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

Acta Metall Sin

2009, Vol. 45

Issue (12): 1421-1424 DOI:

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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

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YUE Jingchao WANG Hao LIU Guoquan LUAN Junhua . A GRAIN GROWTH RATE EQUATION BASED ON AVERAGE N–HEDRA MODEL. Acta Metall Sin, 2009, 45(12): 1421-1424.

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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

Received: 15 December 2008

ZTFLH:	TG111
	O189

Fund:

Supported by National Natural Science Foundation of China (Nos.50671010, 50901008 and 50871017) and Specialized Research Fund for the Doctoral Program of Higher Education (No.200800080003)

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	YUE Jing-Zhao
	YU Gao
	LIU Guo-Quan
	LUAN Jun-Hua

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https://www.ams.org.cn/EN/ OR https://www.ams.org.cn/EN/Y2009/V45/I12/1421

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