Hostname: page-component-8448b6f56d-jr42d Total loading time: 0 Render date: 2024-04-19T11:23:05.350Z Has data issue: false hasContentIssue false
  • English
  • Français

Primary dendrite distribution in directionally solidified Sn–36 at.% Ni peritectic alloy

Published online by Cambridge University Press:  28 November 2012

Peng Peng ,
Xinzhong Li ,
Yanqing Su ,
Dongmei Liu ,
Jingjie Guo  and
Hengzhi Fu
Peng Peng
Affiliation:
Department of Materials Engineering, School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, People’s Republic of China
Xinzhong Li*
Affiliation:
Department of Materials Engineering, School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, People’s Republic of China
Yanqing Su
Affiliation:
Department of Materials Engineering, School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, People’s Republic of China
Dongmei Liu
Affiliation:
Department of Materials Engineering, School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, People’s Republic of China
Jingjie Guo
Affiliation:
Department of Materials Engineering, School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, People’s Republic of China
Hengzhi Fu
Affiliation:
Department of Materials Engineering, School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, People’s Republic of China
*
a)Address all correspondence to this author. e-mail: hitlxz@126.com
Get access

Abstract

The primary dendrite arm spacing and its distribution at the solid–liquid interface has been examined in directionally solidified Sn–36 at.% Ni peritectic alloys under constant temperature gradient in a range of growth rates (2–200 μm/s). Statistical analysis of the primary dendrite arm spacing on transverse sections has been carried out using the minimum spanning tree and Voronoi polygon. The frequency distribution of the number of nearest neighbors determined by the Voronoi polygon suggested that the arrangement of dendrites at the solid–liquid interface could be visualized as hexagonal tessellation. The primary dendrite arm spacing determined by the conventional area counting method and minimum spanning tree all decreased with increasing growth rate, and a range of primary dendrite spacing was present during solidification. The range first increased with increasing growth rate, but when the growth rate exceeded 20 μm/s, it turned to decrease, which can be attributed to disorder induced by growth rate and interdendritic convection.

