Estimation of three-dimensional grain size distribution from microstructural serial sections

2001 ◽  
Vol 46 (4) ◽  
pp. 329-335 ◽  
Author(s):  
Asim Tewari ◽  
Arun M Gokhale
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Three Dimensional ◽  
Serial Sections

Topology Based Growth Law and New Analytical Grain Size Distribution Function of 3D Grain Growth

2007 ◽  
Vol 558-559 ◽  
pp. 1183-1188 ◽  
Author(s):  
Peter Streitenberger ◽  
Dana Zöllner
Keyword(s):  
Grain Size ◽  
Distribution Function ◽  
Size Distribution ◽  
Grain Growth ◽  
Grain Size Distribution ◽  
Three Dimensional ◽  
Size Distribution Function ◽  
Change Rate ◽  
Grain Sizes ◽  
Self Similar

Based on topological considerations and results of Monte Carlo Potts model simulations of three-dimensional normal grain growth it is shown that, contrary to Hillert’s assumption, the average self-similar volume change rate is a non-linear function of the relative grain size, which in the range of observed grain sizes can be approximated by a quadratic polynomial. In particular, based on an adequate modification of the effective growth law, a new analytical grain size distribution function is derived, which yields an excellent representation of the simulated grain size distribution.

scholarly journals Three-dimensional Grain Size Distribution in SUS304 Stainless Steel.

1994 ◽  
Vol 34 (2) ◽  
pp. 186-190 ◽  
Author(s):  
Kiyotaka Matsuura ◽  
Youichi Itoh ◽  
Masayuki Kudoh ◽  
Tatsuya Ohmi ◽  
Kuniyoshi Ishii
Keyword(s):  
Grain Size ◽  
Stainless Steel ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Three Dimensional ◽  
Sus304 Stainless Steel

scholarly journals ON ESTIMATION AND HYPOTHESIS TESTING OF THE GRAIN SIZE DISTRIBUTION BY THE SALTYKOV METHOD

2011 ◽  
Vol 27 (3) ◽  
pp. 163 ◽  
Author(s):  
Yuri Gulbin
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Three Dimensional ◽  
Size Distributions ◽  
Three Dimensional Model ◽  
Testing Procedures ◽  
Accuracy And Precision ◽  
Grain Size Distributions ◽  
Distribution Testing

The paper considers the problem of validity of unfolding the grain size distribution with the back-substitution method. Due to the ill-conditioned nature of unfolding matrices, it is necessary to evaluate the accuracy and precision of parameter estimation and to verify the possibility of expected grain size distribution testing on the basis of intersection size histogram data. In order to review these questions, the computer modeling was used to compare size distributions obtained stereologically with those possessed by three-dimensional model aggregates of grains with a specified shape and random size. Results of simulations are reported and ways of improving the conventional stereological techniques are suggested. It is shown that new improvements in estimating and testing procedures enable grain size distributions to be unfolded more efficiently.

scholarly journals Three dimensional grain size distribution during grain growth in aluminum.

1990 ◽  
Vol 40 (8) ◽  
pp. 612-618 ◽  
Author(s):  
Yoshimasa TAKAYAMA ◽  
Tatsumi TOZAWA ◽  
Hajime KATO ◽  
Hiroshi SHIRAI
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Growth ◽  
Grain Size Distribution ◽  
Three Dimensional

Grain-boundary resistivity versus grain size distribution in three-dimensional polycrystals

2006 ◽  
Vol 88 (14) ◽  
pp. 141920 ◽  
Author(s):  
G. Dezanneau ◽  
A. Morata ◽  
A. Tarancón ◽  
M. Salleras ◽  
F. Peiró ◽  
...  
Keyword(s):  
Grain Size ◽  
Grain Boundary ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Three Dimensional ◽  
Grain Boundary Resistivity
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