2008
DOI: 10.1016/j.jmatprotec.2007.12.130
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Cellular automaton simulation of grain growth with different orientation angles during solidification process

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Cited by 70 publications
(43 citation statements)
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“…[33,[52][53][54][55][56][57][58] Use of a CA for solidification has the advantage of computational efficiency over alternative approaches, such as the phase field method, but discretization error and grid effects are significant drawbacks. Corrections to minimize the grid effects that tend to occur in such models have been proposed [59][60][61] and utilized by many solidification models. Combinations of the phase field and cellular automata methods can be used to model multiscale solidification as well; for example, Tan and Shin [62] considers solidification of both grains (using a CA) and dendritic colonies (using phase field) in 2D at the appropriate length and time scales.…”
Section: The Laser Engineered Net Shaping (Lens™)mentioning
confidence: 99%
See 1 more Smart Citation
“…[33,[52][53][54][55][56][57][58] Use of a CA for solidification has the advantage of computational efficiency over alternative approaches, such as the phase field method, but discretization error and grid effects are significant drawbacks. Corrections to minimize the grid effects that tend to occur in such models have been proposed [59][60][61] and utilized by many solidification models. Combinations of the phase field and cellular automata methods can be used to model multiscale solidification as well; for example, Tan and Shin [62] considers solidification of both grains (using a CA) and dendritic colonies (using phase field) in 2D at the appropriate length and time scales.…”
Section: The Laser Engineered Net Shaping (Lens™)mentioning
confidence: 99%
“…To reduce the deleterious effects of grid anisotropy on the growing colonies, the approach taken by Zhan et al [61] is used in which solidification of "clusters" of cells are evolved in tandem, effectively expanding the local neighborhood of the solidification from the typical Moore or Von Neumann neighborhoods and allowing the colonies that are misaligned with the grid to maintain their preferred orientations.…”
Section: Cellular Automata (Ca) For Solidificationmentioning
confidence: 99%
“…If fs≥1, the cell state is changed from growing to solid and states of neighbor cells are changed from liquid to growing according to the limited angles method [21] to keep the growth angle. The limited angles method are presented in Figure 3.…”
Section: Solid Fractionmentioning
confidence: 99%
“…Wei et al [20] first attempt CA model on 2D simulation of welding solidification. Contributed to by many works [21][22][23][24], CA method has become a powerful tool in simulating microstructure evolution of welding solidification process.…”
Section: Introductionmentioning
confidence: 99%
“…One could also find very few attempts involving stochastic methods such as Monte Carlo approach but on relatively small-scale simulation [18,19]. Cellular Automaton are frequently applied in the field of solidification and grain growth for superalloys [20]. The authors did not find any application to precipitation including misfit strain in large scale mesoscopic simulations.…”
Section: Simulation Setupmentioning
confidence: 99%