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cellular automaton models

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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...
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Published: 01 November 2010
Fig. 10 Cellular automaton model produces realistic dendrite growth. (a) Predicted dendritic structure density. (b) Solutal adjusted undercooling distribution under thermal conditions of 45° inclined isotherms with respect to the growth direction moving at a constant velocity of 150 μm/s More
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
... 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 computer modeling...
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Published: 01 November 2010
). (b) Map of indium concentration (wt%) predicted by the cellular automaton finite-element model (thick black line: growth front deduced from the cellular automaton model) ( Ref 12 ) More
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Published: 01 January 2005
Fig. 10 Microstructural evolution during recrystallization simulated using a hybrid Monte Carlo-Potts cellular automaton model; the white grains are recrystallized. Source: Ref 23 More
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...
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Published: 01 December 2008
Fig. 9 Predictions from the cellular automaton finite element model. (a) Final grain structure. (b) Segregation map of tin with its composition scale. (c) Composition profiles for a Pb-48wt%Sn alloy. Equiaxed grains nucleated in the undercooled melt are free to move due to sedimentation More
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Published: 01 December 2009
Fig. 4 The cellular automaton finite-element (CAFÉ) model of hot rolling of steel. (a) Slab exiting the rolling gap after it has been rolled at 30% reduction in thickness. (b) Initial cellular automaton microstructure with equiaxed grains. (c) Microstructure near the slab surface within box “O More
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Published: 01 December 2009
Fig. 5 Recrystallization modeling. (a) Original undeformed cellular automaton (CA) grain structure in gray and the recrystallized grains in black. (b) Ratio of the recrystallization nuclei cells to the total number of cells within a CA attached to one Gauss point. Source: Ref 20 More
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Published: 01 December 2009
Fig. 9 Predictions from the cellular automaton finite element model. (a) Final grain structure. (b) Segregation map of tin with its composition scale. (c) Composition profiles for a Pb-48wt%Sn alloy. Equiaxed grains nucleated in the undercooled melt are free to move due to sedimentation More
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
... 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 cellular automaton...
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 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...
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Published: 01 December 2008
Fig. 2 Schematic of a single grain ( Ref 8 ) growing in a uniform temperature field is shown in (a). The square highlighted in (a) shows a typical length scale for representative elementary volumes (REV) used by the cellular automaton (CA) method. The two small squares in (b) show the typical More
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Published: 01 December 2009
Fig. 2 Schematic of a single grain ( Ref 8 ) growing in a uniform temperature field is shown in (a). The square highlighted in (a) shows a typical length scale for representative elementary volumes (REV) used by the cellular automaton (CA) method. The two small squares in (b) show the typical More
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Published: 01 November 2010
Fig. 13 (a) Image of a cellular automaton simulation of solidification in a Zn-0.2wt%Al galvanized coating. The 5 by 3 mm domain is cooled at –12 K/s with a positive temperature gradient from left to right. (b) Experimental and calculated number densities of grains as a function of the cooling More
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Published: 01 November 2010
Fig. 7 Direct modeling of solidification of a single equiaxed grain using the cellular automaton (CA) method coupled with the finite-element (FE) method is a refinement of the indirect modeling approach ( Fig. 5 ). Integration over time on the geometrical CA grid of kinetics laws More
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Published: 01 November 2010
. Herlach et al., German Space Agency (DLR)-Köln. Corresponding numerical simulation using a three-dimensional cellular automaton finite-element model shows (b) the envelope of the growing grain and (c) the active (darker or red) chevron-shaped region through the midsection of the sphere and deactivated More
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Published: 01 November 2010
Fig. 6 Schematic two-dimensional geometric description of a dendritic grain using direct modeling the grain structure by means of the cellular automaton (CA) method coupled with the finite-element (FE) method ( Fig. 1b ). A representation is given of (a) a unit triangular mesh used by the FE More
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: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005511
EISBN: 978-1-62708-197-9
... 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 of Liquation Cracking of Aluminum Welds In this example...