Abstract
The solidification microstructure of Mg–Gd–Y–Zr alloy was investigated via an experimental study and cellular automaton (CA) simulation. In this study, step-shaped castings were produced, and the temperature variation inside the casting was recorded using thermocouples during the solidification process. The effects of the cooling rate and Zr content on the grain size of the Mg–Gd–Y–Zr alloy were studied. The results showed that the grain size decreased with an increase in the cooling rate and Zr content. Based on the experimental data, a quantitative model for calculating the heterogeneous nucleation rate was developed, and the model parameters were determined. The evolution of the solidification microstructure was simulated using the CA method, where the quantitative nucleation model was used and a solute partition coefficient was introduced to deal with the solute trapping in front of the solid–liquid (S/L) interface. The simulation results of the grain size were in good agreement with the experimental data. The simulation also showed that the fraction of the eutectics decreased with an increasing cooling rate in the range of 2.6–11.0 °C·s−1, which was verified indirectly by the experimental data.
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Liu H, Ju J, Yang XW, Li YH, Jiang JH, Ma AB. Microstructure and mechanical property of Mg–10Gd–2Y–1.5 Zn–0.5 Zr alloy processed by eight-pass equal-channel angular pressing. Rare Met. 2018. https://doi.org/10.1007/s12598-018-1022-1.
Zhang K, Li X, Li Y, Yuan J, Liu X, Wang S. Properties of ZM51 magnesium alloys with heat treatments. Chin J Rare Met. 2019;43(6):585.
Han Z, Pan H, Li Y, Luo AA, Sachdev AK. Study on pressurized solidification behavior and microstructure characteristics of squeeze casting magnesium alloy AZ91D. Metall Mater Trans B. 2015;46(1):328.
Han GM, Han ZQ, Luo AA, Liu BC. Microstructure characteristics and effect of aging process on the mechanical properties of squeeze-cast AZ91 alloy. J Alloys Compd. 2015;641:56.
Zheng L, Liu C, Wan Y, Yang P, Shu X. Microstructures and mechanical properties of Mg–10Gd–6Y–2Zn–0.6Zr (wt%) alloy. J Alloys Compd. 2011;509(35):8832.
Xu C, Xu SW, Zheng MY, Wu K, Wang ED, Kamado S, Wang GJ, Lv XY. Microstructures and mechanical properties of high-strength Mg–Gd–Y–Zn–Zr alloy sheets processed by severe hot rolling. J Alloys Compd. 2012;524:546.
Wu K, Wang X, Xiao L, Li Z, Han Z. Experimental study on the effect of cooling rate on the secondary phase in as-cast Mg–Gd–Y–Zr alloy. Adv Eng Mater. 2018;20(3):1700717.
Xu C, Zheng MY, Wu K, Wang ED, Fan GH, Xu SW, Kamado S, Liu XD, Wang GJ, Lv XY. Effect of cooling rate on the microstructure evolution and mechanical properties of homogenized Mg–Gd–Y–Zn–Zr alloy. Mater Sci Eng, A. 2013;559:364.
Huo L, Han ZQ, Liu BC. Effect of microstructure on tensile and fatigue properties of cast Mg–10Gd–2Y–0.5Zr alloy. Int J Cast Met Res. 2009;22(1–4):123.
Zhou J, Yang Y, Tong W, Wang J, Fu J, Wang B. Effect of cooling rate on the solidified microstructure of Mg-Gd-Y-Zr alloy. Rare Metal Mater Eng. 2010;39(11):1899.
Pang S, Wu G, Liu W, Sun M, Zhang Y, Liu Z, Ding W. Effect of cooling rate on the microstructure and mechanical properties of sand-casting Mg–10Gd–3Y–0.5Zr magnesium alloy. Mater Sci Eng, A. 2013;562:152.
Pang S, Wu G, Liu WC, Zhang L, Zhang Y, Conrad H, Ding WJ. Influence of cooling rate on solidification behavior of sand-cast Mg–10Gd–3Y–0.4Zr alloy. Trans Nonferrous Met Soc China. 2014;24(11):3413.
Lee YC, Dahle AK, StJohn DH. The role of solute in grain refinement of magnesium. Metall Mater Trans A. 2000;31(11):2895.
Qian M, Das A. Grain refinement of magnesium alloys by zirconium: formation of equiaxed grains. Scr Mater. 2006;54(5):881.
Sun M, Wu G, Wang W, Ding W. Effect of Zr on the microstructure, mechanical properties and corrosion resistance of Mg–10Gd–3Y magnesium alloy. Mater Sci Eng, A. 2009;523(1–2):145.
Sun M, Easton MA, StJohn DH, Wu G, Abbott TB, Ding W. Grain refinement of magnesium alloys by Mg–Zr master alloys: the role of alloy chemistry and Zr particle number density. Adv Eng Mater. 2013;15(5):373.
