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cellular automaton model

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Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005432
EISBN: 978-1-62708-196-2
..., distributing nuclei of recrystallized grains, growing the recrystallized grains, and updating the dislocation density. The article concludes with information on the developments in CA simulations. cellular automaton model static recrystallization dynamic recrystallization microstructure dislocation...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003729
EISBN: 978-1-62708-177-1
... account of the general capabilities of the various models that can generate microstructure maps and thus transform the computer into a dynamic microscope. These include standard transport models, phase-field models, Monte Carlo models, and cellular automaton models. cellular automaton models...
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006314
EISBN: 978-1-62708-179-5
... include the dendrite growth models and the cooperative eutectic growth models. The article provides some solutions using numerical models to simulate the kinetics of microstructure formation in cast iron. It concludes with a discussion on cellular automaton (CA) technique that can handle complex topology...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005236
EISBN: 978-1-62708-187-0
... the principles and applications of the phase field method and the cellular automaton method for modeling the direct evolution of structure at the intermediate length scales, where transport phenomena govern the spatial and temporal evolution of the structure that involves nucleation and growth. casting...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005406
EISBN: 978-1-62708-196-2
...Abstract Abstract This article focuses on the intermediate length scales, where transport phenomena govern the spatial and temporal evolution of a structure. It presents the cellular automaton (CA) and phase field (PF) methods that represent the state of the art for modeling macrostructure...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005511
EISBN: 978-1-62708-197-9
... to predict the microstructural evolution in a Ni-Al-Cr γ+β/γ diffusion couple. Finally, in example 8, thermodynamic modeling is integrated with a microscopic and cellular automaton model to simulate the microstructure and microsegregation of aluminum alloys during solidification. Example 5: Prediction...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005522
EISBN: 978-1-62708-197-9
... stratifies in the liquid ahead of the growth front ( Ref 10 , 11 ). The indium concentration stratifications and the growth front predicted by the cellular automaton finite-element (CAFE) model are illustrated in Fig. 3(b) ( Ref 12 ). Solutal convection during directional solidification is shown in Fig...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004027
EISBN: 978-1-62708-185-6
... for these complex models, where errors are easily missed. Fig. 10 Microstructural evolution during recrystallization simulated using a hybrid Monte Carlo-Potts cellular automaton model; the white grains are recrystallized. Source: Ref 23 Unlike the other types of model, the phase-field method...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005501
EISBN: 978-1-62708-197-9
... size and secondary dendrite arm spacing, can be calculated based on the chemistry and cooling conditions. Some examples using such deterministic micromodeling are provided in a later section. Cellular Automaton Models Cellular automaton (CA) models are algorithms that describe the discrete...
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006327
EISBN: 978-1-62708-179-5
... 62 ). Fig. 23 Fraction of primary austenite vs. casting wall thickness. Source: Ref 62 Burbelko et al. ( Ref 63 ) also reported that a cellular automaton finite differences (CA-FD) model can be successfully used for studies of the primary austenite and of globular eutectic grains...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0009002
EISBN: 978-1-62708-185-6
... subsequently. Cellular Automata (CA) Cellular automata (also sometimes referred to as cellular automaton) is a numerical procedure used to model a number of metallurgical processes based on nucleation and growth or growth alone. These include static and dynamic recrystallization, precipitation...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005521
EISBN: 978-1-62708-197-9
.... It permits direct modeling of the grain structure. Direct Modeling of the Grain Structure Model Formulation Direct modeling of the grain structure presented in this section is based on coupling a cellular automaton (CA) method and a finite-element (FE) method. Other variants of a CA method have...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005459
EISBN: 978-1-62708-196-2
... JMAK (Avrami) models, topological models, and last, mesoscale physics-based models. Additional related information on the general formulation of models for microstructure evolution is contained in the articles “Models of Recrystallization,”  “Cellular Automaton Models of Recrystallization...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005425
EISBN: 978-1-62708-196-2
... of mechanism-based models, such as those designed to predict phase equilibria (e.g., Calphad), recrystallization and grain growth (Monte Carlo and cellular-automaton techniques), and precipitation and solidification problems (e.g., phase-field methods). The successful implementation of these newer techniques...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005518
EISBN: 978-1-62708-197-9
... method have been compared with electron backscatter diffraction measurements and showed good agreement ( Ref 49 , 50 ). Fig. 2 Grain structure in a directionally solidified superalloy turbine blade simulated with the cellular automaton method. The <100> pole figures are displayed...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005520
EISBN: 978-1-62708-197-9
... Huang et al. ( Ref 75 ) also allowed a random distribution of the location of nuclei for both pores and grains. They modeled the nucleation and growth of both grains and pores during the solidification of A356 alloys using a two-dimensional cellular automata (CA) model. Their mechanism for grain...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0003971
EISBN: 978-1-62708-185-6
... recrystallization or nonparabolic grain growth (e.g., Fig. 5 ). Two principal types of mechanism-based approaches are those based on cellular automaton (primarily used for recrystallization problems) and the Monte-Carlo/Potts formalism (used for both recrystallization and grain-growth problems). Both...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005428
EISBN: 978-1-62708-196-2
...Abstract Abstract The misorientation of a boundary of a growing grain is defined not only by its crystallography but also by the crystallography of the grain into which it is growing. This article focuses on the Monte Carlo Potts model that is typically used to model grain growth, Zener-Smith...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005401
EISBN: 978-1-62708-196-2
... 33 ). A second approach, which is just emerging, comprises the application of modeling techniques such as the Monte Carlo (MC) and cellular automata (CA) techniques ( Ref 34 , Ref 35 , Ref 36 ). The CA method ( Ref 35 , 36 ) has been applied to treat dynamic recrystallization. The specific method...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005510
EISBN: 978-1-62708-197-9
..., and MeltFlow-ESR ( Ref 51 , 64 , 67 ) for the analysis of the ESR process for superalloys and steels. The results from some of these models have also been used in conjunction with solidification models (largely based on the cellular automata techniques) to predict the growth of the columnar dendritic zone...