Abstract
The grain growth and thermodynamic stability induced by solute co-segregation in ternary alloys are presented. Grain growth behavior of the single-phase supersaturated grains prepared in Ni–Fe–Pb alloy melt at different undercoolings was investigated by performing isothermal annealings at T = 400 °C–800 °C. Combining the multicomponent Gibbs adsorption equation and Guttmann's grain boundary segregation model, an empirical relation for isothermal grain growth was derived. By application of the model to grain growth in Ni–Fe–Pb, Fe–Cr–Zr and Fe–Ni–Zr alloys, it was predicted that driving grain boundary energy to zero is possible in alloys due to the co-segregation induced by the interactive effect between the solutes Fe/Pb, Zr/Ni and Zr/Cr. A non-linear relationship rather than a simple linear relation between 1/D* (D* the metastable equilibrium grain size) and ln(T) was predicted due to the interactive effect.
References
[1] T.Chookajorn, H.A.Murdoch, C.A.Schuh: Science337 (2012) 951. PMid:22923577; 10.1126/science.1224737Search in Google Scholar
[2] Y.Q.Wang, Y.Guo, Z.M.Wang, Y.L.Wu: Sci. Eng. Comp. Mater.21 (2014) 471. 10.1515/secm-2013-0051Search in Google Scholar
[3] J.W.Cahn: Acta Metall.10 (1962) 789. 10.1016/0001-6160(62)90092-5Search in Google Scholar
[4] J.E.Burke, D.Turnbull: Prog. Met. Phys.3 (1952) 220. 10.1016/0502-8205(52)90009-9Search in Google Scholar
[5] J.Weissmüller: Nanostructured Mater.3 (1993) 261. 10.1016/0965-9773(93)90088-SSearch in Google Scholar
[6] C.E.Krill, H.Ehrhardt, R.Birringer: Z. Metallkd.96 (2005) 1134. 10.3139/146.110931Search in Google Scholar
[7] R.Kirchheim: Acta Mater.50 (2002) 413. 10.1016/S1359-6454(01)00338-XSearch in Google Scholar
[8] J.R.Trelewicz, C.A.Schuh: Phys. Rev. B79 (2009) 094112. 10.1103/PhysRevB.79.094112Search in Google Scholar
[9] M.Guttmann: Surf. Sci.53 (1975) 213. 10.1016/0039-6028(75)90125-9Search in Google Scholar
[10] T.D.Xu, B.Y.Cheng: Prog. Mater. Sci.49 (2004) 109. 10.1016/S0079-6425(03)00019-7Search in Google Scholar
[11] D.Roy, B.V.Mahesh, M.A.Atwater, T.E.Chan, R.O.Scattergood, C.C.Koch: Mater. Sci. Eng. A598 (2014) 217. 10.1016/j.msea.2013.11.075Search in Google Scholar
[12] M.Saber, H.Kotan, C.C.Koch, R.O.Scattergood: Mater. Sci. Eng. A556 (2012) 664. 10.1016/j.msea.2012.07.045Search in Google Scholar
[13] H.Kotan, K.A.Darling, M.Saber, C.C.Koch, R.O.Scattergood: J. Alloys Compd.551 (2013) 621. 10.1016/j.jallcom.2012.10.179Search in Google Scholar
[14] S.Dey, C.H.Chang, M.Gong, F.Liu, R.H.R.Castro: J. Mater. Res.30 (2015) 2991. 10.1557/jmr.2015.269Search in Google Scholar
[15] Z.Chen, Y.Y.Tang, Q.Tao, Q.Chen, T.Liang: J. Alloys Compd.662 (2016) 628. 10.1016/j.jallcom.2015.11.202Search in Google Scholar
[16] J.W.Gibbs: Trans. Conn. Acad. III108 (1876); J.W. Gibbs: Trans. Conn. Acad. III 343 (1878); J.W. Gibbs: The Collected Works of J.W. Gibbs vol. 1, H.A. Bumstead (Ed.), Longmans, Green and Co, New York (1928) 55–354.Search in Google Scholar
[17] Z.Chen, F.Liu, X.Q.Yang, C.J.Shen: Acta Mater.60 (2012) 4833. 10.1016/j.actamat.2012.05.029Search in Google Scholar
[18] F.Liu, R.Kirchheim: J. Cryst. Growth.264 (2004) 385. 10.1016/j.jcrysgro.2003.12.021Search in Google Scholar
[19] F.Liu, G.C.Yang: Int. Mater. Rev.51 (2006) 145. 10.1179/174328006X102484Search in Google Scholar
[20] R.Willnecker, D.M.Herlach, B.Feuerbacher: Phys. Rev. Lett.62 (1989) 2707. PMid:10040067; 10.1103/PhysRevLett.62.2707Search in Google Scholar
[21] K.Eckler, A.F.Norman, F.Gärtner, A.L.Greer, D.M.Herlach: J. Cryst. Growth173 (1997) 528. 10.1016/S0022-0248(96)01066-4Search in Google Scholar
[22] Z.Chen, F.Liu, X.Yang, C.J.Shen, Y.Fan: J. Alloys Compd.509 (2011) 7109. 10.1016/j.jallcom.2011.04.014Search in Google Scholar
[23] E.C.Brandes: Smithells Metals Reference Book. E.A.Brandes, G.B.Brook (Eds.), 6th Ed., Butterworth, London (1983) 14.7–14.11.Search in Google Scholar
[24] Z.Chen, F.Liu, X.Q.Yang, C.J.Shen, Y.M.Zhao: J. Alloys Compd.608 (2014) 338. 10.1016/j.jallcom.2014.04.137Search in Google Scholar
[25] T.Hentschel, D.Isheim, R.Kirchheim, F.Müller, H.Kreye: Acta Mater.48 (2000) 933. 10.1016/S1359-6454(99)00371-7Search in Google Scholar
[26] S.C.Mehta, D.A.Smith, U.Erb: Mater. Sci. Eng. A204 (1995) 227. 10.1016/0921-5093(95)09966-2Search in Google Scholar
[27] M.A.Gülgün, R.Voitovych, I.McLaren, M.Rühle: Interface Sci.40 (2002) 99. 10.1023/A:1015268232315Search in Google Scholar
[28] C.C.Koch, R.O.Scattergood, H.Kotan, M.Saber: Mater. Sci. Forum753 (2013) 341. 10.4028/www.scientific.net/MSF.753.341Search in Google Scholar
[29] M.Saber, H.Kotan, C.C.Koch, R.O.Scattergood: J. App. Phys.114 (2013) 103510. 10.1063/1.4821040Search in Google Scholar
[30] K.A.Darling, R.N.Chan, P.Z.Wong, J.E.Semones, R.O.Scattergood, C.C.Koch: Scr. Mater.59 (2008) 530. 10.1016/j.scriptamat.2008.04.045Search in Google Scholar
© 2017, Carl Hanser Verlag, München
This work is licensed under the Creative Commons Attribution 4.0 International License.
