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A vector-valued phase field model for polycrystalline solidification using operator splitting method
Ren, Jian-kun; Chen, Yun; Xu, Bin; Sun, Ming-yue; Li, Dian-zhong
2019-06-01
Source PublicationCOMPUTATIONAL MATERIALS SCIENCE
ISSN0927-0256
Volume163Pages:37-49
AbstractThe vector-valued phase field model is computationally convenient to handle anisotropic polycrystalline growth during solidification and the subsequent formation of grain boundary after solidification. Generally, the formation of grain boundary is controlled by the misorientation between grains. In order to correctly simulate the grain boundary and coarsening behavior, reliable evaluation of the orientation angle gradient is crucial because of orientation angle periodicity. The proposed two-dimensional vector-valued phase field model which makes a pair of the transformed phase field and orientation as an ordering vector could avoid the incorrect calculation of the orientation gradient caused by the periodicity. The model was developed based on the previous frequently-used scalar-valued phase field model. Operator splitting method was employed to enable the finite element discretization in a simple way. A series of examples were then tested and benchmarked. Results demonstrate that the developed model is able to handle the orientation angle periodicity, and the computed steady-state tip velocity coincided well with the published benchmark data. The simulation of polycrystalline solidification and formation of grain boundary, as well as the coarsening implies the model's reliability in tackling the common crystal growth phenomena which take place during practical polycrystalline solidification.
KeywordPhase field Polycrystalline solidification Grain boundary Dendritic growth Operator splitting method Grain coarsening
Indexed BySCI
Language英语
WOS IDWOS:000466367000005
PublisherELSEVIER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/81053
Collection中国科学院金属研究所
Recommended Citation
GB/T 7714
Ren, Jian-kun,Chen, Yun,Xu, Bin,et al. A vector-valued phase field model for polycrystalline solidification using operator splitting method[J]. COMPUTATIONAL MATERIALS SCIENCE,2019,163:37-49.
APA Ren, Jian-kun,Chen, Yun,Xu, Bin,Sun, Ming-yue,&Li, Dian-zhong.(2019).A vector-valued phase field model for polycrystalline solidification using operator splitting method.COMPUTATIONAL MATERIALS SCIENCE,163,37-49.
MLA Ren, Jian-kun,et al."A vector-valued phase field model for polycrystalline solidification using operator splitting method".COMPUTATIONAL MATERIALS SCIENCE 163(2019):37-49.
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