Jiang L, Liu W, Wu G, Ding W. Effect of chemical composition on the microstructure, tensile properties and fatigue behavior of sand-cast Mg–Gd–Y–Zr alloy. Mater Sci Eng, A. 2014;612:293.
Zhang X, Zhao J, Jiang H, Zhu M. A three-dimensional cellular automaton model for dendritic growth in multi-component alloys. Acta Mater. 2012;60(5):2249.
Wu M, Xiong S. Microstructure simulation of high pressure die cast magnesium alloy based on modified CA method. Acta Metall Sin. 2010;46(12):1534.
Su B, Han Z, Liu B. Cellular automaton modeling of austenite nucleation and growth in hypoeutectoid steel during heating process. ISIJ Int. 2013;53(3):527.
Han G, Han Z, Luo AA, Liu B. Three-dimensional phase-field simulation and experimental validation of β-Mg17Al12 phase precipitation in Mg–Al-based alloys. Metall Mater Trans A. 2015;46(2):948.
Han Z, Han G, Luo AA, Liu B. Large-scale three-dimensional phase-field simulation of multi-variant β-Mg17Al12 in Mg–Al-based alloys. Comput Mater Sci. 2015;101:248.
Beltran-Sanchez L, Stefanescu DM. Growth of solutal dendrites-a cellular automaton model. Int J Cast Met Res. 2003;15(3):251.
Beltran-Sanchez L. Stefanescu DM Growth of solutal dendrites: a cellular automaton model and its quantitative capabilities. Metall Mater Trans A. 2003;34(2):367.
Han G, Han Z, Luo AA, Sachdev AK, Liu B. A phase field model for simulating the precipitation of multi-variant β-Mg17Al12 in Mg–Al-based alloys. Scripta Mater. 2013;68(9):691.
Yin H, Felicelli SD. A cellular automaton model for dendrite growth in magnesium alloy AZ91. Model Simul Mater Sci Eng. 2009;17:75011.
Zhang L, Wang YM, Zhang CB, Wang SQ, Ye HQ. A cellular automaton model of the transformation from austenite to ferrite in low carbon steels. Model Simul Mater Sci Eng. 2003;11:791.
Michelic SC, Thuswaldner JM, Bernhard C. Polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys. Acta Mater. 2010;58(7):2738.
Zhu MF, Cao W, Chen SL, Hong CP, Chang YA. Modeling of microstructure and microsegregation in solidification of multi-component alloys. J Phase Equilib Diffus. 2007;28(1):130.
Luo S, Zhu MY. A two-dimensional model for the quantitative simulation of the dendritic growth with cellular automaton method. Comput Mater Sci. 2013;71:10.
Zhao Y, Qin RS, Chen DF. A three-dimensional cellular automata model coupled with finite element method and thermodynamic database for alloy solidification. J Cryst Growth. 2013;377:72.
Sobolev SL. Rapid solidification under local nonequilibrium conditions. Phys Rev E. 1997;55(6):6845.
Pineau A, Guillemot G, Tourret D, Karma A, Gandin CA. Growth competition between columnar dendritic grains-cellular automaton versus phase field modeling. Acta Mater. 2018;155:286.
Wang H, Liu F, Yang W, Chen Z, Yang G, Zhou Y. Solute trapping model incorporating diffusive interface. Acta Mater. 2008;56(4):746.
Hillert M. Solute drag, solute trapping and diffusional dissipation of Gibbs energy. Acta Mater. 1999;47(18):4481.
Liu Y, Xiao L, Zou W, Li B. Optimization of mechanical properties of GW63K heat-resistant Mg alloy. Hot Work Technol. 2015;24:210.
Christian JW. The Theory of Transformation in Metals and Alloys. 2nd ed. Oxford: Pergamon Press; 1975. 624.
Huo L, Han Z, Liu B. Modeling and simulation of microstructure evolution of cast magnesium alloys using CA method based on two sets of mesh. Acta Metall Sin. 2009;45(12):1414.
Aziz MJ. Model for solute redistribution during rapid solidification. J Appl Phys. 1982;53(2):1158.
Acknowledgements
This study was financially supported by the National Key Research and Development Program of China (No. 2016YFB0701204), the National Science and Technology Major Project of China (No. 2017ZX04006001) and the National Natural Science Foundation of China (No. U1737208).
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Wang, XY., Wang, FF., Wu, KY. et al. Experimental study and cellular automaton simulation on solidification microstructure of Mg–Gd–Y–Zr alloy. Rare Met. 40, 128–136 (2021). https://doi.org/10.1007/s12598-019-01355-7
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DOI: https://doi.org/10.1007/s12598-019-01355-7