Evolution equations and size distributions in nanocrystalline grain growth
Source abstract
Abstract
Size effects observed in nanocrystalline grain growth are modelled by attributing a specific energy and finite mobility to each structural feature of a polyhedral grain. By considering grain growth as a dissipative process that is driven by the reduction in the Gibbs free interface, edge and vertex energy, a general grain evolution equation is derived that can be divided into nine types of possible growth kinetics. The corresponding self-similar grain size distributions are derived and compared with results from modified Monte Carlo Potts model simulations taking into account size effects in triple and quadruple junction limited grain growth.
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Research context
OpenAlex topics: nanoparticles nucleation surface interactions · Microstructure and mechanical properties · Theoretical and Computational Physics
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References (40)
Show source-provided references
1. Atkinson · Acta Metall · 1988 · 36 · 46910.1016/0001-6160(88)90079-X ↗
2. Humphreys · 2004
3. Gottstein · 2010
4. Koch · 2007
5. Gottstein · Scripta Mater · 1998 · 38 · 154110.1016/S1359-6462(98)00074-8 ↗
6. Gottstein · Acta Mater · 2002 · 50 · 70310.1016/S1359-6454(01)00391-3 ↗
7. Novikov · Scripta Mater · 2005 · 52 · 85710.1016/j.scriptamat.2005.01.013 ↗
8. Gottstein · Scripta Mater · 2006 · 54 · 106510.1016/j.scriptamat.2005.11.057 ↗
9. Novikov · Mater Lett · 2008 · 62 · 2071
10. Barrales Mora · Acta Mater · 2008 · 56 · 115110.1016/j.actamat.2007.11.013 ↗
11. Gottstein · Scripta Mater · 2010 · 62 · 91410.1016/j.scriptamat.2010.03.017 ↗
12. Weygand · Acta Mater · 1998 · 46 · 655910.1016/S1359-6454(98)00318-8 ↗
13. Streitenberger P, Zöllner D. Recrystallization and grain growth IV. Mater Sci Forum, in press.
14. Zöllner D, Streitenberger P. Recrystallization and grain growth IV. Mater Sci Forum, in press.
15. Glicksman · Philos Mag · 2005 · 85 · 310.1080/14786430412331329892 ↗
16. Rios · Acta Mater · 2008 · 56 · 116510.1016/j.actamat.2007.11.010 ↗
17. Glicksman · Int J Mater Res · 2009 · 100 · 53610.3139/146.110069 ↗
18. Fischer · Philos Mag · 2003 · 83 · 107510.1080/0141861031000068966 ↗
19. Svoboda · Acta Mater · 2007 · 55 · 446710.1016/j.actamat.2007.04.012 ↗
20. Hillert · Acta Metall · 1965 · 13 · 22710.1016/0001-6160(65)90200-2 ↗
21. Rios · Scripta Mater · 2001 · 44 · 89310.1016/S1359-6462(00)00695-3 ↗
22. Hillert · Acta Mater · 2006 · 54 · 206310.1016/j.actamat.2005.12.033 ↗
23. Abbruzzese · Mater Sci Forum · 1996 · 204–206 · 55
24. Streitenberger · Scripta Mater · 2006 · 55 · 46110.1016/j.scriptamat.2006.05.009 ↗
25. Liu · Mater Sci Eng A · 2002 · 326 · 27610.1016/S0921-5093(01)01497-6 ↗
26. Ames · Acta Mater · 2008 · 56 · 425510.1016/j.actamat.2008.04.051 ↗
27. Zhao · Acta Mater · 2010 · 58 · 564610.1016/j.actamat.2010.06.039 ↗
28. Weissmüller · Nanostruct Mater · 1993 · 3 · 26110.1016/0965-9773(93)90088-S ↗
29. Liu · Scripta Mater · 2004 · 51 · 52110.1016/j.scriptamat.2004.05.042 ↗
30. Krill · Z Metall · 2005 · 96 · 113410.3139/146.101152 ↗
31. Liu · Scripta Mater · 2009 · 60 · 94510.1016/j.scriptamat.2009.02.015 ↗
32. Krill · Phys Rev Lett · 2001 · 86 · 84210.1103/PhysRevLett.86.842 ↗
33. Song · Acta Mater · 2006 · 54 · 554110.1016/j.actamat.2006.07.040 ↗
34. Streitenberger · Scripta Mater · 1998 · 39 · 171910.1016/S1359-6462(98)00373-X ↗
35. Streitenberger · 2001 · vol. 1 · 257
36. Zöllner · Scripta Mater · 2006 · 54 · 169710.1016/j.scriptamat.2005.12.042 ↗
37. Lifshitz · J Phys Chem Solids · 1961 · 19 · 3510.1016/0022-3697(61)90054-3 ↗
38. Wagner · Z Elektrochem · 1961 · 65 · 581
39. Zöllner · 2006
40. Zöllner D, submitted for publication.