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

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.

Change in Grain Size Distribution during Grain Growth

1992 ◽  
Vol 94-96 ◽  
pp. 325-330 ◽  
Author(s):  
Y. Takayama ◽  
T. Tozawa ◽  
H. Kato ◽  
Norio Furushiro ◽  
S. Hori
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Growth ◽  
Grain Size Distribution

Effect of texture on the development of grain size distribution during normal grain growth

1996 ◽  
Vol 34 (8) ◽  
pp. 1225-1230 ◽  
Author(s):  
S. Vogel ◽  
P. Klimanek ◽  
D.Juul Jensen ◽  
H. Richter
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Growth ◽  
Grain Size Distribution

scholarly journals Grain Size Distribution during Grain Growth of Titanium

1989 ◽  
Vol 53 (2) ◽  
pp. 164-169
Author(s):  
Yoshimasa Takayama ◽  
Tatsumi Tozawa ◽  
Hajime Kato ◽  
Norio Furushiro ◽  
Shigenori Hori
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Growth ◽  
Grain Size Distribution

The Correlation Theory of 2D Normal Grain Growth

2004 ◽  
Vol 467-470 ◽  
pp. 1081-1086 ◽  
Author(s):  
M.W. Nordbakke ◽  
N. Ryum ◽  
Ola Hunderi
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Growth ◽  
Grain Size Distribution ◽  
Computer Simulations ◽  
Mean Field Theory ◽  
Mean Field ◽  
Grain Structures ◽  
Spatial Grain ◽  
Kinetics Of

Computer simulations of 2D normal grain growth have shown that size correlations between adjacent grains exist in 2D grain structures. These correlations prevail during the coarsening process and influence on the kinetics of the process and on the grain size distribution. Hillert’s analysis starts with the assumption that all grains in the structure have the same environment. Since computer simulations contradict this assumption, the mean-field theory for normal grain growth needs to be modified. A first attempt was made by Hunderi and Ryum, who modified Hillert’s growth law to include the effect of spatial grain size correlations. In the 1D case the distributions derived by means of the modified growth law agreed well with simulation data. However, the distribution derived for 2D grain growth retained unwanted properties of the Hillert distribution. We review some recent progress in developing a mean-field statistical theory. A paradox related to curvilinear polygons is shown to support the expectation that the grain size distribution has a finite cutoff.

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