柱状晶向等轴晶转变(CET)的研究具有重要意义,数值模拟是其有效的研究方法之一.重点介绍了3种CET转变数值模拟模型--确定性模型、随机性模型和相场模型.指出了各种模型目前在该领域应用中存在的问题,并展望了其今后的发展方向.
参考文献
[1] | Hunt J D .Steady state columnar and equiaxed growth of dendrites and eutectic[J].Materials Science and Engineering,1984,65(01):75. |
[2] | Wang C Y;Beckermann C .Prediction of columnar to equiaxed transition during diffusion-controlled dendritic alloy solidification[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,1993,25A:1081. |
[3] | Gandin Ch A .From constrained to unconstrained growth during directional solidification[J].Acta Metallurgica,2000,48:2483. |
[4] | Ares A E et al.Analysis of solidification parameters during solidification of lead and aluminum base alloys[J].Journal of Crystal Growth,2005,275:e319. |
[5] | Reinhart G et al.Investigation of columnar-equiaxed transition and equiaxed growth of aluminium based alloys by X-ray radiography[J].Materials Science and Engineering A,2005,413-414:384. |
[6] | Nguyen-thi H et al.In-situ and real-time investigation of columnar-to-equiaxed transition in metallic alloy[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,2007,38A:1458. |
[7] | Ares A E;Schvezov C E .Influence of solidification thermal parameters on the columnar-to-equiaxed transition of aluminum-zinc and zinc-aluminum alloys[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,2007,38A:1485. |
[8] | 张宙庆,张国伟,侯华,徐宏.铸件凝固过程的微观组织数值模拟研究进展[J].华北工学院学报,2004(05):386-390. |
[9] | Martorano M A;Beckermann C;Gandin Ch A .A solutal interaction mechanism for the columnar-to-equiaxed transition in alloy solidification[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,2003,34A:1657. |
[10] | Wu M;Ludwig A .A three-phase model for mixed columnar-equiaxed solidification[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,2006,37A:1613. |
[11] | Wu M;Ludwig A .Using a three-phase deterministic model for the columnar-to-equiaxed transition[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,2007,38A:1465. |
[12] | Wang C Y;Beckermann C .Equiaxed dendritic solidification with convection multistage/multiphase modeling[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,1996,27A:2754. |
[13] | Wang C Y;Beckermarm C .Equiaxed dendritic solidification with convection numerical simulation for an Al-4wt% Cu alloy[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,1996,27A:2765. |
[14] | Wang C Y;Beckermarm C .Equiaxed dendritic solidiflcation with convection comparisons with NH4Cl-H2O experiments[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,1996,27A:2784. |
[15] | Ludwig A;Wu M .Modeling the columnar-to-equiaxed transition with a three-phase Eulerian approach[J].Materials Science and Engineering A,2005,413-414:109. |
[16] | Ludwig A et al.A way of coupling ternary phase diagram information with multiphase solidification simulations[J].Materials Science and Engineering A,2005,413-414:485. |
[17] | Wu M;Ludwig A .On the impact of macroscopic phase sep aration on solidification microstructures[J].Advanced Engineering Materials,2005,7:846. |
[18] | Rappaz M;Gandin Ch A .Probabilistic modelling of microstructure formation in solidification processes[J].Acta Metallurgica,1993,41:345. |
[19] | Rappaz M;Charbon Ch;Sasikumar R .About the shape of eutectic grains solidifying in a thermal gradient[J].Acta Metallurgica,1994,42:2365. |
[20] | Gandin Ch A;Rappaz M;Tintillier R .Three-dimensional probabilistic simulation of solidification grain structures:Application to superalloy precision castings[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,1993,24A:467. |
[21] | Gandin Ch A;Rappaz M;Tintillier R .3-dimensional simulation of the grain formation in investment castings[J].Metallurgical & Materials Transactions A:Physical Metallurgy & Materials Science,1994,25A:629. |
[22] | zeekermann C .Modeling segregation and grain structure development in equiaxed solidification[J].Journal of the Minerals,Metals & Materials Society,1997,49:13. |
[23] | LAZARO BELTRAN-SANCHEZ;DORU M. STEFANESCU .Growth of Solutal Dendrites: A Cellular Automaton Model and Its Quantitative Capabilities[J].Metallurgical and Materials Transactions, A. Physical Metallurgy and Materials Science,2003(2):367-382. |
[24] | Liu Dongrong et al.Modelling of solidification of Ti-45 at%Al alloy ingot by the stochastic model[J].Journal of Materials Science,2005,40:6071. |
[25] | Gandin Ch A;Rappaz M .A coupled finite element-cellular automaton model for the prediction of dendritic grain structures in solidification processes[J].Acta Metallurgica,1994,42:2233. |
[26] | Vandyoussefi M;Greer A L .Application of cellular automaton finite element model to the grain refnement of directionally solidified Al-4.15wt% Mg alloys[J].Acta Materials,2002,50:1693. |
[27] | Spittle JA.;Brown SGR. .A CELLULAR AUTOMATON MODEL OF STEADY-STATE COLUMNAR-DENDRITIC GROWTH IN BINARY ALLOYS[J].Journal of Materials Science,1995(16):3989-3994. |
[28] | Brown SGR. .Simulation of diffusional composite growth using the cellular automaton finite difference (CAFD) method[J].Journal of Materials Science,1998(19):4769-4773. |
[29] | Jarvis D J;Brown S G R .Modelling of non-equilibrium solidification in ternary alloys:comparison of 1D,2D,and3D cellular automaton-finite difference simulations[J].Materials Science and Technology,2000,16:1420. |
[30] | Dong HB;Yang XL;Lee PD;Wang W .Simulation of equiaxed growth ahead of an advancing columnar front in directionally solidified Ni-based superalloys[J].Journal of Materials Science,2004(24):7207-7212. |
[31] | Dong HB;Lee PD .Simulation of the columnar-to-equiaxed transition in directionally solidified Al-Cu alloys[J].Acta materialia,2005(3):659-668. |
[32] | Liu D R et al.Stochastic modeling of columnar-to-equiaxed transition in Ti-(45~48at%)Al alloy ingots[J].Materials Science and Engineering A,2006,415:184. |
[33] | 张国伟,侯华,徐宏.铸件凝固组织数值模拟研究进展[J].材料导报,2004(10):6-9. |
[34] | Boettinger W J;Warren J A;Beckermann C et al.Phasefield simulation of solidification[J].Annual Review of Materials Research,2002,32:163. |
[35] | Li Qiang,Guo Qiao-Yi,Li Rong-De.Numerical simulation of dendrite growth and microsegregation formation of binary alloys during solidification process[J].中国物理(英文版),2006(04):778-791. |
[36] | Badillo A;Beckermann C .Phase-field simulation of columnar-to-equiaxed transition in alloy solidification[J].Acta Materials,2006,54:2015. |
[37] | Karma A. .Phase-field formulation for quantitative modeling of alloy solidification - art. no. 115701[J].Physical review letters,2001(11):5701-0. |
[38] | Echebarria B;Folch R;Karma A;Plapp M .Quantitative phase-field model of alloy solidification[J].Physical review, E. Statistical, nonlinear, and soft matter physics,2004(6 Pt.1):1604-1-1604-22-0. |
[39] | Ralnirez J C;Beckermann C .Examination of binary alloy free dendritic growth theories with a phase-field model[J].Acta Materials,2005,53:1721. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%