journal article·2026-01

Beyond curvature-driven grain growth: Insights from fully anisotropic Monte Carlo Potts simulations

Lin Yang, Vivekanand Muralikrishnan, Vishal Yadav, Zhihui Tian, Joel B. Harley, Amanda R. Krause, Michael R. Tonks

Acta Materialia· Volume 302
Publisher page

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Solidification and crystal growth phenomena · Metallurgical Processes and Thermodynamics · Microstructure and mechanical properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (73)

Show source-provided references
1. Rollett · 2004
2. Gottstein · 2009
3. Grain boundary migration in polycrystals10.1146/annurev-matsci-080921-091511 ↗
4. The role of the interface stiffness tensor on grain boundary dynamics10.1016/j.actamat.2018.06.025 ↗
5. Two-dimensional motion of idealized grain boundaries10.1063/1.1722511 ↗
6. Surface tension as a motivation for sintering
7. Grain boundary engineering: Historical perspective and future prospects10.1007/s10853-011-5393-z ↗
8. Computer simulation of grain growth—I. Kinetics10.1016/0001-6160(84)90151-2 ↗
9. Monte Carlo simulation of grain growth10.2355/isijinternational.32.267 ↗
10. Misorientation texture development during grain growth. Part I: Simulation and experiment10.1016/j.actamat.2009.08.036 ↗
11. How grain growth stops: A mechanism for grain-growth stagnation in pure materials10.1126/science.1187833 ↗
12. Computer simulation of the domain dynamics of a quenched system with a large number of nonconserved order parameters: The grain-growth kinetics10.1103/PhysRevB.50.15752 ↗
13. Quantitative analysis of grain boundary properties in a generalized phase field model for grain growth in anisotropic systems10.1103/PhysRevB.78.024113 ↗
14. Vertex models for two-dimensional grain growth10.1080/13642818908205916 ↗
15. A vertex dynamics simulation of grain growth in two dimensions10.1080/13642819808206731 ↗
16. Simulation of normal grain growth by cellular automata10.1016/1359-6462(96)00055-3 ↗
17. A 3D cellular automaton algorithm for the prediction of dendritic grain growth10.1016/S1359-6454(96)00303-5 ↗
18. A numerical method for tracking curve networks moving with curvature motion10.1006/jcph.1995.1149 ↗
19. A 2D front-tracking Lagrangian model for the modeling of anisotropic grain growth10.3390/ma14154219 ↗
20. A multiple level set method for modeling grain boundary evolution of polycrystalline materials10.12989/imm.2008.1.2.191 ↗
21. Level set framework for the numerical modelling of primary recrystallization in polycrystalline materials10.1016/j.scriptamat.2008.02.016 ↗
22. Motion of multiple junctions: A level set approach10.1006/jcph.1994.1105 ↗
23. Influence of grain boundary energy anisotropy on the evolution of grain boundary network structure during 3D anisotropic grain growth10.1016/j.commatsci.2022.111879 ↗
24. Monte Carlo modeling of cube texture evolution in Ni-tapes during grain growth10.4028/www.scientific.net/MSF.467-470.1075 ↗
25. Hernández-Rivera · 2018
26. Calculating the grain boundary inclination of voxelated grain structures using a smoothing algorithm10.1016/j.scriptamat.2022.114796 ↗
27. Vector-valued phase field model for crystallization and grain boundary formation10.1016/S0167-2789(98)00026-8 ↗
28. A continuum model of grain boundaries10.1016/S0167-2789(00)00023-3 ↗
29. Large-scale phase-field study of anisotropic grain growth: Effects of misorientation-dependent grain boundary energy and mobility10.1016/j.commatsci.2020.109992 ↗
30. Role of inclination dependence of grain boundary energy on the microstructure evolution during grain growth10.1016/j.actamat.2020.02.043 ↗
31. New phase-field model for polycrystalline systems with anisotropic grain boundary properties10.1016/j.matdes.2022.110592 ↗
32. Phase field modeling of anisotropic bicrystal grain growth using a spherical-Gaussian-based 5-D computational approach10.1016/j.jcrysgro.2023.127508 ↗
33. Phase-field model for anisotropic grain growth10.1016/j.actamat.2022.118169 ↗
34. Finite element model of primary recrystallization in polycrystalline aggregates using a level set framework10.1088/0965-0393/17/6/064006 ↗
35. A modified level set approach to 2D modeling of dynamic recrystallization10.1088/0965-0393/21/8/085012 ↗
