An advanced level set approach to grain growth – Accounting for grain boundary anisotropy and finite triple junction mobility
Source abstract
Abstract
Abstract The novelty of the proposed level-set approach to grain growth resides in the explicit consideration of structural interfacial elements of the microstructure. The extensions allow to consider anisotropic grain boundary energies and triple junction drag in polycrystalline materials. The simulated predictions were compared to analytical expressions for the growth rate of grains under the influence of a finite triple junction mobility with excellent agreement.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Microstructure and mechanical properties · Aluminum Alloy Microstructure Properties · Metallurgy and Material Forming
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (41)
Show source-provided references
1. Fronts propagating with curvature-dependent speed: algorithms based on hamilton-jacobi formulations10.1016/0021-9991(88)90002-2 ↗
2. Semi-implicit level set methods for curvature and surface diffusion motion10.1023/A:1025324613450 ↗
3. A variational formulation for a level set representation of multiphase flow and area preserving curvature flow10.4310/CMS.2008.v6.n1.a6 ↗
4. Diffusion generated motion using signed distance functions10.1016/j.jcp.2009.10.002 ↗
5. Diffusion generated motion for grain growth in two and three dimensions10.1016/j.jcp.2009.07.020 ↗
6. Large-scale simulation of normal grain growth via diffusion-generated motion
7. Simulations of anisotropic grain growth: efficient algorithms and misorientation distributions10.1016/j.actamat.2012.12.023 ↗
8. The effect of triple-junction drag on grain growth10.1016/S1359-6454(99)00373-0 ↗
9. Triple junction drag and grain growth in 2D polycrystals10.1016/S1359-6454(01)00391-3 ↗
10. Triple junction motion and grain microstructure evolution10.1016/j.actamat.2004.12.006 ↗
11. In-situ investigation of grain boundary and triple junction kinetics in aluminium 10p.p.m. magnesium10.1111/j.0022-2720.2004.01281.x ↗
12. Drag effect of triple junctions on grain boundary and grain growth kinetics in aluminium10.1016/j.actamat.2005.01.016 ↗
13. Effect of a finite quadruple junction mobility on grain microstructure evolution: theory and simulation10.1016/j.actamat.2007.11.013 ↗
14. Triple junction effects in solids10.1016/j.actamat.2011.02.024 ↗
15. Size-dependent grain-growth kinetics observed in nanocrystalline fe10.1103/PhysRevLett.86.842 ↗
16. Anomalously linear grain growth in nanocrystalline fe10.1016/j.scriptamat.2011.03.028 ↗
17. Effect of a finite boundary junction mobility on the growth rate of grains in two-dimensional polycrystals10.1016/j.actamat.2011.10.022 ↗
18. A potts model for junction limited grain growth10.1016/j.commatsci.2011.04.024 ↗
19. Grain microstructure evolution in two-dimensional polycrystals under limited junction mobility10.1016/j.scriptamat.2012.03.016 ↗
20. A vertex dynamics simulation of grain growth in two dimensions10.1080/13642819808206731 ↗
21. Influence of a reduced mobility of triple points on grain growth in two dimensions10.1016/S1359-6454(98)00318-8 ↗
22. 3-d phase-field simulation of grain growth: topological analysis versus mean-field approximations10.1016/j.actamat.2012.01.037 ↗
23. Geometrical grounds of mean field solutions for normal grain growth10.1016/j.actamat.2015.02.025 ↗
24. Vertex models for two-dimensional grain growth10.1080/13642818908205916 ↗
25. The effect of grain boundary junctions on grain microstructure evolution: 3D vertex simulation10.4028/www.scientific.net/MSF.558-559.1051 ↗
26. Barrales-Mora · 2008
27. Mora, 2D vertex modeling for the simulation of grain growth and related phenomena10.1016/j.matcom.2009.08.005 ↗
28. Phase-field models for microstructure evolution10.1146/annurev.matsci.32.112001.132041 ↗
29. A phase field concept for multiphase systems10.1016/0167-2789(95)00298-7 ↗
30. Grain growth in anisotropic systems: comparison of effects of energy and mobility10.1016/S1359-6454(02)00078-2 ↗
31. On the theory of grain growth in systems with anisotropic boundary mobility10.1016/S1359-6454(01)00369-X ↗
32. Three-dimensional normal grain growth: Monte carlo potts model simulation and analytical mean field theory10.1016/j.scriptamat.2005.12.042 ↗
33. C. Mießen, N. Velinov, L. Barrales-Mora, G. Gottstein, On tailoring a level-set grain growth algorithm for CCNuma architecture, to be published.
34. Linking anisotropic sharp and diffuse surface motion laws via gradient flows10.1007/BF02186838 ↗
35. Evans · 1998
36. Voro++: A three-dimensional voronoi cell library in c++, Chaos: an Interdisciplinary
37. Influence of triple junctions on grain boundary motion10.1016/S1359-6454(98)00241-9 ↗
38. Triple junction motion in aluminum tricrystals10.1016/S1359-6454(01)00142-2 ↗
39. O. Nemitz, Anisotrope Verfahren in der Bildverarbeitung: Gradientenflüsse, Level-Sets und Narrow Bands, Dissertation, Universität Bonn, 2008, .
40. Marching cube algorithm: review and trilinear interpolation adaptation for image-based dosimetric models10.1016/S0895-6111(03)00032-6 ↗
41. Two dimensional motion of idealized grain boundaries10.1063/1.1722511 ↗