[1]
W. A. Johnson and R. F. Mehl, "Reaction Kinetics in Processes of Nucleation and Growth," Trans. Am.Inst MinMetallPetrolEng, vol. 195, p.416–442, 1939.
Google Scholar
[2]
M. Avrami, "Kinetics of Phase Change. I General Theory," J. Chem. Phys., vol. 7, no. 12, p.1103–1112, Dec. 1939.
Google Scholar
[3]
A. N. Kolmogorov, "On the Statistical Theory of the Crystallization of Metals," Bull. Acad. Sci. USSR, vol. 1, p.355–359, 1937.
Google Scholar
[4]
L. Maire et al., "Modeling of dynamic and post-dynamic recrystallization by coupling a full field approach to phenomenological laws," Mater. Des., vol. 133, p.498–519, Nov. 2017.
DOI: 10.1016/j.matdes.2017.08.015
Google Scholar
[5]
F. Montheillet, O. Lurdos, and G. Damamme, "A grain scale approach for modeling steady-state discontinuous dynamic recrystallization," Acta Mater., vol. 57, no. 5, p.1602–1612, Mar. 2009.
DOI: 10.1016/j.actamat.2008.11.044
Google Scholar
[6]
D. G. Cram, H. S. Zurob, Y. J. M. Brechet, and C. R. Hutchinson, "Modelling discontinuous dynamic recrystallization using a physically based model for nucleation," Acta Mater., vol. 57, no. 17, p.5218–5228, Oct. 2009.
DOI: 10.1016/j.actamat.2009.07.024
Google Scholar
[7]
A. D. Rollett, D. J. Srolovitz, R. D. Doherty, and M. P. Anderson, "Computer simulation of recrystallization in non-uniformly deformed metals," Acta Metall., vol. 37, no. 2, p.627–639, Feb. 1989.
DOI: 10.1016/0001-6160(89)90247-2
Google Scholar
[8]
R. Golab, M. Sitko, J. Szyndler, and Ł. Madej, "Cellular automata finite element approach for modelling microstructure evolution under thermo-mechanical processing conditions," Lect. Notes Comput. Sci. (including Subser. Lect. Notes Artif. Intell. Lect. Notes Bioinformatics), vol. 8751, p.197–207, 2014.
DOI: 10.1007/978-3-319-11520-7_21
Google Scholar
[9]
K. G. F. Janssens, "An introductory review of cellular automata modeling of moving grain boundaries in polycrystalline materials," Math. Comput. Simul., vol. 80, no. 7, p.1361–1381, Mar. 2010.
DOI: 10.1016/j.matcom.2009.02.011
Google Scholar
[10]
D. Raabe, "Cellular Automata in Materials Science with Particular Reference to Recrystallization Simulation," https://doi.org/10.1146/annurev.matsci.32.090601.152855, vol. 32, p.53–76, Nov. 2003.
DOI: 10.1146/annurev.matsci.32.090601.152855
Google Scholar
[11]
C. E. Krill and L. Q. Chen, "Computer simulation of 3-D grain growth using a phase-field model," Acta Mater., vol. 50, no. 12, p.3059–3075, Jul. 2002.
DOI: 10.1016/s1359-6454(02)00084-8
Google Scholar
[12]
N. Moelans, B. Blanpain, and P. Wollants, "Quantitative analysis of grain boundary properties in a generalized phase field model for grain growth in anisotropic systems," Phys. Rev. B - Condens. Matter Mater. Phys., vol. 78, no. 2, p.024113, Jul. 2008.
DOI: 10.1103/physrevb.78.024113
Google Scholar
[13]
I. Steinbach et al., "A phase field concept for multiphase systems," Phys. D Nonlinear Phenom., vol. 94, no. 3, p.135–147, Jul. 1996.
Google Scholar
[14]
S. Florez, K. Alvarado, D. P. Muñoz, and M. Bernacki, "A novel highly efficient Lagrangian model for massively multidomain simulation applied to microstructural evolutions," Comput. Methods Appl. Mech. Eng., vol. 367, p.113107, Aug. 2020.
DOI: 10.1016/j.cma.2020.113107
Google Scholar
[15]
L. A. Barrales Mora, G. Gottstein, and L. S. Shvindlerman, "Three-dimensional grain growth: Analytical approaches and computer simulations," Acta Mater., vol. 56, no. 20, p.5915–5926, Dec. 2008.
