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Comparative Study and Limits of Different Level-Set Formulations for the Modeling of Anisotropic Grain Growth
- Source :
- Materials, Volume 14, Issue 14, Materials, MDPI, 2021, 14 (14), pp.3883. ⟨10.3390/ma14143883⟩, Materials, Vol 14, Iss 3883, p 3883 (2021)
- Publication Year :
- 2021
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2021.
-
Abstract
- International audience; In this study, four different finite element level-set (FE-LS) formulations are compared for the modeling of grain growth in the context of polycrystalline structures and, moreover, two of them are presented for the first time using anisotropic grain boundary (GB) energy and mobility. Mean values and distributions are compared using the four formulations. First, we present the strong and weak formulations for the different models and the crystallographic parameters used at the mesoscopic scale. Second, some Grim Reaper analytical cases are presented and compared with the simulation results, and the evolutions of individual multiple junctions are followed. Additionally, large-scale simulations are presented. Anisotropic GB energy and mobility are respectively defined as functions of the mis-orientation/inclination and disorientation. The evolution of the disorientation distribution function (DDF) is computed, and its evolution is in accordance with prior works. We found that the formulation called “Anisotropic” is the more physical one, but it could be replaced at the mesoscopic scale by an isotropic formulation for simple microstructures presenting an initial Mackenzie-type DDF.
- Subjects :
- FOS: Computer and information sciences
grain boundary energy
Technology
Materials science
level-set method
FOS: Physical sciences
Context (language use)
02 engineering and technology
finite element analysis
Weak formulation
01 natural sciences
Article
[SPI.MAT]Engineering Sciences [physics]/Materials
Computational Engineering, Finance, and Science (cs.CE)
0103 physical sciences
heterogeneous grain growth
General Materials Science
Anisotropy
Computer Science - Computational Engineering, Finance, and Science
grain boundary mobility
010302 applied physics
Mesoscopic physics
Microscopy
QC120-168.85
Condensed Matter - Materials Science
Isotropy
Mathematical analysis
QH201-278.5
Materials Science (cond-mat.mtrl-sci)
021001 nanoscience & nanotechnology
Engineering (General). Civil engineering (General)
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Finite element method
TK1-9971
Grain growth
Descriptive and experimental mechanics
[PHYS.COND.CM-MS]Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci]
Grain boundary
Electrical engineering. Electronics. Nuclear engineering
TA1-2040
0210 nano-technology
Subjects
Details
- Language :
- English
- ISSN :
- 19961944
- Database :
- OpenAIRE
- Journal :
- Materials
- Accession number :
- edsair.doi.dedup.....d2d0cbc77471cfa5a15ad0d488e7fb34
- Full Text :
- https://doi.org/10.3390/ma14143883