Model and Analysis of Solute Microsegregation in Bainite Rail Steel During Continuous Casting Process

doi:10.11900/0412.1961.2022.00549

Acta Metall Sin

2024, Vol. 60

Issue (7): 990-1000 DOI: 10.11900/0412.1961.2022.00549

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Model and Analysis of Solute Microsegregation in Bainite Rail Steel During Continuous Casting Process

GAO Xinliang¹, BA Wenyue¹, ZHANG Zheng¹, XI Shiping², XU Dong³, YANG Zhinan¹(

), ZHANG Fucheng⁴

1 National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, Yanshan University, Qinhuangdao 066004, China
2 Luoyang Bearing Research Institute Co. Ltd., Luoyang 471039, China
3 Technology Innovation Center for High Quality Cold Heading Steel of Hebei Province, Hebei University of Engineering, Handan 056038, China
4 College of Metallurgy and Energy, North China University of Science and Technology, Tangshan 063210, China

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GAO Xinliang, BA Wenyue, ZHANG Zheng, XI Shiping, XU Dong, YANG Zhinan, ZHANG Fucheng. Model and Analysis of Solute Microsegregation in Bainite Rail Steel During Continuous Casting Process. Acta Metall Sin, 2024, 60(7): 990-1000.

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Abstract

With the rapid development of high-speed and heavy-haul railways, the reliability of railway track service performance is becoming increasingly important. Bainite rail steel is widely known for its excellent properties, but solute microsegregation during solidification of molten steel affects the quality of continuous casting bloom, which can damage bainite rail steel components during service. Therefore, studying solute microsegregation of bainite rail steel during the continuous casting process is necessary. Solute microsegregation in steel occurs when solute redistributes between solid and liquid phases during solidification of molten steel. The factors that influence solute microsegregation include the equilibrium distribution coefficient of solute elements at the solid-liquid interface, cooling rate, reverse diffusion strength of solute elements in the solid phase, and dendrite coarsening. Among them, the reverse diffusion strength of solute elements in the solid phase and dendrite coarsening are two important factors that cannot be ignored. In this study, a model of solute microsegregation is established, which takes into consideration both δ/γ phase transformation and dendrite coarsening during the solidification process of bainite rail steel. The effects of cooling rate and C, Mn, S, and P contents on interdendritic solute microsegregation, zero strength temperature (ZST), and zero ductility temperature (ZDT) of steel are analyzed. The results show that S and P are more likely to segregate between dendrites compared to other elements in bainite rail steel. The effect of cooling rate on the microsegregation of solute elements varies with solid fractions. When the solid fraction is 0.99, the segregations of Si, Mn, Cr, Ni, Mo, P, and S increase differently with the increase of cooling rate. C content mainly affects the solidification mode of steel, which then affects the segregation behavior of other elements during solidification. C content has a more significant effect on the microsegregation of S and P compared to other elements in bainite rail steel. In contrast, the contents of Mn, P, and, S have little effect on the microsegregation of other solute elements. The increase in C and Mn contents result in a decrease in ZST and ZDT. However, with an increase in cooling rate and S and P contents, ZST has little change, and ZDT decreases significantly.

Key words: bainite rail steel solidification microsegregation continuous casting

Received: 28 October 2022

ZTFLH:

TF777.2

Fund: National Key Research and Development Program of China(2021YFB3703500);National Natural Science Foundation of China(52122410);National Natural Science Foundation of China(51604241)

Corresponding Authors: YANG Zhinan, professor, Tel: 15033513870, E-mail: zhinanyang@ysu.edu.cn

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	GAO Xinliang
	BA Wenyue
	ZHANG Zheng
	XI Shiping
	XU Dong
	YANG Zhinan
	ZHANG Fucheng

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https://www.ams.org.cn/EN/10.11900/0412.1961.2022.00549 OR https://www.ams.org.cn/EN/Y2024/V60/I7/990

