Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-19T12:27:48.624Z Has data issue: false hasContentIssue false

Effect of thermodynamic interactions on the rapidsolidification kinetics of Ni-Cu-Co alloys

Published online by Cambridge University Press:  28 March 2014

Get access

Abstract

Most theoretical work on solidification focuses on dilute binary alloys, while thosecommonly used in industry are multi-component with high solute concentrations. Inconcentrated alloys, the diffusion of one component will be inevitably influenced by theothers, which will further affect the rapid solidification kinetics. Assuming localnon-equilibrium at the solid/liquid (S/L) interface and in the bulk liquid, the kineticsof planar interface migration and dendrite growth in strongly non-equilibriumsolidification of Ni-Cu-Co alloys is comparatively studied. It is found that, for planarinterface kinetics, the thermodynamic interactions lead to a non-monotonic tendency of thepartition coefficient of Co with a slightly lowered interface temperature. Meanwhile, fordendrite growth (i.e. curved interface), the curvature effect and the thermodynamicinteractions together result in the non-monotonic variation of partition coefficients. Dueto the lowered dendrite tip temperature as a result of the thermodynamic interactions,larger undercooling is needed for interface migration and the dendrite growth is sloweddown.

Type
Research Article
Copyright
© EDP Sciences 2014

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

W. Kurz, D.J. Fisher, Fundamentals of solidification, 4th edn. Trans Tech, Switzerland, Publications, 1998 Google Scholar
Herlach, D.M., Mater. Sci. Eng. Rep. R 12 (1994) 172 Google Scholar
Liu, F., Yang, G.C., Int. Mater. Rev. 51 (2006) 145 Google Scholar
Aziz, M.J., J. Appl. Phys. 53 (1982) 1158 Google Scholar
Aziz, M.J., Appl. Phys. Lett. 43 (1983) 552 Google Scholar
Aziz, M.J., Kaplan, T., Acta Metall. 36 (1988) 2335 Google Scholar
Ivantsov, G.P., Dokl Akad Nauk SSSR 58 (1947) 567Google ScholarGoogle Scholar
Langer, J.S., Müller-Krumbhaar, H., Acta Metall 26 (1978) 1681 Google Scholar
Langer, J.S., Rev. Mod. Phys. 52 (1980) 1 Google Scholar
Boettinger, W.J., Coriell, S.R., Greer, A.L., Karma, A., Kurz, W., Rappaz, M., Trivedi, R., Acta Mater 48 (2000) 43 Google Scholar
W.J. Boettinger, S.R. Coriell, R. Trivedi, in: R. Mehrabian, P.A. Parrish (eds.) Rapid solidification processing: principles and I.V. technologies, Baton Rouge (LA), Claitor’s, 1988. p. 13 Google Scholar
Eckler, K., Cochrane, R.F., Herlach, D.M., Feuerbacher, B., Phys. Rev. B 45 (1992) 5019 Google Scholar
Yang, Y., Humadi, H., Buta, D., Laird, B.B., Sun, D., Hoyt, J.J., Asta M. Phys. Rev. Lett. 107 (2011) 025505 Google Scholar
Sobolev, S.L., Phys. Lett. A 199 (1995) 383 Google Scholar
Galenko, P.K., Phys. Lett. A 190 (1994) 292 Google Scholar
Galenko, P.K., Sobolev, S.L., Phys. Rev. E 55 (1997) 343 Google Scholar
D. Jou, J. Casas-Vazquez, G. Lebon, Extended Irreversible Thermodynamics, 2nd edn. Springer, Germany, 1996 CrossRefGoogle Scholar
Galenko, P.K., Phys. Rev. E 76 (2007) 031606 Google Scholar
Galenko, P.K., Phys. Rev. B 65 (2002) 144103 Google Scholar
Galenko, P.K., Danilov, D.A., Phys. Lett. A 35 (1997) 271 Google Scholar
Galenko, P.K., Danilov, D.A., J. Cryst. Growth 197 (1999) 992 Google Scholar
Wang, H.F., Liu, F., Chen, Z., Yang, G.C., Zhou, Y.H., Acta Mater. 55 (2007) 497 Google Scholar
Wang, H.F., Liu, F., Chen, Z., Yang, W., Yang, G.C., Zhou, Y.H., Scr. Mater. 57 (2007) 413 Google Scholar
Ludwig, A., Physica D 124 (1998) 271 Google Scholar
Ludwig, A., Pustal, B., Herlach, D.M., Mater. Sci. Eng. A 318 (2001) 337 Google Scholar
Wang, K., Wang, H.F., Liu, F., Zhai, H.M., Acta Mater. 61 (2013) 1359 Google Scholar
Wang, K., Wang, H.F., Liu, F., Zhai, H.M., Acta Mater. 61 (2013) 4254 Google Scholar
Wang, K., Wang, H.F., Liu, F., Zhai, H.M., Acta Mater. 67 (2014) 220 Google Scholar
Svoboda, J., Fischer, F.D., Fratzl, P., Kroupa, A., Acta Mater. 50 (2002) 1369 Google Scholar
Svoboda, J., Turek, I., Fischer, F.D., Philos. Mag. 85 (2005) 3699 Google Scholar
Fischer, F.D., Simha, N.K., Acta Mech. 171 (2004) 213 Google Scholar
Hillert, M., Acta Mater. 47 (1999) 4481 Google Scholar
Wang, H.F., Liu, F., Zhai, H.M., Wang, K., Acta Mater. 60 (2012) 1444 Google Scholar
Li, S., Zhang, J., Wu, P., J. Cryst. Growth 312 (2010) 982 Google Scholar
Li, S., Zhang, J., Wu, P., Scr. Mater. 61 (2009) 485 Google Scholar
Galenko, P.K., Danilov, D.A., Phys. Rev. E 69 (2004) 051608 Google Scholar
Galenko, P.K., Danilov, D.A., Phys. Lett. A 272 (2000) 207 Google Scholar
Divenuti, A.G., Ando, T., Metall. Mater. Trans. A 29 (1998) 3047 Google Scholar
Bobadilla, M., Lacaze, J., Lesoult, G., J. Cryst. Growth. 89 (1988) 531 Google Scholar
Löser, W., Herlach, D.M., Metall. Trans. A 23 (1992) 1586 Google Scholar
Galenko, P.K., Reutzel, S., Herlach, D.M., Fries, S.G., Steinbach, I., Apel, M., Acta Mater. 57 (2009) 6166 Google Scholar