景朝, 男, 1984年生, 硕士生

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https://www.ams.org.cn/CN/ 或 https://www.ams.org.cn/CN/Y2009/V45/I12/1421

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