Keywords

Sn-Ni alloydirectional solidificationprimary dendrite arm spacingminimal spanning tree
Type
Articles
Information
Journal of Materials Research , Volume 28 , Issue 5 , 14 March 2013 , pp. 740 - 746
Copyright
Copyright © Materials Research Society 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Tewari, S.N., Weng, Y.H., Ding, G.L., and Trivedi, R.: Cellular array morphology during directional solidification. Metall. Mater. Trans. A 33, 1229 (2002).CrossRefGoogle Scholar
O’Dell, S.P., Ding, G.L., and Tewari, S.N.: Cell/dendrite distribution in directionally solidified hypoeutectic Pb-Sb alloys. Metall. Mater. Trans. A 30, 2159 (1999).CrossRefGoogle Scholar
Billia, B., Jamgotchian, H., and Nguyen Thi, H.: Statistical analysis of the disorder of two-dimensional cellular arrays in directional solidification. Metall. Mater. Trans. A 22, 3041 (1991).CrossRefGoogle Scholar
Noel, N., Jamgotchian, H., and Billia, B.: In situ and real-time observation of the formation and dynamics of a cellular interface in a succinonitrile-0.5wt% acetone alloy directionally solidified in a cylinder. J. Cryst. Growth 181, 117 (1997).CrossRefGoogle Scholar
Sturz, L. and Zimmermann, G.: Investigations on transient directional solidification under microgravity on sounding rocket missions. Microgravity Sci. Technol. 18, 160 (2005).CrossRefGoogle Scholar
Kauerauf, B., Zimmermann, G., Rex, S., Mathes, M., and Grote, F.: Directional cellular growth of succinonitrile-0.075wt% acetone bulk samples Part 1: Results of space experiments. J. Cryst. Growth 223, 265 (2001).CrossRefGoogle Scholar
Kauerauf, B., Zimmermann, G., Rexa, S., Billia, B., Jamgotchian, H., and Hunt, J.D.: Directional cellular growth of succinonitrile-0.075 wt% acetone bulk samples Part 2: Analysis of cellular pattern. J. Cryst. Growth 223, 277 (2001).CrossRefGoogle Scholar
Sturz, L., Diepers, H.J., Zimmermann, G., and Rex, S.: Directional solidification of cellular arrays in transparent alloys. Microgravity Sci. Technol. 16, 116 (2005).CrossRefGoogle Scholar
Su, Y.Q., Luo, L.S., Guo, J.J., Li, X.Z., and Fu, H.Z.: Spacing selection of cellular peritectic coupled growth during directional solidification of Fe–Ni peritectic alloys. J. Alloys Compd. 474, L14 (2009).CrossRefGoogle Scholar
Luo, L.S., Su, Y.Q., Li, X.Z., Guo, J.J., Yang, H.M., and Fu, H.Z.: Producing well aligned in situ composites in peritectic systems by directional solidification. Appl. Phys. Lett. 92, 061903 (2008).CrossRefGoogle Scholar
Vandyoussefi, M., Kerr, H.W., and Kurz, W.: Two-phase growth in peritectic Fe-Ni alloys. Acta Mater. 48, 2297 (2000).CrossRefGoogle Scholar
Hu, X.W., Yan, H., Chen, W.J., Li, S.M., and Fu, H.Z.: Effect of sample diameter on primary and secondary dendrite arm spacings during directional solidification of Pb-26wt.%Bi hypo-peritectic alloy. Rare Met. 30, 424 (2011).CrossRefGoogle Scholar
Ma, D., Xu, W., Ng, S.C., and Li, Y.: On secondary dendrite arm coarsening in peritectic solidification. Mater. Sci. Eng., A 390, 52 (2005).CrossRefGoogle Scholar
Zhong, H., Li, S.M., Liu, L., Lü, H.Y., Zou, G.R., and Fu, H.Z.: Secondary dendrite arm coarsening and peritectic reaction in NdFeB alloys. J. Cryst. Growth 311, 420 (2009).CrossRefGoogle Scholar
Biswas, K., Hermann, R., Wendrock, H., Priede, J., Gerbeth, G., and Buechner, B.: Effect of melt convection on the secondary dendritic arm spacing in peritectic Nd-Fe-B alloy. J. Alloys Compd. 480, 295 (2009).CrossRefGoogle Scholar
Dussert, C., Rasigni, G., Rasigni, M., Palmer, J., and Llebaria, A.: Minimal spanning tree: A new approach to study order and disorder. Phys. Rev. B: Condens. Matter 34, 3528 (1986).CrossRefGoogle Scholar
Han, S.H. and Trivedi, R.: Primary spacing selection in directionally solidified alloys. Acta Mater. 42, 25 (1994).CrossRefGoogle Scholar
Pan, Q.Y., Huang, W.D., Lin, X., and Zhou, Y.H.: Primary spacing selection of Cu-Mn alloy under laser rapid solidification condition. J. Cryst. Growth 181, 109 (1997).CrossRefGoogle Scholar
Huang, W.D., Geng, X.G., and Zhou, Y.H.: Primary spacing selection of constrained dendritic growth. J. Cryst. Growth 134, 105 (1993).Google Scholar
Ding, G.L., Huang, W.D., Huang, X., Lin, X., and Zhou, Y.H.: On primary dendritic spacing during unidirectional solidification. Acta Mater. 44, 3705 (1996).CrossRefGoogle Scholar
Lu, S.Z. and Hunt, J.D.: A numerical analysis of dendritic and cellular array growth: The spacing adjustment mechanisms. J. Cryst. Growth 123, 17 (1992).CrossRefGoogle Scholar
Warren, J.A. and Langer, J.S.: Prediction of dendritic spacings in a directional-solidification experiment. Phys. Rev. E: Stat. Phys. Plasmas Fluids Relat. Interdisciplin. Top. 47, 2702 (1993).CrossRefGoogle Scholar
Kaya, H., Çadırlı, E., Keşlioğlu, K., and Maraşlı, N.: Dependency of the dendritic arm spacings and tip radius on the growth rate and composition in the directionally solidified succinonitrile-carbon tetrabromide alloys. J. Cryst. Growth 276, 583 (2005).CrossRefGoogle Scholar
Fan, J.L., Li, X.Z., Su, Y.Q., Guo, J.J., and Fu, H.Z.: Dependency of microhardness on solidification processing parameters and microstructure characteristics in the directionally solidified Ti-46Al-0.5W-0.5Si alloy. J. Alloys Compd. 504, 60 (2010).CrossRefGoogle Scholar
Schmetterer, C., Flandorfer, H., Richter, W.K., Saeed, U., Kauffman, M., Roussel, P., and Ipser, H.: A new investigation of the system Ni-Sn. Intermetallics 15, 869 (2007).CrossRefGoogle Scholar
Hui, J., Tiwari, R., Wu, X., Tewari, S.N., and Trivedi, R.: Primary dendrite distribution and disorder during directional solidification of Pb-Sb alloys. Metall. Mater. Trans. A 33, 3499 (2002).CrossRefGoogle Scholar
Prim, R.C.: Shortest connection networks and some generalizations. Bell Syst. Technol. J. 36, 1389 (1957).CrossRefGoogle Scholar
Schroeder, W., Martin, K., and Lorensen, B.: The Visualization Toolkit, 3rd ed., (Prentice-Hall PTR, Upper Saddle River, NJ, 1998).Google Scholar
Hunt, J.D. and Lu, S.Z.: Numerical modeling of cellular/dendritic array spacing and structure predictions. Metall. Mater. Trans. A 27, 611 (1996).CrossRefGoogle Scholar