自1960s Flemings时代起人们经过半个世纪的努力已对铸锭内铸态组织和宏观偏析形成的物理机理有了定性或半定量的认识,但还是难以对其进行定量预测,主要原因是其与各种多相流现象有关,例如凝固糊状区枝晶间的对流,等轴晶区晶粒沉积等.当然这些多相流现象是与凝固过程热力学和扩散动力学以及宏观铸态组织形成过程相耦合的.近20年多相计算流体动力学的发展及其在凝固领域的应用为解决上述问题提供了有效手段.首先对这方面的进展作一个简要综述,通过具体事例重点展示其在铸锭铸态组织和宏观偏析形成过程动态数值仿真的应用前景,指出目前存在的某些局限性.
参考文献
[1] | Iron Steel Institute .Report on the Heterogeneity of Steel Ingots[J].J Iron Steel lastitute,1926,103:39-151. |
[2] | Iron E Marburg .Accelerated Solidification in Ingots:Its Influence on Ingot Soundness[J].J Met,1953,5:157-172. |
[3] | Kajikawa K;Suzuki S;Takahashi F.Development of 650-ton-Class Ingot for Turbine Rotor Shaft Forging Application[A].Aachen,2012:1-6. |
[4] | Wang J;Fu P;Liu H et al.Shrinkage Porosity Criteria and Optimized Design of a 100-ton 30Cr2 Ni4 MoV Forging Ingot[J].Materials and Design,2012,35:446-456. |
[5] | Combeau H;Zaloznik M;Hans S et al.Prediction of Macrosegregation in Steel Ingot:Influence of the Motion and the Morphology of Equiaxed Grains[J].Metallurgical and Materials Transactions,2009,40B:289-304. |
[6] | Lesoult G .Macrosegregation in Steel Strands and Ingots:Characterization,Formation and Consequences[J].MATERIALS SCIENCE & ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING,2005,413-414:19-30. |
[7] | Flemings M C;Nereo G E .Macrosegregation-Part Ⅰ[J].TMS-AIME,1968,239:1449-1461. |
[8] | Flemings M.C.; .Our Understanding of Macrosegregation: Past and Present[J].ISIJ International,2000(9):833-841. |
[9] | Moore J J;Shah N A .Mechanisms of Formation of A-and V-Segregation in Cast Steel[J].International Metals Reviews,1983,28:338-356. |
[10] | C. Beckermann .Modelling of macrosegregation: applications and future needs[J].International Materials Reviews,2002(5):243-261. |
[11] | Pickering E J .Macrosegregation in Steel Ingots:the Applicability of Modelling and Characterisation Techniques[J].ISIJ International,2013,53:935-949. |
[12] | Voller V.A Multi-Scale/Multi-Physics Modeling Framework for Solidification Systems[A].Melbourne,Australia,2006:1-4. |
[13] | W.J.Boettinger;S.R.Coriell .Solidification microstructures: recent developments, future directions[J].Acta materialia,2000(1):43-70. |
[14] | Rappaz M .Modelling of Microstructure Formation in Solidification Processes[J].Intern Mater Rev,1989,34:93-123. |
[15] | Beckermann C;Viskanta R .Mathematical Modeling of Transport Phenomena during Alloy Solidification[J].Applied Mechanics Review,1993,46:1-27. |
[16] | M.Wu.Eulerian Multiphase Modelling of Solidification Processes,Habilitationsschrift[M].University of Leoben,2007 |
[17] | Bennon W D;Incropera F P .A Continuum Model for Momentum,Heat and Species Transport in Binary Solid-Liquid Phase Change Systems-Ⅰ.Model Formulation[J].International Journal of Heat and Mass Transfer,1987,30:2161-2170. |
[18] | Vreeman C J;Krane M J M;Incropera F P .The Effect of FreeFloating Dendrites and Convection on Macrosegragation in Direct Chill Cast Aluminum Alloys-Ⅰ:Model Development[J].Irt J Heat Mass Transfer,2000,43:677-686. |
[19] | Voller V R;Prakash C .A Fixed Grid Numerical Modelling Methodology for Convection-Diffusion Mushy Region Phase-Change Problems[J].International Journal of Heat and Mass Transfer,1987,30:1709-1719. |
[20] | Voller V R;Brent A D;Prakash C .The Modelling of Heat,Mass and Solute Transport in Solidification Systems[J].International Journal of Heat and Mass Transfer,1989,32:1719-1731. |
[21] | Voller V R;Brent A D;Prakash C .Modelling the Mushy Region in a Binary Alloy[J].Appl Math Modelling,1990,14:320-326. |
[22] | Voller V R;Swaminathan C R .General Source-Based Method for Solidification Phase Change[J].Numerical Heat Transfer Part B,1991,19:175-189. |
[23] | Prescott P J;Incropera F P .The Effect of Turbulence on Solidification of a Binary Metal Alloy with Electromagnetic Stirring[J].Transp Phenomena in Mater Proc Manufacturing ASME HTD,1994,280:59-69. |
[24] | Prescott P J;Incropera F P .Convective Transport Phenomena and Macrosegregation during Solidification of a Binary Metal Alloy-Ⅰ:Numerical Predictions[J].Journal of Heat Transfer,1994,116:735-741. |
