TOPOLOGICAL EVENTS IN 2-DIMENSIONAL GRAIN-GROWTH - EXPERIMENTS AND SIMULATIONS

被引:24
作者
FRADKOV, VE
GLICKSMAN, ME
PALMER, M
RAJAN, K
机构
[1] Materials Engineering Department, Rensselaer Polytechnic Institute, Troy
来源
ACTA METALLURGICA ET MATERIALIA | 1994年 / 42卷 / 08期
基金
美国国家科学基金会;
关键词
D O I
10.1016/0956-7151(94)90213-5
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Grain growth in polycrystals is a process that occurs as a result of the vanishing of small grains. The mean topological class of vanishing two-dimensional (2-D) grains was found experimentally to be about 4.5. This result suggests that most vanishing grains are either 4- or 5-sided. A recent theory of 2-D grain growth is explicitly based on this fact, treating the switchings as random events. The process of shrinking of 4- and 5-sided two-dimensional grains was observed experimentally on polycrystalline films of transparent, pure succinonitrile (SCN). Grain shrinking was studied theoretically and simulated by computer (both dynamic and Monte Carlo). It was found that most shrinking grains are topologically stable and remain within their topological class until they are much smaller than their neighbors. We discuss differences which were found with respect to the behavior of 2-D polycrystals, a 2-D ideal soap froth, and a 2-D section of a 3-D grain structure.
引用
收藏
页码:2719 / 2727
页数:9
相关论文
共 42 条
[1]   STATISTICAL-THEORY OF 2-DIMENSIONAL GRAIN-GROWTH .1. THE TOPOLOGICAL FOUNDATION [J].
ABBRUZZESE, G ;
HECKELMANN, I ;
LUCKE, K .
ACTA METALLURGICA ET MATERIALIA, 1992, 40 (03) :519-532
[2]   NUMERICAL-SIMULATION OF A COARSENING TWO-DIMENSIONAL NETWORK [J].
BEENAKKER, CWJ .
PHYSICAL REVIEW A, 1988, 37 (05) :1697-1702
[3]   EVOLUTION OF TWO-DIMENSIONAL SOAP-FILM NETWORKS [J].
BEENAKKER, CWJ .
PHYSICAL REVIEW LETTERS, 1986, 57 (19) :2454-2457
[4]   GRAIN COORDINATION IN PLANE SECTIONS OF POLYCRYSTALS [J].
BLANC, M ;
MOCELLIN, A .
ACTA METALLURGICA, 1979, 27 (07) :1231-1237
[5]  
BRAKKE K, 1992, COMPUTATIONAL CRYSTA
[6]  
Brakke K., 1992, EXP MATH, V1, P141
[7]   A TOPOLOGICAL MODEL FOR PLANE SECTIONS OF POLYCRYSTALS [J].
CARNAL, E ;
MOCELLIN, A .
ACTA METALLURGICA, 1981, 29 (01) :135-143
[8]  
FLYVBERG H, 1992, PHYSICA A, V194, P298
[9]   A SOLVABLE MODEL FOR COARSENING SOAP FROTHS AND OTHER DOMAIN BOUNDARY NETWORKS IN 2 DIMENSIONS [J].
FLYVBJERG, H ;
JEPPESEN, C .
PHYSICA SCRIPTA, 1991, T38 :49-54
[10]  
FLYVBJERG H, 1993, PHYS REV A, V42