1-20 of 26 Search Results for

cellular automaton methods

Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
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...
Image
Published: 01 November 2010
Fig. 2 Grain structure in a directionally solidified superalloy turbine blade simulated with the cellular automaton method. The <100> pole figures are displayed for various cross sections perpendicular to the main blade axis. Source: Ref 26 More
Image
Published: 01 November 2010
Fig. 5 Longitudinal sections of directionally solidified specimens simulated with the cellular automaton method. The grain structure is shown as a function of (a) the solidification velocity ( G , ψ constant), (b) the temperature gradient ( v T , ψ constant), and (c) the seed orientation ( G More
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: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005432
EISBN: 978-1-62708-196-2
...-element models) is highlighted with respect to recrystallization simulations and, in particular, multiphenomena models. The evolution of the field from regular to irregular CA and future outlooks are also addressed. The Cellular Automaton Method Cellular automata operate at mesoscopic length scales...
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...
Image
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
Image
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 for nucleation More
Image
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: 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: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005522
EISBN: 978-1-62708-197-9
... methods for the creation of the cellular automaton grid based on a finite-element mesh ( Fig. 12c ), is already in qualitative agreement with observation. Fig. 12 (a) High-speed video images obtained in a parabolic flight during solidification at 70 K (126 °F) undercooling of an Fe-0.0046wt%C...
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: 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.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.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.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.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.a0005501
EISBN: 978-1-62708-197-9
...., a function of undercooling). The stochastic method is a probabilistic means to predict the nucleation and growth of the grain, including the stochastic distribution of nucleation locations, the stochastic selection of the grain orientation, and so on. The stochastic method includes cellular automata...
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: 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...