[25] | Prescott P J;Incropera F P;Gaskell D R .Convective Transport Phenomena and Macrosegregation during Solidification of a Binary Metal Alloy-Ⅱ:Experiments and Comparisons with Numerical Predictions[J].Journal of Heat Transfer,1994,116:742-749. |
[26] | Nadella R;Eskin D;Du Q et al.Macrosegregation in DirectChill Casting of Aluminium Alloys[J].Progress in Material Science,2008,53:421-480. |
[27] | Gu J P;Beckermann C .Simulation of Convection and Macrosegregation in a Large Steel Ingot[J].Metallurgical and Materials Transactions A:Physical Metallurgy and Materials Science,1999,33:1357-1366. |
[28] | Thomas B G;Malley R O;Stone D.Measurement of Temperature,Solidification,and Microstructure in a Continuous Cast Thin Slab[A].,1998:1185-1199. |
[29] | Krane M;Incropera F;Gaskell D .Solidification of Ternary Metal Alloys-Ⅰ.Model Development[J].International Journal of Heat and Mass Transfer,1997,40:3827-3835. |
[30] | Schneider M;Beckermann C .Formation of Macrosegregation by Multicomponent Thermosolutal Convection during the Solidification of Steel[J].Metallurgical and Materials Transactions A:Physical Metallurgy and Materials Science,1995,26:2373-2388. |
[31] | Beckermann C;Viskanta R .Mathematical Modeling of Transport Phenomena during Alloy Solidification[J].Applied Mechanics Review,1993,46:1-27. |
[32] | Ni J;Beckermann C .A Volume-Averaged Two-Phase Model for Transport Phenomena during Solidification[J].Metallurgical and Materials Transactions B:Process Metallurgy and Materials Processing Science,1991,22:349-361. |
[33] | Ludwig A;Wu M .Modeling of Globular Equiaxed Solidification with a Two-Phase Approach[J].Metallurgical and Materials Transactions A:Physical Metallurgy and Materials Science,2002,33:3673-3683. |
[34] | Menghuai Wu;Andreas Ludwig;Andreas Buehrig-Polaczek;Martin Fehlbier;Peter R. Sahm .Influence of convection and grain movement on globular equiaxed solidification[J].International Journal of Heat and Mass Transfer,2003(15):2819-2832. |
[35] | Wu M;Ludwig A;Bührig-Polaczek A.Grain Sedimentation and Melt Convection Phenomena during Globular Equiaxed Solidification[A].Weinheim:Wiley-VCH Verlag GmbH & Co.KGaA,2004:204-212. |
[36] | Wu M;Ludwig A .Influence of Phase Transport Phenomena on Macrosegregation and Structure Formation during Solidification[J].Advancde Engineering Materials,2003,5:62-66. |
[37] | 王同敏,姚山,张兴国,金俊泽,M Wu,A Ludwig,B Pustal,A Bührig-Polaczek.等轴球晶凝固多相体系内热溶质对流、补缩流及晶粒运动的数值模拟Ⅰ.三相流模型[J].金属学报,2006(06):584-590. |
[38] | Wu M;Ludwig A;Luo J .Numerical Study of the Thermal-Solutal Convection and Grain Sedimentation during Globular Equiaxed Solidification[J].Materials Science Forum,2005,475-479:2725-2730. |
[39] | Miyazawa K;Schwerdtfeger K .Macrosegregation in Continuously Cast Steel Slabs-Preliminary Theoretical Investigation on the Effect of Steady-State Bulging[J].Arch Eisenhüttenwes,1981,52:415-422. |
[40] | Kajitani T;Drezet J M;Rappaz M .Numerical Simulation of Deformation-Induced Segregation in Continuous Casting of Steel[J].Metallurgical and Materials Transactions A:Physical Metallurgy and Materials Science,2001,32:1479-1491. |
[41] | Combeau H;Michel B;Fautrelle Y.Analysis of a Numerical Benchmark for Columnar Solidification of Binary Alloys[A].,2012 |
[42] | Wu M;Ktnizsy L;Ludwig A et al.On the Formation of Macrosegregation in Steel Ingot Castings[J].STEEL RESEARCH INTERNATIONAL,2008,79:637-644. |
[43] | Mayer F;Wu M;Ludwig A.Study of Centreline Macrosegregation in Steel Continuous Casting with a Two-Phase Volume Averaging Approach[A].,2009:279-286. |
[44] | Mayer F;Wu M;Ludwig A .Formation of Centreline Segregation in Continuous Slab Casting of Steel due to Bulging and/or Feeding[J].STEEL RESEARCH INTERNATIONAL,2010,81:660-667. |
[45] | Wu M;Domitner J;Ludwig A .Using a Two-Phase Columnar Solidification Model to Study the Principle of Mechanical Soft Reduction in Slab Casting[J].Metallurgical and Materials Transactions A:Physical Metallurgy and Materials Science,2012,43:945-963. |