Element	$k i δ / L$	$D S, i δ /$ (10^-4 m²·s^-1)	$k i γ / L$	$D S, i γ /$ (10^-4 m²·s^-1)	m_i / (^oC·%^-1)
C	0.19	0.0127exp(-81382.6 / (RT))	0.34	0.076exp(-134563.8 / (RT))	78.0
Si	0.77	8.0exp(-248959.7 / (RT))	0.52	0.3exp(-251470.3 / (RT))	7.6
Mn	0.76	0.76exp(-224440.3 / (RT))	0.78	0.055exp(-249378.2 / (RT))	4.9
P	0.23	2.9exp(-230130.9 / (RT))	0.13	0.001exp(-182849.4 / (RT))	34.4
S	0.05	4.56exp(-214649.3 / (RT))	0.04	2.4exp(-223516.8 / (RT))	38.0
Cr	0.95	2.4exp(-239796.3 / (RT))	0.86	0.0012exp(-219000.9 / (RT))	1.0
Ni	0.83	1.6exp(-240005.6 / (RT))	0.95	0.34exp(-282391.5 / (RT))	4.7
Mo	0.80	3.47exp(-241386.3 / (RT))	0.59	0.068exp(-246867.6 / (RT))	2.6

Table 1 Equilibrium partition coefficients, diffusion coefficients, and slopes of liquidus of elements^[26]

Fig.1 Comparisons between calculated and measured^[30,31] results for P (a) and Mn (b) segregations (f_S—solid fraction, C_R—cooling rate, RMSE—root mean square error)

Fig.2 Comparisons between calculated and measured^[32-35] results for zero strength temperature (ZST) (a) and zero ductility temperature (ZDT) (b)

Fig.3 Changes of solid-liquid interface temperature (a) and segregation degree of solute elements (b) during solidification (Inset in Fig.3b shows the locally enlared curves)

Fig.4 Effects of C content on the microsegregation degree of C and Si (a), Mn and Cr (b), Ni and Mo (c), P and S (d) at different f_S

Fig.5 Effects of Mn content on the microsegregation degree of C and P (a), Mn and Cr (b), Ni and Mo (c), Si and S (d) at different f_S

Fig.6 Effects of S content on the microsegregation degree of C and P (a), Mn and Cr (b), Ni and Mo (c), Si and S (d) at different f_S

Fig.7 Effects of P content on the microsegregation degree of C and P (a), Mn and Cr (b), Ni and Mo (c), Si and S (d) at different f_S

Fig.8 Effects of cooling rate on the microsegregation degree of C and Si (a), Mn and Cr (b), Ni and Mo (c), P and S (d) at different f_S

Fig.9 Effects of C content (a), Mn content (b), S content (c), P content (d), and cooling rate (e) on solidification characteristic temperatures

