Zone Partitioning Sequential Calculation Method for Three-Dimensional Phase-Field Material Simulation during Directional Solidification

Abstract:

Complex dendritic structures can be simulated directly by phase field method. However, phase field method needs a very fine mesh computing and memory requirements. A new calculation method named zone partitioning sequential calculation method is proposed to expand the simulation area of phase field method. The simulation area can be divided into several parts, and the parts can be calculated one by one in a certain order by the new method. This new method can reduce the computing and memory requirements of single calculation, because a part of the simulation area is less than the whole simulation area. Although this method could make error in the interface of different parts of the simulation area when the grains go through the interface, but the error has less effect on the grain growth. By using phase field method, coupled with zone partitioning sequential calculation method, the simulation of the directional solidification process of Al-Cu binary alloy is operated. The results show that the new method can be applied to phase field simulation of binary alloy solidification in a large area. The simulation results have certain accuracy and reliability.

• Periodical: Key Engineering Materials (Volume 723)
• Pages: 400-405
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.723.400
• Online since: December 2016
• Authors: Li Feng*, Hai Huang Hu, Bei Bei Jia, Gang Gang Wang, Chang Sheng Zhu, Rong Zhen Xiao
• Keywords: Al-Cu Alloy, Directional Solidification, Phase Field Method, Zone Partitioning Sequential Calculation

References

[1] S. Jonathan, P. Nikolas, Characterizing solute segregation and grain boundary energy in binary alloy phase field crystal models, Comput. Mater. Sci. 81 (2014) 493-502.

DOI: 10.1016/j.commatsci.2013.09.002

[2] H. K. Lin, C. W. Lan, Three-dimensional phase field modeling of silicon thin-film growth during directional solidification: Facet formation and grain competition, J. Cryst. Growth, 401 (2014) 740-747.

DOI: 10.1016/j.jcrysgro.2014.02.016

[3] M. Jamshidian, T. Rabczuk, Phase field modeling of stressed grain growth: Anlaytical study and the effect of microstructural length scale, J. Comput. Phys. 261 (2014) 23-35.

DOI: 10.1016/j.jcp.2013.12.022

[4] H. K. Yeddu, A. Borgenstam, J. Ågren, Effect of martensite embryo potency on the martensitic transformations in steels-A 3D phase-field study, J. Alloys Compd. 577 (2013) 141-146.

DOI: 10.1016/j.jallcom.2012.01.087

[5] J. W. Wang, Z. P. Wang, Y. Lu, et al. Effect of forced lamina flow on microsegregation simulated by phase field method quantitatively, Chin. J. Nonferrous Metals, 22(2) (2012) 391-397.

DOI: 10.1016/s1003-6326(11)61189-8

[6] X. Ren, J. C. Wang, Y. J. Yang, et al. Simulation of the structure and motion of grain boundary in pure substances by phase field crystal model, J. Phys. 59(5) (2010) 3595-3600.

DOI: 10.7498/aps.59.3595

[7] T. Pusztai, G. Bortel, L. Gránásy, Phase field theory of polycrystalline solidification in three dimensions, Europhys. Lett. 71 (2005) 131-137.

DOI: 10.1209/epl/i2005-10081-7

[8] I. Steinbach, Effect of interface anisotropy on spacing selection in constrained dendrite growth, Acta Materialia, 56(18) (2008) 4965-4971.

DOI: 10.1016/j.actamat.2008.06.009

[9] Y. L. Tsai, C. C. Chen, C. W. Lan, Three-dimensional adaptive phase field modeling of directional solidification of a binary alloy: 2D to 3D transitions, Int. J. Heat Mass Transf. 53(9-10) (2010) 2272-2278.

DOI: 10.1016/j.ijheatmasstransfer.2009.11.040

[10] Y. Q. Li, S. M. Xiong, J. S. Peng, Zone partitioning calculational technique for solidification simulation during sand casting, J. Tsinghua Univ. (Sci. & Tech. ), 43(2) (2003) 211-213.