36. A two-dimensional study of coupled grain boundary motion using the level set method10.1088/0965-0393/22/5/055022 ↗
37. Influence of anisotropic grain boundary properties on the evolution of grain boundary character distribution during grain growth — a 2D level set study10.1088/0965-0393/22/8/085005 ↗
38. Modeling of grain growth under fully anisotropic grain boundary energy10.1088/1361-651X/ab0c6c ↗
39. Statistical behaviour of interfaces subjected to curvature flow and torque effects applied to microstructural evolutions10.1016/j.actamat.2021.117459 ↗
40. Grain boundary velocity and curvature are not correlated in Ni polycrystals10.1126/science.abj3210 ↗
41. Observations of unexpected grain boundary migration in SrTiO310.1016/j.scriptamat.2022.115055 ↗
42. Grain boundary migration in polycrystalline α-Fe10.1016/j.actamat.2023.119541 ↗
43. Kinetics of grain boundary migration in nanosized al polycrystals10.1016/j.actamat.2023.119261 ↗
44. Comparing molecular dynamics simulations of grain growth with experimental data10.1016/j.scriptamat.2024.116429 ↗
45. Impact of grain boundary energy anisotropy on grain growth
46. Parallel simulation via SPPARKS of on-lattice kinetic and Metropolis Monte Carlo models for materials processing10.1088/1361-651X/accc4b ↗
47. A new point of view to determine the simulation temperature for the Potts model simulation of grain growth10.1016/j.commatsci.2014.01.044 ↗
48. A triple junction energy study using an inclination-dependent anisotropic Monte Carlo potts grain growth model
49. Grain boundary energy function for Fcc metals10.1016/j.actamat.2013.10.057 ↗
50. Grain boundary energies in body-centered cubic metals10.1016/j.actamat.2015.01.069 ↗
51. Computation of five-dimensional grain boundary energy10.1007/s40195-015-0242-8 ↗
52. An analytical model of interfacial energy based on a lattice-matching interatomic energy10.1016/j.jmps.2016.01.008 ↗
53. Grain boundary energy function for α iron10.1016/j.mtla.2021.101186 ↗
54. Five degree-of-freedom property interpolation of arbitrary grain boundaries via Voronoi fundamental zone framework10.1016/j.commatsci.2021.110756 ↗
55. Anisotropic Grain Boundary Area and energy distributions in tungsten10.1016/j.scriptamat.2021.114384 ↗
56. A molecular dynamics survey of grain boundary energy in uranium dioxide and cerium dioxide10.1111/jace.18340 ↗
57. Elucidating grain boundary energy minimization mechanisms in textured Ca-doped alumina with inclination-dependent Monte Carlo potts simulations10.1016/j.actamat.2025.120876 ↗
58. Dislocation models of crystal grain boundaries10.1103/PhysRev.78.275 ↗
59. The triple junction10.1007/978-94-007-4969-6_10 ↗
60. Excess energy of grain-boundary trijunctions: an atomistic simulation study10.1016/S1359-6454(99)00120-2 ↗
61. The effect of triple-junction drag on grain growth10.1016/S1359-6454(99)00373-0 ↗
62. Evolution equations and size distributions in nanocrystalline grain growth10.1016/j.actamat.2011.03.048 ↗
63. Topological characterization of microstructures from 3D digitized voxel data10.1016/j.commatsci.2011.11.012 ↗
64. Integral mean curvature analysis of 3D grain growth: Linearity of dV/Dt and grain volume10.1088/1757-899X/580/1/012020 ↗
65. On the effect of purity and orientation on grain boundary motion10.1016/S1359-6454(97)00277-2 ↗
66. Misorientation dependence of intrinsic grain boundary mobility: simulation and experiment10.1016/S1359-6454(99)00240-2 ↗
67. Grain boundary migration in Fe–3.5% Si bicrystals with [001] tilt boundaries10.1016/S1359-6454(98)00105-0 ↗
68. Subgrain growth and low angle boundary mobility in aluminium crystals of orientation {110}<00110.1016/S1359-6454(99)00418-8 ↗
69. Intrinsic grain boundary mobility in alumina10.1111/j.1551-2916.2006.01331.x ↗
70. Measuring relative grain boundary energies and mobilities in an aluminum foil from triple junction geometry10.1016/S1359-6462(01)00960-5 ↗
71. Survey of computed grain boundary properties in face-centered cubic metals—II: Grain boundary mobility10.1016/j.actamat.2009.04.015 ↗
72. A new efficient grain growth model using a random Gaussian-sampled mode filter10.1016/j.matdes.2023.112604 ↗
73. Computer simulation of grain growth using a continuum field model10.1016/S1359-6454(96)00200-5 ↗