Based on the physical effect of solute diffusion and interfacial energy
a model for describing the growth of single equiaxed dendrite was established
including the factors of constitutional undercooling
curvature undercooling
anisotropy of interfacial energy and perturbation on the interface.Using this modeling approach combining the finite volume method and the cellular automata technique
the solidification of Al-4%wtCu alloys was simulated.The results show that the impact of anisotropy coefficient and Gibbs-Thomson coefficient for the morphologies of dendrite and the velocity of dendrite growth is important.With the decreasing of anisotropy intensity and Gibbs-Thomson coefficient
the growth velocity of the dendritic tip would be reduced
and the well known branching of finger would been observed.
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references
Yin H.Simulation of a dendritic microstructure with the lattice Boltzmann and cellular automaton methods[J].Acta Materialia,2011,59:3124-3136.
Haxhimali T.Orientation selection in dendritic evolution[J].Nature Materials,2006,5:660.
Udaykumar H S,Mao L.Sharp-interface simulation of dendritic solidification of solutions[J].International Journal of Heat and Mass Transfer,2002,45(24):4793-4808.
Jacot A,Rappaz M.A pseudo-front tracking technique for the modeling of solidification microstructures in multi-component alloys[J].Acta Materialia,2002,50(8):1909-1926.
Lee J S,Suzuki T.Numerical simulation of isothermal dendritic growth by phase-field model[J].ISIJ International,1999,39(3):246-252.
Dilthey U,Pavlik V.Numerical simulation of dendrite morphology and grain growth with modified cellular automata[C].Modeling of Casting,Welding and Advanced Solidification Processes VIII.Warrendale PA:TMS,1998:589-596.
Lazaro B S,Stefanescu D M.Growth of solutal dendrites:A cellular automaton model and its quantitative capabilities[J].Metallurgical and Materials Transactions,2003,A34(2):367-382.
Nastac L.Numerical modeling of solidification mor-phologies and segregation patterns in cast dendritic alloys[J].Acta Materialia,1999,47(17):4253-4262.
Lazaro B S,Stefanescu D M.A quantitative dendrite growth model and analysis of stability concepts[J].Metallurgical and Materials Transactions,2004,A35(8):2471-2485.
Zhu M F,Stefanescu D M.Virtual front tracking model for the quantitative modeling of dendritic growth in solidification of alloys[J].ActaMaterialia,2007,55(5):1741-1755.
陈晋.基于胞元自动机方法的凝固过程微观组织数值模拟[D].南京:东南大学,2005.
黄建峰.基于元胞自动机法的等轴枝晶生长数值模拟[J].材料热处理技术,2010,39(10):46-50.Huang Jianfeng.Numerical simulation on equiaxed dendritic grain growth based on cellular automation method[J].Material&Heat Treatment,2010,39(10):46-50.(in Chinese)
汪靓.基于有限体积法的Al-Cu合金中Cu枝晶生长过程模拟[J].特种铸造及有色合金,2011,31(8):706-709.Wang Liang.Numerical simulation on Cu dendritie growth in Al-Cu alloy based on cellular automation and finite volumetric method[J].Special Casting&Nonferrous Alloys,2011,31(8):706-709.(in Chinese)
Ihle T.Fractal and compact growth morphologies in phase transitions with diffusion transport[J].Physical Review E,1994,49(4):2972.
Akamatsu S,Faivre G,Ihle T.Symmetry-broken double fingers and seaweed patterns in thin-film directional solidification of a nonfaceted cubic crystal[J].Physical Review E,1995,51(5):4751.