期刊
ACTA MATERIALIA
卷 61, 期 6, 页码 2033-2043出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2012.12.023
关键词
Grain growth; Computer simulations; Texture evolution; Unequal surface energies
资金
- National Science Foundation [DMS-0748333, DMS-0810113, DMS-0854870, DMS-1026317, DMS-1115252]
- Rackham Predoctoral Fellowship
- NSF [OISE-0967140]
- Alfred P. Sloan Foundation fellowship
- Direct For Mathematical & Physical Scien [GRANTS:13804278, 1115252, GRANTS:13844360] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0748333] Funding Source: National Science Foundation
- Division Of Mathematical Sciences [1115252, GRANTS:13844360, GRANTS:13804278] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1026317] Funding Source: National Science Foundation
- Office Of Internatl Science &Engineering
- Office Of The Director [967140] Funding Source: National Science Foundation
An accurate and efficient algorithm, closely related to the level set method, is presented for the simulation of Mullins's model of grain growth with arbitrarily prescribed surface energies. The implicit representation of interfaces allows for seamless transitions through topological changes. Well-resolved large-scale simulations are presented, beginning with over 650,000 grains in two dimensions and 64,000 grains in three dimensions. The evolution of the misorientation distribution function (MDF) is computed, starting from random and fiber crystallographic textures with Read-Shockley surface energies. Prior work had established that with random texture the MDF shows little change as the grain network coarsened whereas with fiber texture the MDF concentrates near zero misorientation. The lack of concentration about zero of the MDF in the random texture case has not been satisfactorily explained previously since this concentration would decrease the energy of the system. In this study, very-large-scale simulations confirm these previous studies. However, computations with a larger cut-off for the Read-Shockley energies and an affine surface energy show a greater tendency for the MDF to concentrate near small misorientations. This suggests that the reason the previous studies had observed little change in the MDF is kinetic in nature. In addition, patterns of similarly oriented grains are observed to form as the MDF concentrates. (c) 2012 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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