Mesh sensitivity study in the random cellular automata finite element model of dynamic recrystallization

Mesh sensitivity study in the random cellular automata finite element model of dynamic recrystallization

SITKO Mateusz, PAWLIKOWSKI Kacper, PERZYNSKI Konrad, MADEJ Lukasz

download PDF

Abstract. Predicting microstructure morphology evolution under hot forming conditions and determining final material properties are essential for optimizing metal-forming processes. Cellular Automata (CA) is a widely employed full-field method for modeling microstructure morphology changes during various metal-forming processes. However, at higher temperatures and under conditions of substantial microstructure evolution, the CA method encounters limitations related to computational domain geometry changes. The use of random cellular automata (RCA) offers a more realistic representation of this phenomenon, although it requires additional effort in algorithm optimization for acceptable execution times.
This paper contributes to an overarching research effort focused on developing a discontinuous dynamic recrystallization model (DRX) by directly incorporating RCA into the finite element (FE) framework. Different mesh sizes and their impact on the quality of the results are analyzed, and the minimum number of elements that do not degrade the results in the CA model are selected. The investigation aims to enhance the practicality of the proposed model, striking a balance between realistic microstructure representation and computational efficiency.

Keywords
Random Cellular Automata, Microstructure Evolution, Discontinuous Dynamic Recrystallization

Published online 4/24/2024, 7 pages
Copyright © 2024 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: SITKO Mateusz, PAWLIKOWSKI Kacper, PERZYNSKI Konrad, MADEJ Lukasz, Mesh sensitivity study in the random cellular automata finite element model of dynamic recrystallization, Materials Research Proceedings, Vol. 41, pp 2271-2277, 2024

DOI: https://doi.org/10.21741/9781644903131-250

The article was published as article 250 of the book Material Forming

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] K. Huang, R.E. Logé, A review of dynamic recrystallization phenomena in metallic materials, Mater Des 111 (2016) 548–574. https://doi.org/10.1016/j.matdes.2016.09.012.
[2] M. Bernacki, R.E. Logé, T. Coupez, Level set framework for the finite-element modelling of recrystallization and grain growth in polycrystalline materials, Scr Mater 64 (2011) 525–528. https://doi.org/10.1016/j.scriptamat.2010.11.032
[3] T. Takaki, A. Yamanaka, Y. Tomita, Phase-field modeling for dynamic recrystallization, Advanced Structured Materials 64 (2015) 441–459. https://doi.org/10.1007/978-3-319-19440-0_20
[4] M. Bernacki, Kinetic equations and level-set approach for simulating solid-state microstructure evolutions at the mesoscopic scale: State of the art, limitations, and prospects, Prog Mater Sci 142 (2024) 101224. https://doi.org/10.1016/j.pmatsci.2023.101224
[5] Z.H.U. Huajia, C. Fei, Z. Haiming, C.U.I. Zhenshan, Review on modeling and simulation of microstructure evolution during dynamic recrystallization using cellular automaton method, Sci China Technol Sci m (2019) 1–40.
[6] R.L. Goetz, V. Seetharaman, Modeling dynamic recrystallization using cellular automata, 1997.
[7] N. Xiao, C. Zheng, D. Li, Y. Li, A simulation of dynamic recrystallization by coupling a cellular automaton method with a topology deformation technique, Comput Mater Sci 41 (2008) 366–374. https://doi.org/10.1016/j.commatsci.2007.04.021
[8] J. Gawąd, M. Pietrzyk, Application of cafe multiscale model to description of microstructure development during dynamic recrystallization, 2007.
[9] Ł. Madej, M. Sitko, K. Radwanski, kuziak, Roman, Validation and predictions of coupled finite element and cellular automata model: Influence of the degree of deformation on static recrystallization kinetics case study, Mater Chem Phys (2016). https://doi.org/10.1016/j.matchemphys.2016.05.040
[10] H. Hallberg, M. Wallin, M. Ristinmaa, Simulation of discontinuous dynamic recrystallization in pure Cu using a probabilistic cellular automaton, Comput Mater Sci 49 (2010) 25–34. https://doi.org/10.1016/j.commatsci.2010.04.012
[11] N. Yazdipour, C.H.J. Davies, P.D. Hodgson, Microstructural modeling of dynamic recrystallization using irregular cellular automata, Comput Mater Sci 44 (2008) 566–576. https://doi.org/10.1016/j.commatsci.2008.04.027
[12] L. Madej, M. Sitko, A. Legwand, K. Perzynski, K. Michalik, Development and evaluation of data transfer protocols in the fully coupled random cellular automata finite element model of dynamic recrystallization, J Comput Sci 26 (2018) 66–77. https://doi.org/10.1016/j.jocs.2018.03.007
[13] M. Sitko, M. Czarnecki, K. Pawlikowski, L. Madej, Evaluation of the effectiveness of neighbors’ selection algorithms in the random cellular automata model of unconstrained grain growth, Materials and Manufacturing Processes (2023) 1–11. https://doi.org/10.1080/10426914.2023.2196753
[14] K. Pawlikowski, M. Sitko, M. Czarnecki, Evaluation of data transfer methods efficiency in the random cellular automata model of dynamic recrystallisation, Materials Research Proceedings 28 (2023) 1559–1564. https://doi.org/10.21741/9781644902479-168
[15] M. Czarnecki, M. Sitko, Ł. Madej, The role of neighborhood density in the random cellular automata model of grain growth, Computer Methods in Material Science 21 (2021). https://doi.org/10.7494/cmms.2021.3.0760
[16] A. Stukowski, Visualization and analysis of atomistic simulation data with OVITO-the Open Visualization Tool, Model Simul Mat Sci Eng 18 (2010) 015012. https://doi.org/10.1088/0965-0393/18/1/015012