Grain Growth of Polycrystalline AZ31 Mg Alloy Containing Second Phase Particles by Phase Field Simulation

Abstract:

A phase field model has been established to simulate the grain growth of AZ31 magnesium alloy containing spherical particles with different sizes and contents under realistic spatial-temporal scales. The expression term of second phase particles are added into the local free energy density equation, and the simulated results show that the pinning effect of particles on the grain growth is increased when the contents of particles is increasing, which is consistent with the law of Zener pinning. There is a critical particle size to affect the grain growth in the microstructure. If the size of particles is higher than the critical value, the pinning effect of particles for grain growth will be increased with further decreasing the particle size; however the effect goes opposite if the particle size is lower than the critical value.

• Periodical: Materials Science Forum (Volume 850)
• Pages: 307-313
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.850.307
• Online since: March 2016
• Authors: Yan Wu*, Si Xia, Bernie Ya Ping Zong
• Keywords: Grain Growth, Phase Field, Second Phase Particles

References

[1] Y. Ali, D. Qiu, B. Jiang, F. Pan, M.X. Zhang, Current research progress in grain refinement of cast magnesium alloys: a review article, J. Alloys and Compd. 619 (2015) 639-651.

DOI: 10.1016/j.jallcom.2014.09.061

[2] D. S. Svyetlichnyy, Modeling of grain refinement by cellular automata, Comput. Mater. Sci. 77 (2013) 408-416.

DOI: 10.1016/j.commatsci.2013.04.065

[3] X. Song, G. Liu, N. Gu, Influence of the second-phase particle size on grain growth based on computer simulation, Mater. Sci. Eng. A 270 (1999) 178-182.

DOI: 10.1016/s0921-5093(99)00177-x

[4] S. M. H. Haghighat, A. K. Taheri, Investigation of limiting grain size and microstructure homogeneity in the presence of second phase particles using the Monte Carlo method, J. Mater. Process Tech. 195 (2008) 195-203.

DOI: 10.1016/j.jmatprotec.2007.04.132

[5] J. Gao, R. G. Thompson, B. R. Patterson, Computer simulation of grain growth with second phase particle pinning, Acta Mater. 45 (1997) 3656-3658.

DOI: 10.1016/s1359-6454(97)00048-7

[6] N. Wang, Y. Wen, L. Q. Chen, Pinning force from multiple second-phase particles in grain growth, Comput. Mater. Sci. 93 (2014) 81- 85.

DOI: 10.1016/j.commatsci.2014.06.030

[7] K. Chang, W. Feng, L. Q. Chen, Effect of second-phase particles morphology on grain growth kinetics, Acta Meter. 57 (2009) 5229-5236.

DOI: 10.1016/j.actamat.2009.07.025

[8] G. Z. Zhou, Y. X. Wang, Z. Chen, Phase-field method simulation of the effect of hard particles with different shapes on two-phase grain growth, Acta Metall Sin. 48 (2012) 227-234.

DOI: 10.3724/sp.j.1037.2011.00609

[9] A. Mallick, Effect of second phase mobile particles on polycrystalline grain growth: a phase-feld approch, Comput. Mater. Sci. 67 (2013) 27-34.

DOI: 10.1016/j.commatsci.2012.08.022

[10] Y. P. Zong, M. T. Wang, W. Guo, Phase field simulation on recrystallization and secondary phase precipitation under strain field, Acta. Phys. Sin. 58 (2009) S161-S168.

DOI: 10.7498/aps.58.161

[11] Y. Wu, B. Y. Zong, X. G. Zhang, M. T. Wang, Grain growth in multiple scales of polycrystalline AZ31 magnesium alloy by phase field simulation, Metall. Mater. Trans. A 44 (2013) 1599-1610.

DOI: 10.1007/s11661-012-1478-9

[12] S. M. Allen, J. W. Cahn, A micronscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Acta. Metall. 27 (1979) 1085-1095.

DOI: 10.1016/0001-6160(79)90196-2

[13] J. W. Cahn, J. E. Hilliard, Free energy of a nonuniform system. I. interfacial free energy, J Chem. Phys. 28 (1958) 258-267.

DOI: 10.1063/1.1744102

[14] D. Fan, L. Q. Chen, Computer simulation of grain growth using a contiuum field model, Acta Mater. 45 (1996) 611-622.

[15] X. G. Zhang, Y. P. Zong, M. T. Wang, Y. Wu, A physical model to express grain boundaries in grain growth simulation by phase- field method, Acta Phys. Sin. 60 (2011) 755-763.

[16] N. Moelans, B. Blanpain, P. Wollants, A phase field model for the simulation of grain growth in materials containing finely dispersed incoherent second-phase particles, Acta. Mater. 53 (2005) 1771-1781.

DOI: 10.1016/j.actamat.2004.12.026

[17] N. Moelans, B. Blanpain, P. Wollants, Phase field simulations of grain growth in two-dimensional systems containing finely dispersed second-phase particles, Acta Mater. 54 (2006) 1175-1184.

DOI: 10.1016/j.actamat.2005.10.045

[18] Y. H. Wen, B. Wang, J. P. Simmons, Y. Wang, A phase-field model for heat treatment applications in Ni-based alloys, Acta. Mater. 54 (2006) 2087-(2099).

DOI: 10.1016/j.actamat.2006.01.001