DOI: 10.1016/j.actamat.2008.08.006
Google Scholar
[16]
H. Hallberg, "A modified level set approach to 2D modeling of dynamic recrystallization," Model. Simul. Mater. Sci. Eng., vol. 21, no. 8, p.085012, Nov. 2013.
DOI: 10.1088/0965-0393/21/8/085012
Google Scholar
[17]
H. K. Zhao, T. Chan, B. Merriman, and S. Osher, "A Variational Level Set Approach to Multiphase Motion," J. Comput. Phys., vol. 127, no. 1, p.179–195, Aug. 1996.
DOI: 10.1006/jcph.1996.0167
Google Scholar
[18]
B. Merriman, J. K. Bence, and S. J. Osher, "Motion of Multiple Junctions: A Level Set Approach," J. Comput. Phys., vol. 112, no. 2, p.334–363, Jun. 1994.
DOI: 10.1006/jcph.1994.1105
Google Scholar
[19]
M. Bernacki, H. Resk, T. Coupez, and R. E. Logé, "Finite element model of primary recrystallization in polycrystalline aggregates using a level set framework," Model. Simul. Mater. Sci. Eng., vol. 17, no. 6, p.1–22, 2009.
DOI: 10.1088/0965-0393/17/6/064006
Google Scholar
[20]
P. De Micheli, K. Alvarado, V. Grand, and M. Bernacki, "Full field Continuous dynamic recrystallization simulations considering precipitates evolutions with DIGIMU®," Mater. Res. Proc., vol. 41, p.2339–2346, 2024.
DOI: 10.21741/9781644903131-257
Google Scholar
[21]
P. Hahn, A. Gaillac, B. Flipon, M. Bignon, N. Bozzolo, and M. Bernacki, "Characterization and modelling of grain growth in Zr-Nb alloys: Niobium concentration influence," Mater. Res. Proc., vol. 41, p.715–722, 2024.
DOI: 10.21741/9781644903131-79
Google Scholar
[22]
T. Sourisseau, F. Jaime, P. D. E. Micheli, and V. Bouteille, "Predicting recrystallization phenomena with DIGIMU ® during hot-rolling of grade AISI 304L taking into account solute drag modelling," no. 1.
Google Scholar
[23]
S. Florez, J. Fausty, K. Alvarado, B. Murgas, and M. Bernacki, "A 2D Front-Tracking Lagrangian Model for the Modeling of Anisotropic Grain Growth," Mater. 2021, Vol. 14, Page 4219, vol. 14, no. 15, p.4219, Jul. 2021.
DOI: 10.3390/ma14154219
Google Scholar
[24]
H. Resk, L. Delannay, M. Bernacki, T. Coupez, and R. Logé, "Adaptive mesh refinement and automatic remeshing in crystal plasticity finite element simulations," Model. Simul. Mater. Sci. Eng., vol. 17, no. 7, 2009.
DOI: 10.1088/0965-0393/17/7/075012
Google Scholar
[25]
A. L. Cruz-Fabiano, R. Logé, and M. Bernacki, "Assessment of simplified 2D grain growth models from numerical experiments based on a level set framework," Comput. Mater. Sci., vol. 92, p.305–312, Sep. 2014.
DOI: 10.1016/j.commatsci.2014.05.060
Google Scholar
[26]
S. Florez, M. Shakoor, T. Toulorge, and M. Bernacki, "A new finite element strategy to simulate microstructural evolutions," Comput. Mater. Sci., vol. 172, p.109335, Feb. 2020.
DOI: 10.1016/j.commatsci.2019.109335
Google Scholar
[27]
J. W. Cahn, "The impurity-drag effect in grain boundary motion," Acta Metall., vol. 10, no. 9, p.789–798, Sep. 1962.
DOI: 10.1016/0001-6160(62)90092-5
Google Scholar
[28]
K. Lücke and H. P. Stüwe, "On the theory of impurity controlled grain boundary motion," Acta Metall., vol. 19, no. 10, p.1087–1099, Oct. 1971.
DOI: 10.1016/0001-6160(71)90041-1
Google Scholar