[46] | Li J;Wu M;Hao J et al.Simulation of Channel Segregation Using a Two-Phase Columnar Solidification Model,Pan Ⅰ:Model Description and Verification[J].COMPUTATIONAL MATERIALS SCIENCE,2012,55:407-418. |
[47] | Li J;Wu M;Hao J et al.Simulation of Channel Segregation Using a Two-Phase Columnar Solidification Model,Part Ⅱ:Mechanism and Parameter Study[J].COMPUTATIONAL MATERIALS SCIENCE,2012,55:419-429. |
[48] | Wu M;Ludwig A .Study of Spatial Phase Separation during Solidification and Its Impact on the Formation of Macrosegregation[J].MATERIALS SCIENCE & ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING,2005,413-414:192-199. |
[49] | Wu M;Ludwig A .A 3-Phase Model for Mixed Columnar-Equiaxed Solidification[J].Metall Mater Tram A,2006,37:1613-1631. |
[50] | Wu M;Ludwig A .Using a Three-Phase Deterministic Model for the Columnar-to-Equiaxed Transition (CET)[J].Metall Mater TramA,2007,38:1465-1475. |
[51] | Wu M;Li J;Kharicha A.Using a Three-Phase Mixed Columnar-Equiaxed Solidification Model to Study Macrosegregation in Ingot Castings:Perspectives and Limitations[A].John Wiley & Sons,Inc,2013 |
[52] | Li J;Wu M;Kharicha A et al.The Predication of Macrosegregation in a 2.45 ton Steel Ingot with a Mixed Columnar-Equiaxed Three Phases Model[J].International Journal of Heat and Mass Transfer,2014,72:668-679. |
[53] | Rappaz M;Théwoz Ph .Solute Diffusion Model for Equiaxed Dendritic Growth[J].ActaMetall,1987,35:1487-1497. |
[54] | Rappaz M;Thévoz Ph .Solute Diffusion Model for Equiaxed Dendritic Growth-Analytical Solution[J].Acta Metall,1987,35:2929-2933. |
[55] | Wang C Y;Beekermann C .A Multiphase Solute Diffusion Model for Dendritic Alloy Solidification[J].Metall Tram A,1993,24:2787-2802. |
[56] | Wang C Y;Beckermann C .Equiaxed Dendritic Solidification with Convection:Part 1.Multi-Scale /-Phase Modeling[J].Metallurgical and Materials Transactions A:Physical Metallurgy and Materials Science,1996,27:2754-2783. |
[57] | Nielsen;Appolaire B;Combeau H et al.Measurements and Modelling on the Microstructural Morphology during Equiaxed Solidification of Al-Cu Alloys[J].Metall Mater Tram A,2001,32:2049-2060. |
[58] | M. Wu;A. Ludwig .Modeling equiaxed solidification with melt convection and grain sedimentation--I: Model description[J].Acta materialia,2009(19):5621-5631. |
[59] | M. Wu;A. Ludwig .Modeling equiaxed solidification with melt convection and grain sedimentation--II. Model verification[J].Acta materialia,2009(19):5632-5644. |
[60] | Wu M;Fjeld A;Ludwig A .Modeling Mixed Columnar-Equiaxed Solidification with Melt Convection and Grain Sedimentation-Part Ⅰ:Model Description[J].COMPUTATIONAL MATERIALS SCIENCE,2010,50:32-42. |
[61] | Wu M;Fjeld A;Ludwig A .Modeling Mixed Columnar-Equiaxed Solidification with Melt Convection and Grain Sedimentation-Pan Ⅱ:Illustrative Modeling Results and Parameter Studies[J].COMPUTATIONAL MATERIALS SCIENCE,2010,50:43-58. |
[62] | Wu M;Ludwig A .An Idea to Treat the Dendritic Morphology in the Mixed Columnar-Equiaxed Solidification[J].Int J Cast Metals Research,2009,22:323-327. |
[63] | Ahmadein M;Wu M;Li J et al.Prediction of the As-Cast Structure of Al-4.0 wt.% Cu Ingots[J].Metall Mater Tram A,2013,44:2895-2903. |
[64] | Moore J J .Review of Axial Segregation in Continuously Cast Steel[J].Iron and SteelSoc,1984,3:11-20. |
[65] | Wu M;Li J;Kharicha A et al.Modeling Diffusion-Governed Solidification of Ternary Alloy-Ⅰ:Coupling Solidification Kinetics with Thermodynamics[J].COMPUTATIONAL MATERIALS SCIENCE,2013,79:830-840. |
[66] | Wu M;Li J;Kharicha A et al.Modeling Diffusion-Governed Solidification of Ternary Alloy-Ⅱ:Macroscopic Transport Phenomena and Macrosegregation[J].COMPUTATIONAL MATERIALS SCIENCE,2014,92:267-285. |
[67] | Campbell J.Castings[M].Butterworth Heinemann Ltd,1991 |
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