Grain Size Distribution and Topological Correlations during Ostwald Ripening : Monte Carlo Potts Model Simulation = توزيع حجم الحبيبات و العلاقات المتبادلة الطوبوغرافية أثناء نضوج أوستوالد : محاكاة نموذج مونت كارلو بوتس

2016 ◽  
Vol 20 ◽  
pp. 44-60
Author(s):  
Rifa J. El-Khozondar ◽  
Hala J. El-Khozondar
Keyword(s):  
Grain Size ◽  
Monte Carlo ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Potts Model ◽  
Ostwald Ripening ◽  
Model Simulation ◽  
Topological Correlations

Monte Carlo modelling of recrystallization in metals

2004 ◽  
Vol 120 ◽  
pp. 217-223
Author(s):  
J. Tarasiuk ◽  
Ph. Gerber ◽  
B. Bacroix
Keyword(s):  
Grain Size ◽  
Monte Carlo ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Recrystallization Texture ◽  
Static Recrystallization ◽  
Stored Energy ◽  
Initial Microstructure ◽  
Euler Space

A Monte Carlo (MC) procedure was applied to study static recrystallization processes. The initial microstructure, stored energy and orientation within each grain were taken from EBSD measurements. Site orientations used in the model may change continuously in Euler space. Several types of site saturated nucleation were implemented in the model. A standard MC algorithm was used and tested in several ways. The grain size distribution and final recrystallization texture obtained from the model were compared with experimental ones. The agreement between both sets of data is satisfactory. As some minor experimental effects are not observed in the model, some improvements are finally proposed.

Monte Carlo Potts Model Simulation and Statistical Theory of 3D Grain Growth

2007 ◽  
Vol 558-559 ◽  
pp. 1219-1224 ◽  
Author(s):  
Dana Zöllner ◽  
Peter Streitenberger
Keyword(s):  
Grain Size ◽  
Monte Carlo ◽  
Grain Growth ◽  
Potts Model ◽  
Model Simulation ◽  
Mean Field Theory ◽  
Mean Field ◽  
Three Dimensional ◽  
Rate Of Change ◽  
Volumetric Rate

An improved Monte Carlo (MC) Potts model algorithm has been implemented allowing an extensive simulation of three-dimensional (3D) normal grain growth. It is shown that the simulated microstructure reaches a quasi-stationary state, where the growth of grains can be described by an average self-similar volumetric rate of change, which depends only on the relative grain size. Based on a quadratic approximation of the volumetric rate of change a generalized analytic mean-field theory yields a scaled grain size distribution function that is in excellent agreement with the simulation results.

Microstructure Instability during Particle and Solute Inhibited Grain Growth

2012 ◽  
Vol 715-716 ◽  
pp. 528-528
Author(s):  
Massimiliano Buccioni ◽  
Giuseppe Carlo Abbruzzese
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Grain Growth ◽  
Grain Size Distribution ◽  
Ostwald Ripening ◽  
Secondary Recrystallization ◽  
Solute Drag ◽  
Abnormal Grain Growth ◽  
Second Phase ◽  
Zener Drag

Grain growth processes in real polycrystalline materials are mostly characterized by the presence of restraining forces, originating, among others, from second phase particles dispersion (Zener drag) or solute atoms segregating at the grain boundaries (solute drag). Both the restraining mechanisms were introduced in the framework of the statistical theory of grain growth, showing their peculiar effects on kinetics and on grain size distribution evolution [1,2,. The present work moves from the previous results and gives a further clarification of pseudo-steady state kinetics occurring under particular solute drag inhibition intensity and will discuss it in comparison with grain growth stagnation conditions produced by Zener drag. In case of second phase particle inhibiting grain growth, the normal case in real systems is the time and temperature dependence of the inhibition intensity due to the evolution of precipitates (e.g. Ostwald ripening. Such evolutions of inhibition, which typically drops with increasing temperature, can cause microstructure instabilities like abnormal grain growth or secondary recrystallization. It is thus introduced in the model a time-temperature depending inhibition drop, which influences both kinetics and grain size distribution evolution. Conditions for the onset of particular effects like abnormal grain growth are assessed and discussed.

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.

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