Computer Modeling of Grain Structure Formation during Quenching including Algorithms with Pre- and Post-Solidification

Simulation of the grain growth process, as a function of steel heat transfer conditions, is helpful for predicting grain structures of continuous cast steel products. Many authors have developed models based on numerical methods to simulate grain growth during metal solidification. Nevertheless, the...

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Main Authors: Adán Ramírez-López, Omar Dávila-Maldonado, Alfonso Nájera-Bastida, Rodolfo Dávila Morales, Carlos Rodrigo Muñiz-Valdés, Jafeth Rodríguez-Ávila
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Metals
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Online Access:https://www.mdpi.com/2075-4701/12/4/623
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author Adán Ramírez-López
Omar Dávila-Maldonado
Alfonso Nájera-Bastida
Rodolfo Dávila Morales
Carlos Rodrigo Muñiz-Valdés
Jafeth Rodríguez-Ávila
author_facet Adán Ramírez-López
Omar Dávila-Maldonado
Alfonso Nájera-Bastida
Rodolfo Dávila Morales
Carlos Rodrigo Muñiz-Valdés
Jafeth Rodríguez-Ávila
author_sort Adán Ramírez-López
collection DOAJ
description Simulation of the grain growth process, as a function of steel heat transfer conditions, is helpful for predicting grain structures of continuous cast steel products. Many authors have developed models based on numerical methods to simulate grain growth during metal solidification. Nevertheless, the anisotropic nature of grain structures makes necessary the employment of new mathematical methods such as chaos theory, fractals, and probabilistic and stochastic theories of simulation. The problem is significant for steelmakers to avoid defects in products and to control the steel microstructure during the continuous casting process. This work discusses the influence of nodal solidification times and computer algorithms on the dynamic formation of the chill, columnar, and equiaxed zones including physical phenomena such as nucleation and grain growth. Moreover, the model incorporates pre-nucleation and pre-growth routines in the original algorithm. There is a description of the influence of the mathematical parameter criteria and probabilities over the grain morphology obtained after solidification. Finally, an analysis of these algorithms elucidates the differences between these structures and those obtained from models considering only the solidification.
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spelling doaj.art-0674f8601bc54a91b0ce7a893b21c1902023-12-03T13:42:32ZengMDPI AGMetals2075-47012022-04-0112462310.3390/met12040623Computer Modeling of Grain Structure Formation during Quenching including Algorithms with Pre- and Post-SolidificationAdán Ramírez-López0Omar Dávila-Maldonado1Alfonso Nájera-Bastida2Rodolfo Dávila Morales3Carlos Rodrigo Muñiz-Valdés4Jafeth Rodríguez-Ávila5Department of Industrial Engineering, Technological and Autonomous Institute of Mexico (ITAM), Rio Hondo #1 Col. Progreso Tizapan, Mexico City 01080, MexicoDepartment of Metallurgy and Materials Engineering, Instituto Politécnico Nacional-ESIQIE, Ed. 7 UPALM, Col. Zacatenco, Mexico City 07738, MexicoMetallurgy Engineering, Instituto Politécnico Nacional-UPIIZ, Blvd. del Bote 202, Cerro del Gato, Zacatecas 98160, MexicoDepartment of Metallurgy and Materials Engineering, Instituto Politécnico Nacional-ESIQIE, Ed. 7 UPALM, Col. Zacatenco, Mexico City 07738, MexicoFacultad de Ingeniería, Universidad Autónoma de Coahuila, Blvd. Fundadores Km 13, Ciudad Universitaria, Arteaga 25350, MexicoFacultad de Ingeniería, Universidad Autónoma de Coahuila, Blvd. Fundadores Km 13, Ciudad Universitaria, Arteaga 25350, MexicoSimulation of the grain growth process, as a function of steel heat transfer conditions, is helpful for predicting grain structures of continuous cast steel products. Many authors have developed models based on numerical methods to simulate grain growth during metal solidification. Nevertheless, the anisotropic nature of grain structures makes necessary the employment of new mathematical methods such as chaos theory, fractals, and probabilistic and stochastic theories of simulation. The problem is significant for steelmakers to avoid defects in products and to control the steel microstructure during the continuous casting process. This work discusses the influence of nodal solidification times and computer algorithms on the dynamic formation of the chill, columnar, and equiaxed zones including physical phenomena such as nucleation and grain growth. Moreover, the model incorporates pre-nucleation and pre-growth routines in the original algorithm. There is a description of the influence of the mathematical parameter criteria and probabilities over the grain morphology obtained after solidification. Finally, an analysis of these algorithms elucidates the differences between these structures and those obtained from models considering only the solidification.https://www.mdpi.com/2075-4701/12/4/623steel solidificationnucleation and grain growthcomputer simulationprobabilities and criteria
spellingShingle Adán Ramírez-López
Omar Dávila-Maldonado
Alfonso Nájera-Bastida
Rodolfo Dávila Morales
Carlos Rodrigo Muñiz-Valdés
Jafeth Rodríguez-Ávila
Computer Modeling of Grain Structure Formation during Quenching including Algorithms with Pre- and Post-Solidification
Metals
steel solidification
nucleation and grain growth
computer simulation
probabilities and criteria
title Computer Modeling of Grain Structure Formation during Quenching including Algorithms with Pre- and Post-Solidification
title_full Computer Modeling of Grain Structure Formation during Quenching including Algorithms with Pre- and Post-Solidification
title_fullStr Computer Modeling of Grain Structure Formation during Quenching including Algorithms with Pre- and Post-Solidification
title_full_unstemmed Computer Modeling of Grain Structure Formation during Quenching including Algorithms with Pre- and Post-Solidification
title_short Computer Modeling of Grain Structure Formation during Quenching including Algorithms with Pre- and Post-Solidification
title_sort computer modeling of grain structure formation during quenching including algorithms with pre and post solidification
topic steel solidification
nucleation and grain growth
computer simulation
probabilities and criteria
url https://www.mdpi.com/2075-4701/12/4/623
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