On the analytical solution for self-similar grain size distributions in two dimensions

2011 ◽  
Vol 59 (3) ◽  
pp. 955-961 ◽  
Author(s):  
C.S. Pande ◽  
K.P. Cooper
2012 ◽  
Vol 66 (8) ◽  
pp. 554-557 ◽  
Author(s):  
Joseph C. Tucker ◽  
Lisa H. Chan ◽  
Gregory S. Rohrer ◽  
Michael A. Groeber ◽  
Anthony D. Rollett

2012 ◽  
Vol 715-716 ◽  
pp. 806-811 ◽  
Author(s):  
Peter Streitenberger ◽  
Dana Zöllner

Size effects observed in nanocrystalline grain growth are modeled by attributing each type of grain boundary junction an own specific energy and finite mobility. By considering grain growth as a dissipative process that is driven by the reduction of the Gibbs free interface and junction energy a general grain evolution equation is derived that separates into nine types of possible growth kinetics. The corresponding self-similar grain size distributions are derived and compared with results from modified Monte Carlo Potts model simulations taking into account size effects in triple and quadruple junction limited grain growth.


Author(s):  
Mo Ji ◽  
Martin Strangwood ◽  
Claire Davis

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.


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