DETERMINATION OF GRAIN DENSITY IN SPACE-FILLING GEOMETRIES FROM MEASURABLE 2-DIMENSIONAL PARAMETERS

被引:17
作者
HANSON, KL
机构
[1] Materials and Molecular Research Division, Lawrence Berkeley Laboratory, University of California, Berkeley
来源
ACTA METALLURGICA | 1979年 / 27卷 / 04期
关键词
D O I
10.1016/0001-6160(79)90003-8
中图分类号
TF [冶金工业];
学科分类号
0806 ;
摘要
A procedure for determining grain density, Nv, in space-filling geometries from measurable two-dimensional parameters is presented. A variety of microstructure morphologies are considered and all tend to obey Nv = (2.4150√a - 1.4552l)-3 where ā = average grain area on a random two-dimensional section and l̄ = the average intercept length of a random test line with grain surfaces. This relationship is verified by comparison with many computer-simulated microstructures and various regular space-filling geometries. Theoretical considerations are presented suggesting why this basic relationship is expected. A practical method for applying this relationship is described. An extension of this procedure to non-space-filling geometries is discussed. © 1979.
引用
收藏
页码:515 / 521
页数:7
相关论文
共 6 条
[1]  
DeHoff R. T., 1968, QUANTITATIVE MICROSC
[2]  
EXNER HE, 1972, INT METALL REV, V17, P25, DOI DOI 10.1179/IMTLR.1972.17.1.25
[3]  
MEIJERING JL, 1953, PHILIPS RES REP, V8, P270
[4]  
Underwood E., 1970, QUANTITATIVE STEREOL
[5]  
Weibel E., 1963, ANESTHESIOLOGY
[6]  
1973, METALS HDB, V8, P37