scholarly journals Grain Size Distribution Obtained from Monte Carlo Simulation and the Analytical Mean Field Model

2003 ◽  
Vol 43 (5) ◽  
pp. 774-776 ◽  
Author(s):  
Chao Wang ◽  
Guoquan Liu
Keyword(s):  
Monte Carlo Simulation ◽  
Grain Size ◽  
Monte Carlo ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model

The Issue of Grain Size Distribution Using Mean Field Models for Dynamic and Post-Dynamic Recrystallization

2016 ◽  
Vol 879 ◽  
pp. 1794-1799 ◽  
Author(s):  
Guillaume Smagghe ◽  
David Piot ◽  
Frank Montheillet ◽  
G. Perrin ◽  
A. Montouchet ◽  
...  
Keyword(s):  
Grain Size ◽  
Dynamic Recrystallization ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Mean Field ◽  
304L Stainless Steel ◽  
Mean Field Model ◽  
Average Grain Size ◽  
Fundamental Equations ◽  
Good Agreement

A mean field model for discontinuous dynamic recrystallization (DDRX) has been developed and chained with a post-dynamic recrystallization (PDRX) model to predict transient and steady-state flow stresses and average grain sizes. Numerical results are compared with experimental data obtained on a 304L stainless steel yielding to a good agreement in terms of average grain size. However an unrealistic grain-size distribution is observed using DDRX, which affects results of the PDRX model. This result is discussed with respect to the fundamental equations of DDRX.

Demixing and ordering in Ni(Ti,Zr)(Sb,Sn) half-Heusler materials

2017 ◽  
Vol 19 (45) ◽  
pp. 30695-30702 ◽  
Author(s):  
Joaquin Miranda Mena ◽  
Thomas Gruhn
Keyword(s):  
Density Functional Theory ◽  
Monte Carlo ◽  
Phase Separation ◽  
Monte Carlo Simulations ◽  
Density Functional ◽  
Field Model ◽  
Mean Field ◽  
Study Phase ◽  
Mean Field Model ◽  
Functional Theory

We employed density functional theory, Monte Carlo simulations and a mean field model to study phase separation in thermoelectric Ni(Ti,Zr)(Sb,Sn) half-Heusler materials, simultaneously alloyed in the (Ti,Zr)- and (Sb,Sn) sublattices.

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.

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.

The Role of the Diffusion Mechanism in Models of the Evolution of Microstructure During Phase Separation

1998 ◽  
Vol 529 ◽  
Author(s):  
T.T. Rautialnen ◽  
A.P. Sutton
Keyword(s):  
Monte Carlo ◽  
Phase Separation ◽  
Field Model ◽  
Diffusion Mechanism ◽  
Monte Carlo Model ◽  
Mean Field ◽  
Energy Functional ◽  
Square Lattice ◽  
Mean Field Model ◽  
Evolution Of Microstructure

AbstractWe have studied phase separation and subsequent coarsening of the microstructure in a two-dimensional square lattice using a stochastic Monte Carlo model and a deterministic mean field model. The differences and similarities between these approaches are discussed. We have found that a realistic diffusion mechanism through a vacancy motion in Monte Carlo simulations is cruicial in producing different coarsening mechanisms over a range of temperatures. This cannot be captured by the mean field model, in which the transformation is governed by the minimization of a free energy functional.

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