Misorientation dependent thermal condition-solute field cooperative effect on competitive grain growth in the converging case during directional solidification of a nickel-base superalloy

doi:10.1016/j.jmst.2021.02.030

J. Mater. Sci. Technol. ›› 2022, Vol. 96: 151-159.DOI: 10.1016/j.jmst.2021.02.030

• Research Article • Previous Articles Next Articles

Misorientation dependent thermal condition-solute field cooperative effect on competitive grain growth in the converging case during directional solidification of a nickel-base superalloy

X.B. Meng^a^,^*(), J.G. Li^b^,^*(), C.N. Jing^c^,^*(), J.D. Liu^b, S.Y. Ma^b, J.J. Liang^b, C.W. Zhang^b, M. Wang^b, B.T. Tang^a^,^*(), T. Lin^c, J.L. Chen^d, X.L. Zhang^e, Q. Li^f^,^*()

^aSchool of Mechanical and Automotive Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
^bInstitute of Metal Research, Chinese Academy of Sciences, Shenyang, 110016, China
^cSchool of Materials Science and Engineering, Shandong Jianzhu University, Jinan 250014, China
^dAECC Shenyang Liming Aero-Engine Co., LTD., Shenyang, 110043, China
^eCollege of Material Science and Engineering, North Minzu University, Yinchuan 750021, China
^fFaculty of electro-mechanical information, Weifang University of Science and Technology, Shouguang, 262700, China

Received:2020-09-09 Revised:2021-01-07 Accepted:2021-02-03 Published:2022-01-10 Online:2022-01-05
Contact: X.B. Meng,J.G. Li,C.N. Jing,B.T. Tang,Q. Li
About author:q.li@wfust.edu.cn (Q. Li).
tbtsh@hotmail.com (B.T. Tang),
jcn@sdjzu.edu.cn (C.N. Jing),
jgli@imr.ac.cn (J.G. Li),
*E-mail addresses: mengxiangbin84@163.com (X.B. Meng),

Abstract

Abstract:

Nowadays, thermal condition and solute field are considered as the potential dominant factors controlling competitive grain growth during directional solidification process. However, the controlling modes and critical conditions of competitive grain growth have been drastically debated over the past two decades. In this work, thermal condition and solute field are combined to study the competitive grain growth in the converging case by experimental observation and numerical simulation of bicrystal samples. We find the competitive grain growth is controlled by the cooperative effect of thermal condition and solute field, and the controlling modes are related to the bicrystal misorientation between favorably and unfavorably oriented grains. When the unfavorably oriented grain is low misoriented, unfavorably oriented grain dominates grain selection, and the competitive grain growth performs as solute field domination. However, with the increase of unfavorably oriented grain's misorientation, the grain selection converts into favorably oriented grain domination, and the competitive grain growth changes to thermal condition domination. To explain these abnormal transformation phenomena, we propose a misorientation dependent thermal condition-solute field cooperative domination model and identify the critical conditions by a critical misorientation (θ_cm). According to dynamic equation of dendrite growth, we calculate the critical misorientation θ_cm to prove this model. The theoretical calculation results agree well with the experimental results.

Key words: Competitive grain growth, Cooperative effect, Thermal condition, Solute field, Critical misorientation, Unusual overgrowth, Abnormal transformation

X.B. Meng, J.G. Li, C.N. Jing, J.D. Liu, S.Y. Ma, J.J. Liang, C.W. Zhang, M. Wang, B.T. Tang, T. Lin, J.L. Chen, X.L. Zhang, Q. Li. Misorientation dependent thermal condition-solute field cooperative effect on competitive grain growth in the converging case during directional solidification of a nickel-base superalloy[J]. J. Mater. Sci. Technol., 2022, 96: 151-159.

Figures/Tables 10

Table 1 Orientation characterization of the BC samples.

Case	θ_A (°)	θ_B (°)	Seed disposition	Withdrawal rate (mm/min)	State
1	0	5-45	Converging	1	Experiment
2	0	10-45	Converging	6	Experiment

Fig. 1. Schematic diagram showing the arrangement and orientation of BC samples.

Fig. 2. Evolution of GB misorientation on the vertical section of BC samples in the converging case at the withdrawal rate of 1 mm/min: (a) 0°/15°, (b) 0°/25°, (c) 0/35°, (d) 0°/45°

Fig. 3. Evolution of GB misorientation on the vertical section of BC samples in the converging case at the withdrawal rate of 6 mm/min: (a) 0°/10°, (b) 0°/15°, (c) 0/20°, (d) 0°/25°

Fig. 4. Evolution of GB microstructure on the vertical section and cross section of BC samples in the converging case at the withdrawal rate of 1 mm/min: (a) 0°/10°, (b) 0°/20°, (c) 0°/30°, (d) 0°/40°

Fig. 5. Evolution of GB microstructure on the vertical section and cross section of BC samples in the converging case at the withdrawal rate of 6 mm/min: (a) 0°/10°, (b) 0°/20°, (c) 0°/30°, (d) 0°/40°

Fig. 6. Relation curve between GB misorientation and the UO grain B’s misorientation in the converging case at different withdrawal rates of 1/3/6/12 mm/min.

Fig. 7. Schematic illustration of the grain selection in the converging case. (a) vertical section and (b) cross section of SF domination; (c) vertical section and (d) cross section of TC-SF cooperative domination; (e) vertical section and (f) cross section of TC domination.

Table 2 The primary spacing and thermal gradient at different withdrawal rates.

Case	Withdrawal rate (mm/min)	Primary dendritic spacing (μm)	Thermal gradient (K/mm)
1	0.5	320	9
2	1	400	8
3	2	320	7
4	3	300	6
5	6	270	5
6	12	280	4

Fig. 8. The relation curve of critical misorientation (θcm) at different withdrawal rates.

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Misorientation dependent thermal condition-solute field cooperative effect on competitive grain growth in the converging case during directional solidification of a nickel-base superalloy

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[2]	Xiangbin Meng, Qi Lu, Jinguo Li, Tao Jin, Xiaofeng Sun, Jun Zhang, Zhongqiang Chen, Yanhui Wang, Zhuangqi Hu. Modes of Grain Selection in Spiral Selector during Directional Solidification of Nickel-base Superalloys [J]. J Mater Sci Technol, 2012, 28(3): 214-220.