Thermodynamic and Kinetic Coupling of a Random Grid Cellular Automaton for the Simulation of Grain Growth

2002 ◽  
Vol 4 (4) ◽  
pp. 200-202 ◽  
Author(s):  
K.G.F. Janssens ◽  
J.N. Reissner ◽  
F. Vanini
Keyword(s):  
Cellular Automaton ◽  
Grain Growth ◽  
Kinetic Coupling ◽  
Random Grid

A parallelized three-dimensional cellular automaton model for grain growth during additive manufacturing

2018 ◽  
Vol 61 (5) ◽  
pp. 543-558 ◽  
Author(s):  
Yanping Lian ◽  
Stephen Lin ◽  
Wentao Yan ◽  
Wing Kam Liu ◽  
Gregory J. Wagner
Keyword(s):  
Additive Manufacturing ◽  
Cellular Automaton ◽  
Grain Growth ◽  
Three Dimensional ◽  
Cellular Automaton Model

Modeling austenite–ferrite transformation in low carbon steel using the cellular automaton method

2004 ◽  
Vol 19 (10) ◽  
pp. 2877-2886 ◽  
Author(s):  
Y.J. Lan ◽  
D.Z. Li ◽  
Y.Y. Li
Keyword(s):  
Carbon Steel ◽  
Cellular Automaton ◽  
Grain Boundaries ◽  
Grain Growth ◽  
Low Carbon Steel ◽  
Carbon Diffusion ◽  
Cellular Automaton Model ◽  
Low Carbon ◽  
Austenite Grain ◽  
Ferrite Transformation

Austenite–ferrite transformation at different isothermal temperatures in low carbon steel was investigated by a two-dimensional cellular automaton approach, which provides a simple solution for the difficult moving boundary problem that governs the ferrite grain growth. In this paper, a classical model for ferrite nucleation at austenite grain boundaries is adopted, and the kinetics of ferrite grain growth is numerically resolved by coupling carbon diffusion process in austenite and austenite–ferrite (γ–α) interface dynamics. The simulated morphology of ferrite grains shows that the γ–α interface is stable. In this cellular automaton model, the γ–α interface mobility and carbon diffusion rate at austenite grain boundaries are assumed to be higher than those in austenite grain interiors. This has influence on the morphology of ferrite grains. Finally, the modeled ferrite transformation kinetics at different isothermal temperatures is compared with the experiments in the literature and the grid size effects of simulated results are investigated by changing the cell length of cellular automaton model in a set of calculations.

Simulation of Isothermal Austenitization in Banded Pearlite Steels by Cellular Automaton

2015 ◽  
Vol 812 ◽  
pp. 465-470
Author(s):  
Gábor Karacs ◽  
András Roósz
Keyword(s):  
Free Energy ◽  
Finite Difference ◽  
Cellular Automata ◽  
Finite Difference Method ◽  
Diffusion Equation ◽  
Cellular Automaton ◽  
Grain Growth ◽  
Difference Method ◽  
Transformation Process ◽  
The Real

The austenitization of steels can occur in a wide variety of initial microstructures. In this study we addressed the transformation of banded pearlite steels. Banded pearlite initial structures similar to the real ones were created. In these structures the entire transformation process was simulated whose part processes are nucleation and grain growth. The nucleation is described by a free energy based model, and the Fick II. diffusion equation by using Finite Difference Method describes the grain growth. These models have been coupled in cellular automata simulations.

scholarly journals Study of Grain Growth in a Ni-Based Superalloy by Experiments and Cellular Automaton Model

Materials ◽  
2021 ◽  
Vol 14 (22) ◽  
pp. 6922
Author(s):  
Yan-Xing Liu ◽  
Zhi-Jiang Ke ◽  
Run-Hua Li ◽  
Ju-Qing Song ◽  
Jing-Jing Ruan
Keyword(s):  
Heat Treatment ◽  
Grain Boundary ◽  
Cellular Automaton ◽  
Grain Growth ◽  
Holding Time ◽  
Growth Exponent ◽  
Isothermal Heat Treatment ◽  
Boundary Mobility ◽  
Grain Boundary Mobility ◽  
Holding Temperature

The grain growth behavior in a typical Ni-based superalloy was investigated using isothermal heat treatment experiments over a holding temperature range of 1353–1473 K. The experimental results showed that the grain structure continuously coarsened as the holding time and holding temperature increased during heat treatment. A classical parabolic grain growth model was used to explore the mechanism of grain growth under experimental conditions. The grain growth exponent was found to be slightly above 2. This indicates that the current grain growth in the studied superalloy is mainly governed by grain boundary migration with a minor pinning effect from the precipitates. Then, the grain growth in the studied superalloy during isothermal heat treatment was modelled by a cellular automaton (CA) with deterministic state switch rules. The microscale kinetics of grain growth is described by the correlation between the moving velocity and curvature of the grain boundary. The local grain boundary curvature is well evaluated by a template disk method. The grain boundary mobility was found to increase with increasing temperature. The relationship between the grain boundary mobility and temperature has been established. The developed CA model is capable of capturing the dependence of the grain size on the holding time under different holding temperatures.

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