Improvement of 3D mean field models for capillarity-driven grain growth based on full field simulations
Source abstract
Abstract
In the present study, mean field models of grain growth (Hillert and Burke–Turnbull models) are compared with 3D full field simulations considering an isotropic grain boundary energy and mobility and under the absence of second-phase particles. The present 3D full field simulations are based on a level set description of the grain interfaces within a finite element framework. The digital initial microstructures are generated using a coupled “Voronoi–Laguerre/dense sphere packing” algorithm. Based on full field simulation results, new formulations of Burke–Turnbull and Hillert models are proposed. In contrast with classical formulations, the new ones account for the possible heterogeneity of the initial grain size distribution.
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Research context
OpenAlex topics: Solidification and crystal growth phenomena · Metallurgical Processes and Thermodynamics · Microstructure and mechanical properties
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References (27)
Show source-provided references
1. Fatima Vaz M, Fortes M (1988) Grain size distribution: the lognormal and the gamma distribution functions. Scripta Metall 22(1):35–40. doi: 10.1016/S0036-9748(88)80302-810.1016/S0036-9748(88)80302-8 ↗
2. Raeisinia B, Sinclair CW (2009) A representative grain size for the mechanical response of polycrystals. Mater Sci Eng A 525(1–2):78–82. doi: 10.1016/j.msea.2009.06.04510.1016/j.msea.2009.06.045 ↗
3. Luther T, Könke C (2009) Polycrystal models for the analysis of intergranular crack growth in metallic materials. Eng Fract Mech 76(15):2332–2343. doi: 10.1016/j.engfracmech.2009.07.00610.1016/j.engfracmech.2009.07.006 ↗
4. Cruz-Fabiano A, Logé R, Bernacki M (2014) Assessment of simplified 2D grain growth models from numerical experiments based on a level set framework. Comput Mater Sci 92:305–312. doi: 10.1016/j.commatsci.2014.05.06010.1016/j.commatsci.2014.05.060 ↗
5. Hallberg H (2011) Approaches to modeling of recrystallization. Metals 1(1):16–48. doi: 10.3390/met101001610.3390/met1010016 ↗
6. Rollett AD, Srolovitz DJ, Anderson MP (1989) Simulation and theory of abnormal grain growth-anisotropic grain boundary energies and mobilities. Acta Metall 37(4):1227–1240. doi: 10.1016/0001-6160(89)90117-X10.1016/0001-6160(89)90117-X ↗
7. Rollett AD, Raabe D (2001) A hybrid model for mesoscopic simulation of recrystallization. Comput Mater Sci 21(1):69–78. doi: 10.1016/S0927-0256(00)00216-010.1016/S0927-0256(00)00216-0 ↗
8. Holm EA, Hassold GN, Miodownik MA (2001) On misorientation distribution evolution during anisotropic grain growth. Acta Mater 49(15):2981–2991. doi: 10.1016/S1359-6454(01)00207-510.1016/S1359-6454(01)00207-5 ↗
9. Raabe D (1999) Introduction of a scalable three-dimensional cellular automaton with a probabilistic switching rule for the discrete mesoscale simulation of recrystallization phenomena. Philos Magn A 79(10):2339–2358. doi: 10.1080/0141861990821428810.1080/01418619908214288 ↗
10. Krill CE, Chen LQ (2002) Computer simulation of 3-D grain growth using a phase-field model. Acta Mater 50(12):3059–3075. doi: 10.1016/S1359-6454(02)00084-810.1016/S1359-6454(02)00084-8 ↗
11. Bernacki M, Chastel Y, Coupez T, Logé R (2008) Level set framework for the numerical modelling of primary recrystallization in polycrystalline materials. Scr Mater 58(12):1129–1132. doi: 10.1016/j.scriptamat.2008.02.01610.1016/j.scriptamat.2008.02.016 ↗
