Investigation of Full-field and Mean-field Models for Pure Grain Growth Simulations
Mean-field approaches are commonly used in the simulation of grain growth in metals as they are easier to implement. However, mean-field models only track the evolution of average grain diameter as a function of temperature and time, while they neglect the effect of actual grain size distribution, which limits their applicability. Recently introduced full-field models of grain growth – either by level-set and phase field methods- allow to overcome the barriers of mean-field methods, but they are computationally much more demanding. In this article, the main goal is to investigate the applicability of both approaches for the pure grain growth in a solid with an initial Gaussian grain size distribution. The main idea is to keep the average grain size constant while altering the grain size distribution by modifying the standard deviation. DIGIMU software, which uses the level-set approach - is used for this purpose. The conclusion is that full-field models are beneficial to observe changes during grain growth; alternatively, mean-field models deduce approximately the same results as full-field models for a Gaussian distribution within a shorter time. However, it is found that mean-field models overlook certain important stages of the evolution of the microstructure, while full-field method captures all the details. Therefore, the model to investigate the grain growth mechanism should be selected accordingly.
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- Raabe, D. Recovery and Recrystallization: Phenomena, Physics, Models, Simulation, Editor(s): David E. Laughlin, Kazuhiro Hono, Physical Metallurgy (Fifth Edition), Elsevier, 2014, Pages 2291-2397, ISBN 9780444537706, https://doi.org/10.1016/B978-0-444-53770-6.00023-X.
- Atkinson, H. V. (1988). Overview no. 65: Theories of normal grain growth in pure single phase systems. Acta Metallurgica, 36(3), 469-491. 3. Strunk JrW, White EB. The Elements of Style, fourth ed. Longman, New York, 2000.
- Goussery, V., Bienvenu, Y., Forest, S., Gourgues, A., Colin, C., & Bartout, J. (2004). Grain size effects on the mechanical behavior of open-cell nickel foams. Advanced Engineering Materials, 6(6), 432-439. https://doi.org/10.1002/adem.200405153
- Kahn, M. (1971). Influence of grain growth on dielectric properties of NB-doped BaTiO3. Journal of the American Ceramic Society, 54(9), 455-457. https://doi.org/10.1111/j.1151-2916.1971.tb12384.x
- M.M. Syazwan, A.N. Hapishah, R.S. Azis, Z. Abbas, M.N. Hamidon, Grain growth effects on magnetic properties of Ni0.6Zn0.4Fe2O4 material prepared using mechanically alloyed nanoparticles, Results in Physics, Volume 9, 2018, Pages 842-850, ISSN 2211-3797, https://doi.org/10.1016/j.rinp.2018.03.054.
- Miyoshi, E., Takaki, T., Ohno, M., Shibuta, Y., Sakane, S., Shimokawabe, T., & Aoki, T. (2017). Ultra-large-scale phase-field simulation study of ideal grain growth. NPJ Computational Materials, 3(1), 1-6
- Kim, B. N., Hiraga, K., & Morita, K. (2003). Kinetics of normal grain growth depending on the size distribution of small grains. Materials transactions, 44(11), 2239-2244.
- Maire, L., Scholtes, B., Moussa, C. et al. Improvement of 3D mean field models for capillarity-driven grain growth based on full field simulations. J Mater Sci 51, 10970–10981 (2016). https://doi.org/10.1007/s10853-016-0309-6
- Scholtes, B., Settefrati, A., Bozzolo, N., Perchat, E., Chenot, J. L., & Bernacki, M. (2016, July). Large scale FE simulations of recrystallization and grain growth thanks to a level set approach, illustrations in context of industrial forming processes. NUMIFORM 2016: The 12th International Conference on Numerical Methods in Industrial Forming Processes, The Minerals, Metals & Materials Society, Troyes, France. ⟨hal-01421648⟩
- Scholtes, B., Shakoor, M., Settefrati, A., Bouchard, P., Bozzolo, N., & Bernacki, M. (2015). New finite element developments for the full field modeling of microstructural evolutions using the level-set method. Computational Materials Science, 109, 388-398. https://doi.org/10.1016/j.commatsci.2015.07.042
- Furstoss, J., Bernacki, M., Petit, C., Fausty, J., Pino-Mu~noz, D., & Ganino, C. (2020). Full field and mean field modeling of grain growth in a multiphase material under dry conditions: application to peridotites. Journal of Geophysical Research: Solid Earth, e53942.
- Mahadevan, S., Nalawade, S., Singh, J. B., Verma, A., Paul, B., & Ramaswamy, K. (2012). Evolution of δ Phase Microstructure in Alloy 718. Superalloy 718 and Derivatives, 737–750. https://doi.org/10.1002/9781118495223.ch57
- SAE International in United States, September 1965, [Aerospace Material Specification] AMS5663.
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 2014
- Yayıncı: HİTİT ÜNİVERSİTESİ