1	Zhang F C, Yang Z N, Kang J. Research progress of bainitic steel used for railway crossing [J]. J. Yanshan Univ., 2013, 37: 1
	张福成, 杨志南, 康杰. 铁路辙叉用贝氏体钢研究进展 [J]. 燕山大学学报, 2013, 37: 1
2	Tan Z L, Gao B, Gao G H, et al. Current development situation of bainitic rails at home and abroad [J]. Heat Treat. Met., 2018, 43(4): 10
	谭谆礼, 高博, 高古辉等. 国内外贝氏体钢轨的研发现状 [J]. 金属热处理, 2018, 43(4): 10
3	Xu D M, Zhang C J, Si G J. Micro-/macro-scopic modeling of solutal mass transport in dendrite solidification with partial solid back diffusion [J]. Acta Metall. Sin., 1998, 34: 678
	徐达鸣, 张成军, 司广琚. 任意固相反扩散条件下枝晶凝固溶质传输微观/宏观模型化 [J]. 金属学报, 1998, 34: 678
4	Zhao G W, Ding C, Ye X C, et al. Influences of initial compositions, dendrite morphologies and solid-back diffusion on solidification path of Al-Si-Mg alloys [J]. J. Phase Equilib. Diffus., 2018, 39: 212
5	Feng K, Han Z W, Wang Y, et al. The microsegregation mathematical model for binary alloy based on coarsening and back-diffusion [J]. Foundry, 2006, 55: 699
	冯科, 韩志伟, 王勇等. 基于枝晶粗化和反向扩散的二元合金微观偏析数学模型 [J]. 铸造, 2006, 55: 699
6	He S Y, Zhan T J, Li C J, et al. Enhanced dendrite coarsening and microsegregation in Al-Cu alloy under a steady magnetic field [J]. Mater. Trans., 2019, 60: 1921
7	Zhang Q Y, Fang H, Xue H, et al. Interaction of local solidification and remelting during dendrite coarsening—Modeling and comparison with experiments [J]. Sci. Rep., 2017, 7: 17809
8	Hardin R A, Liu K, Beckermann C, et al. A transient simulation and dynamic spray cooling control model for continuous steel casting [J]. Metall. Mater. Trans., 2003, 34B: 297
9	Wang X Y, Liu Q, Wang B, et al. Optimal control of secondary cooling for medium thickness slab continuous casting [J]. Ironmaking Steelmaking, 2011, 38: 552
10	Han Z Q, Cai K K. Study on a mathematical model of microsegregation in continuously cast slab [J]. Acta Metall. Sin., 2000, 36: 869
	韩志强, 蔡开科. 连铸坯中微观偏析的模型研究 [J]. 金属学报, 2000, 36: 869
11	Kim K, Han H N, Yeo T J, et al. Analysis of surface and internal cracks in continuously cast beam blank [J]. Ironmaking Steelmaking, 1997, 24: 249
12	Kim K H, Yeo T J, Oh K H, et al. Effect of carbon and sulfur in continuously cast strand on longitudinal surface cracks [J]. ISIJ Int., 1996, 36: 284
13	Yamanaka A, Nakajima K, Okamura K. Critical strain for internal crack formation in continuous casting [J]. Ironmaking Steelmaking, 1995, 22: 508
14	Li Y G, Zhang F C, Chen C, et al. Effects of deformation on the microstructures and mechanical properties of carbide-free bainitic steel for railway crossing and its hydrogen embrittlement characteristics [J]. Mater. Sci. Eng., 2016, A651: 945
15	Wang Y H, Zhang F C, Wang T S. A novel bainitic steel comparable to maraging steel in mechanical properties [J]. Scr. Mater., 2013, 68: 763
16	Cao D, Kang J, Long X Y, et al. Research on heat treatment of bainitic steel crossing [J]. J. Mech. Eng., 2014, 50(4): 47
	曹栋, 康杰, 龙晓燕等. 贝氏体钢辙叉热处理工艺研究 [J]. 机械工程学报, 2014, 50(4): 47
17	Zhu M, Xu G, Zhou M X, et al. Effects of tempering on the microstructure and properties of a high-strength bainite rail steel with good toughness [J]. Metals, 2018, 8: 484
18	Zhu J, Yang J C, Chen Z Y, et al. Variation law of typical inclusions in bainitic steel production process [J]. Steelmaking, 2022, 38(3): 62
	朱君, 杨吉春, 谌智勇等. 贝氏体钢生产流程中典型夹杂物变化规律 [J]. 炼钢, 2022, 38(3): 62
19	Ren Q, Zhang Y X, Zhang L F, et al. Prediction on the spatial distribution of the composition of inclusions in a heavy rail steel continuous casting bloom [J]. J. Mater. Res. Technol., 2020, 9: 5648