12. Bernacki M, Logé R, Coupez T (2011) Level set framework for the finite-element modelling of recrystallization and grain growth in polycrystalline materials. Scr Mater 64(6):525–528. doi: 10.1016/j.scriptamat.2010.11.03210.1016/j.scriptamat.2010.11.032 ↗
13. Scholtes B, Shakoor M, Settefrati A, Bouchard PO, Bozzolo N, Bernacki M (2015) New finite element developments for the full field modeling of microstructural evolutions using the level-set method. Comput Mater Sci 109:388–398. doi: 10.1016/j.commatsci.2015.07.04210.1016/j.commatsci.2015.07.042 ↗
14. Hallberg H (2013) A modified level set approach to 2D modeling of dynamic recrystallization. Model Simul Mater Sci Eng 21(8):085012. doi: 10.1088/0965-0393/21/8/08501210.1088/0965-0393/21/8/085012 ↗
15. Hillert M (1965) On the theory of normal and abnormal grain growth. Acta Metall Mater 13:227. doi: 10.1017/CBO9781107415324.00410.1017/CBO9781107415324.004 ↗
16. Burke J, Turnbull D (1952) Recrystallization and grain growth. Prog Met Phys 3:220–292. doi: 10.1016/0502-8205(52)90009-910.1016/0502-8205(52)90009-9 ↗
17. Hitti K, Laure P, Coupez T, Silva L, Bernacki M (2012) Precise generation of complex statistical Representative Volume Elements (RVEs) in a finite element context. Comput Mater Sci 61:224–238. doi: 10.1016/j.commatsci.2012.04.01110.1016/j.commatsci.2012.04.011 ↗
18. Hitti K, Bernacki M (2013) Optimized Dropping and Rolling (ODR) method for packing of poly-disperse spheres. Appl Math Model 37(8):5715–5722. doi: 10.1016/j.apm.2012.11.01810.1016/j.apm.2012.11.018 ↗
19. El Wahabi M, Cabrera J, Prado J (2003) Hot working of two AISI 304 steels: a comparative study. Mater Sci Eng A 343(1–2):116–125. doi: 10.1016/S0921-5093(02)00357-X
20. Scholtes B, Boulais-sinou R, Settefrati A, Pino Muñoz D, Poitrault I, Montouchet A, Bozzolo N, Bernacki M (2016) 3D level set modeling of static recrystallization considering stored energy fields. Comput Mater Sci 122:57–71. doi: 10.1016/j.commatsci.2016.04.04510.1016/j.commatsci.2016.04.045 ↗
21. Darvishi Kamachali R, Steinbach I (2012) 3-D phase-field simulation of grain growth: topological analysis versus mean-field approximations. Acta Mater 60(6–7):2719–2728. doi: 10.1016/j.actamat.2012.01.03710.1016/j.actamat.2012.01.037 ↗
22. Darvishi Kamachali R, Abbondandolo A, Siburg KF, Steinbach I (2015) Geometrical grounds of mean field solutions for normal grain growth. Acta Mater 90:252–258. doi: 10.1016/j.actamat.2015.02.02510.1016/j.actamat.2015.02.025 ↗
23. Suwa Y, Saito Y, Onodera H (2008) Parallel computer simulation of three-dimensional grain growth using the multi-phase-field model. Mater Trans 49(4):704–709. doi: 10.2320/matertrans.MRA200722510.2320/matertrans.MRA2007225 ↗
24. Rios PR, Dalpian TG, Brandao VS, Castro JA, Oliveira ACL (2006) Comparison of analytical grain size distributions with three-dimensional computer simulations and experimental data. Scr Mater 54(9):1633–1637. doi: 10.1016/j.scriptamat.2006.01.00710.1016/j.scriptamat.2006.01.007 ↗
25. Chao W, Guoquan LIU (2004) Reanalysis of the 3D quasi-stationary grain size distribution based on Hillert grain growth rate equation. Ser E Technol Sci 47(1):112–120
26. Petch N (1953) The cleavage strength of polycrystals. J Iron Steel Inst 174:25
27. MacPherson RD, Srolovitz DJ (2007) The von Neumann relation generalized to coarsening of three-dimensional microstructures. Nature 446(7139):1053–1055. doi: 10.1038/nature0574510.1038/nature05745 ↗