Numerical Simulation of Binary Alloy Crystal Growth of Multiple Dendrites and Direcitonal Solidification Using Phase-Field Method

Abstract:

Phase field method (PFM) offers the prospect of carrying out realistic numerical calculation on dendrite growth in metallic systems. The dendritic growth process of multiple dendrites and direcitonal solidification during isothermal solidifications in a Fe-0.5mole%C binary alloy were simulated using phase field model. Competitive growth of multiple equiaxed dendrites were simulated, and the effect of anisotropy on the solute segregation and microstructural dedritic growth pattern in directional solidification process was studied in the paper. The simulation results showed the impingement of arbitrarily oriented grains, and the grains began to impinge and coalesce the adjacent grains with time going on, which made the dendrite growth inhibited obviously. In the directional solidification, the maximum concentration gradient showed in the dendrite tip, and highest solute concentration existed at the bottom of the dendrites. With the increasing of the anisotropy, dendrite tip radius became smaller, and the crystal structure is more uniform and dense.

• Periodical: Advanced Materials Research (Volumes 774-776)
• Pages: 703-706
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.774-776.703
• Online since: September 2013
• Authors: Ming Chen, Yu Jiang, Wen Long Sun, Xiao Dong Hu, Chun Li Liu
• Keywords: Dendritic Growth, Directional Solidification, Phase Field Method, Solute Segregation

References

[1] Kobayashi R: Physica D, 63 (1993), pp.410-423.

[2] Wheeler A A, Murrary B T, Schaefer R J: Physica D, 66 (1993), pp.243-262.

[3] Wheeler A A, Boettinger W J, Phys. Rev. A: 45 (1992), pp.7424-7439.

[4] Kim S G, Kim W T, Suzuki T: Phys. Rev. E, 60 (1999), pp.7186-7197.

[5] Boettinger W J, Warren J A: Metall. Mater Trans, 27A (1996), pp.657-668.

[6] Zhang B, Sekerka R F: Crystal Growth, 237 (2002), pp.138-143.

[7] Kobayashi R, Warren J A and Cater W C: Physica D, 119(1998) pp.410-423.

[8] Langer J S: Rev Mod Phys, 52(1980): pp.21-28.

[9] M Ode, T Suzuki, and Kim S G: Science and Technology of Advanced Materials, 1(2000), pp.43-49.

[10] A Karma, W J Rappel: Phys. Rev. Lett, 77 (1996), pp.4050-4053.

[11] Wang S L, Sekerka R F, Wheeler A A, et al: Physica D, 69 (1993), pp.189-200.