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通过自适应有限元法求解相场模型,对过冷熔体中自由枝晶生长行为进行了数值模拟.自适应有限元法可减少计算量,提高求解速度,并同时降低存储空间的需求.模拟结果表明,随着各向异性系数ε4的增加,枝晶生长速度Vtip线性增大,而尖端半径rtip以指数方式减小.进一步研究表明界面稳定性系数σ*随各向异性系数ε4的增大而增大.

参考文献

[1] McFadden G B;Wheeler A A;Braun R J et al.Phase-field models for anisotropic interfaces[J].Physical Review E,1993,48:2016.
[2] Nash G E;Glicksman M E .Capillarity limited steady-state dendritic growth.I.Theoretical development[J].Acta Materialia,1974,22:1283.
[3] Collins J B;Levine H .Diffuse interface model of diffusionlimited crystal growth[J].Physical Review B,1985,31:6119.
[4] Langer J S.Lectures in the theory of pattern formation,Chance and Matter,Les Houches Session XLVI[M].North Holland,Amsterdam,1987
[5] Karma A .Phase-field model of eutectic growth[J].Physical Review E,1994,49:2245.
[6] Mcfadden G B;Wheeler A A;Braun R J et al.Phase-field models for anisotropic interfaces[J].Physical Review E,1993,48:2016.
[7] Karma A;Rappel W J .Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics[J].Physical Review Letters,1996,53:3017.
[8] Karma A;Rappel W J .Quantitative phase-field modeling of dendritic growth in two and three dimensions[J].Physical Review E,1998,57:4323.
[9] Provatas N;Goldenfeld N;Dantzig N .Adaptive mesh refinement computation of solidification microstructures using dynamic data structure[J].Journal of Computational Physics,1999,148:265.
[10] Zienkiewicz O C;Zhu J Z .A simple error estimator and adaptive procedure for practical engineering analysis[J].International Journal for Numerical Methods in Engineering,1987,24:337.
[11] Palle N.;Dantzig J.A. .An Adaptive Mesh Refinement Scheme for Solidification Problems[J].Metallurgical and Materials Transactions, A. Physical Metallurgy and Materials Science,1996(3):707-717.
[12] Langer J S .Instabilities and pattern formation in crystal growth[J].Reviews of Modern Physics,1980,52:1.
[13] Langer J S;Hong D C .Solvability conditions for dendritic growth in the boundary-layer model with capillary anisotropy[J].Physical Review A,1986,34:1462.
[14] Ben Amar M .Dendritic growth rate at arbitrary undercooling[J].Physical Review A,1990,41:2080.
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