On the quasi-stationary grain size distribution from two Gamma size distributions in three-dimensional grain growth

2007 ◽  
Vol 61 (21) ◽  
pp. 4262-4266 ◽  
Author(s):  
Chao Wang ◽  
Guoquan Liu ◽  
Guangfu Wang ◽  
Wenbin Xue
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Growth ◽  
Grain Size Distribution ◽  
Three Dimensional ◽  
Size Distributions

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 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

scholarly journals Potts Model Simulation of Grain Size Distributions During Final Stage Sintering

1998 ◽  
Vol 529 ◽  
Author(s):  
P. Zeng ◽  
V. Tikare
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Growth ◽  
Grain Size Distribution ◽  
Model Simulation ◽  
Monte Carlo Model ◽  
Size Distributions ◽  
Grain Boundary Mobility ◽  
Pinning Effect ◽  
Grain Size Distributions

AbstractThe Potts Monte Carlo model was used to simulate microstructural evolution and characterize grain size distribution during the final stages of sintering. Simultaneous grain growth, pore migration and pore shrinkage were simulated in a system with an initial porosity of 10% with varying ratios of grain boundary mobility to pore shrinkage rates. This investigation shows that the presence of pores changes the grain size distribution and the topological characteristics due to pinning of grains by pores. As pores shrink away, their pinning effect decreases. Once pore shrinkage is complete, normal grain growth is achieved.

scholarly journals Effect of Strain-Induced Precipitation on the Recrystallization Kinetics in a Model Alloy

2021 ◽  
Author(s):  
Mo Ji ◽  
Martin Strangwood ◽  
Claire Davis
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Avrami Exponent ◽  
Model Alloy ◽  
Size Distributions ◽  
Recrystallization Kinetics ◽  
Grain Size Distributions ◽  
Recrystallized Grain Size ◽  
Nb Addition

AbstractThe effects of Nb addition on the recrystallization kinetics and the recrystallized grain size distribution after cold deformation were investigated by using Fe-30Ni and Fe-30Ni-0.044 wt pct Nb steel with comparable starting grain size distributions. The samples were deformed to 0.3 strain at room temperature followed by annealing at 950 °C to 850 °C for various times; the microstructural evolution and the grain size distribution of non- and fully recrystallized samples were characterized, along with the strain-induced precipitates (SIPs) and their size and volume fraction evolution. It was found that Nb addition has little effect on recrystallized grain size distribution, whereas Nb precipitation kinetics (SIP size and number density) affects the recrystallization Avrami exponent depending on the annealing temperature. Faster precipitation coarsening rates at high temperature (950 °C to 900 °C) led to slower recrystallization kinetics but no change on Avrami exponent, despite precipitation occurring before recrystallization. Whereas a slower precipitation coarsening rate at 850 °C gave fine-sized strain-induced precipitates that were effective in reducing the recrystallization Avrami exponent after 50 pct of recrystallization. Both solute drag and precipitation pinning effects have been added onto the JMAK model to account the effect of Nb content on recrystallization Avrami exponent for samples with large grain size distributions.

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

Modelling of the Influence of the Grain Size Distribution on the Grain Growth in Nanocrystals

2005 ◽  
Vol 101-102 ◽  
pp. 315-318 ◽  
Author(s):  
Tomasz Wejrzanowski ◽  
Krzysztof Jan Kurzydlowski
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
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