20	Lee K M, Polycarpou A A. Microscale experimental and modeling wear studies of rail steels [J]. Wear, 2011, 271: 1174
21	Rojhirunsakool T, Thublaor T, Bidabadi M H S, et al. Corrosion behavior of multiphase bainitic rail steels [J]. Metals, 2022, 12: 694
22	Won Y M, Thomas B G. Simple model of microsegregation during solidification of steels [J]. Metall. Mater. Trans., 2001, 32A: 1755
23	Ohnaka I. Mathematical analysis of solute redistribution during solidification with diffusion in solid phase [J]. Trans. Iron Steel Inst. Jpn., 1986, 26: 1045
24	Clyne T W, Kurz W. Solute redistribution during solidification with rapid solid state diffusion [J]. Metall. Trans., 1981, 12A: 965
25	Voller V R, Beckermann C. A unified model of microsegregation and coarsening [J]. Metall. Mater. Trans., 1999, 30A: 2183
26	Xu Y B, Song S D. Study on solute microsegregation model inmushy zone during continuous casting [J]. Contin. Cast., 2015, 40(5): 67
	徐永斌, 宋胜德. 钢连铸过程中两相区溶质微观偏析模型研究 [J]. 连铸, 2015, 40(5): 67
27	Dou K, Qing J S, Wang L, et al. Research on internal crack susceptibility of continuous-casting bloom based on micro-segregation model [J]. Acta Metall. Sin., 2014, 50: 1505 doi: 10.11900/0412.1961.2014.00317
	窦坤, 卿家胜, 王雷等. 基于微观偏析模型的连铸方坯内裂纹敏感性研究 [J]. 金属学报, 2014, 50: 1505
28	Chen H B, Long M J, Chen D F, et al. Variation of equilibrium partition coefficient of solutes in steel 45 during solidification and phase transformation [J]. J. Iron Steel Res., 2017, 29: 637
	陈华标, 龙木军, 陈登福等. 45钢凝固相变过程中溶质平衡分配系数的变化 [J]. 钢铁研究学报, 2017, 29: 637 doi: 10.13228/j.boyuan.issn1001- 0963.20160299
29	Zhu L G, Liu Z, Han Y H. A microsegregation model in the two-phase region of an ND steel continuous casting billet [J]. Chin. J. Eng., 2019, 41: 461
	朱立光, 刘震, 韩毅华. ND钢连铸坯两相区内的微观偏析模型 [J]. 工程科学学报, 2019, 41: 461
30	Matsumiya T, Kajioka H, Mizoguchi S, et al. Mathematical analysis of segregations in continuously-cast slabs [J]. Trans. Iron Steel Inst. Jpn., 1984, 24: 873
31	Wintz M, Bobadilla M, Lehmann J, et al. Experimental study and modeling of the precipitation of non-metallic inclusions during solidification of steel [J]. ISIJ Int., 1995, 35: 715
32	Seol D J, Won Y M, Oh K H, et al. Mechanical behavior of carbon steels in the temperature range of mushy zone [J]. ISIJ Int., 2000, 40: 356
33	Schmidtmann E, Rakoski F. Influence of the carbon content of 0.015 to 1% and of the structure on the high-temperature strength and toughness behavior of structural steels after solidification from the melt [J]. Arch. Eisenhuttenwes, 1983, 54: 357
34	Adams C J. Hot ductility and strength of strand cast steels up to their melting points [C]. Open Hearth Proceedings [A]. New York: TMS-AIME, 1971, 54: 290
35	Bleck W, Dahl W, Picht G, et al. Chemistry effects on the crack susceptibility of structural steels during continuous casting [J]. Steel Res., 2001, 72: 496
36	Cai Z Z, Zhu M Y. Microsegregation of solute elements in solidifying mushy zone of steel and its effect on longitudinal surface cracks of continuous casting strand [J]. Acta Metall. Sin., 2009, 45: 949
	蔡兆镇, 朱苗勇. 钢凝固两相区溶质元素的微观偏析及其对连铸坯表面纵裂纹的影响 [J]. 金属学报, 2009, 45: 949
37	Cai Z Z, Zhu M Y. Influence of solute segregation on crack susceptibility at solidification front of continuous casting strand [J]. Foundry Technol., 2009, 30: 1396
	蔡兆镇, 朱苗勇. 溶质偏析对连铸坯凝固前沿裂纹敏感性影响的研究 [J]. 铸造技术, 2009, 30: 1396
38	Luo S, Zhu M Y, Ji C, et al. Solute microsegregation model for continuous casting process of steel [J]. Iron Steel, 2010, 45(6): 31
	罗森, 朱苗勇, 祭程等. 钢连铸过程的溶质微观偏析模型 [J]. 钢铁, 2010, 45(6): 31

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