%0 Journal Article
%T QUASI-STATIONARY THREE-DIMENSIONAL GRAIN SIZE DISTRIBUTION WITH TOPOLOGY DEPENDENCY OF GRAIN GROWTH<br>基于晶粒长大拓扑依赖性的准稳态三维晶粒尺寸分布
%A WANG Chao
%A LIU Guoquan
%A YU Haibo
%A <br>王 超
%A 刘国权
%A 于海波
%J 金属学报
%D 2004
%I 
%X A new topology-related individual grain growth rate equation was derived under the assumption of the statistical grain model. It depicts that the changing rate of grains is related to the grain size and topological properties. The continuity equation from the particle coarsening theory was adapted to grain growth. Based on the grain growth rate equation and the continuity equation, an asymptotic solution was obtained. The solution is an one-parameter family of distributions other than a unique distribution function, which is supported by quasi-stationary grain size distributions obtained from simulations of vertex model, surface evolver, phase-field model and Monte Carlo method.
%K grain growth
%K grain size distribution
%K quasi-stationary state
%K computer simulation<br>晶粒长大
%K 晶粒尺寸分布
%K 准稳态
%K 计算机仿真
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=AB188D3B70B071C57EB64E395D864ECE&jid=B061E1135F1CBDEE96CD96C109FEAD65&aid=3C4349F64B96C599&yid=D0E58B75BFD8E51C&vid=1371F55DA51B6E64&iid=59906B3B2830C2C5&sid=603BC00D7DC5FEAC&eid=72EB001A9B3C78CE&journal_id=0412-1961&journal_name=金属学报&referenced_num=0&reference_num=14