Home Technology The interrelated effect of activation energy and grain boundary energy on grain growth in nanocrystalline materials
Article
Licensed
Unlicensed Requires Authentication

The interrelated effect of activation energy and grain boundary energy on grain growth in nanocrystalline materials

  • Z. Chen , F. Liu , X. Q. Yang , Y. Z. Chen , C. I. Yang , G. C. Yang and Y. H. Zhou
Published/Copyright: October 16, 2013
Become an author with De Gruyter Brill
Submit Manuscript Author Information
International Journal of Materials Research
From the journal International Journal of Materials Research Volume 104 Issue 9

Abstract

The interrelated effect of activation energy and grain boundary energy on grain growth and thermal stabilization in nanocrystalline materials was investigated. Departing from Borisov's equation and Kirchheim's grain boundary energy model, an activation energy model was derived incorporating solute segregation and grain growth. An integrated thermokinetic model for nanoscale grain growth was then developed by incorporating the coupled effects of activation energy and grain boundary energy. By application of the model to nanoscale grain growth of dense nanocrystalline gadolinia-doped ceria, a good agreement between the model predictions and the experimental results was obtained. It is shown that the interrelated effect of increased activation energy and decreased grain boundary energy induced thermal stability in the nanocrystalline materials.

Keywords:: Grain growth; Grain boundary energy; Activation energy; Solute segregation
* Correspondence address, Associate Professor Z. Chen, State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an Shaanxi, China, Tel.: +086-0516-83897715, Fax: +086-0516-83591870, E-Mail:

References

[1] M.Hillert: Acta Metall.13 (1965) 227. 10.1016/0001-6160(65)90200-2Search in Google Scholar

[2] J.Weissmüller: Nanostructured Mater.3 (1993) 261. 10.1016/0965-9773(93)90088-SSearch in Google Scholar

[3] A.J.Detor, C.A.Schuh: Acta Mater.55 (2007) 371. 10.1016/j.actamat.2006.08.032Search in Google Scholar

[4] K.A.Darling, R.N.Chan, P.Z.Wong, J.E.Semones, R.O.Scattergood, C.C.Koch: Scripta Mater.59 (2008) 530. 10.1016/j.scriptamat.2008.04.045Search in Google Scholar

[5] J.E.Burke, D.Turnbull: Prog. Metal. Phys.3 (1952) 220. 10.1016/0502-8205(52)90009-9Search in Google Scholar

[6] C.E.Krill, H.Ehrhardt, R.Birringer: Z. Metallkd.96 (2005) 1134.Search in Google Scholar

[7] M.I.Mendelev, D.J.Srolovitz: Acta Mater.49 (2001) 589. 10.1016/S1359-6454(00)00358-XSearch in Google Scholar

[8] J.E.Burke: Trans. Metall. Soc. AIME.175 (1949) 73.Search in Google Scholar

[9] Y.Kuru, M.Wohlschlögel, U.Welzel, E.J.Mittemeijer: Appl. Phys. Lett.95 (2009) 163112, 1. 10.1063/1.3248070Search in Google Scholar

[10] A.Michels, C.E.Krill, H.Ehrhardt, R.Birringer, D.T.Wu: Acta Mater.47 (1999) 2143. 10.1016/S1359-6454(99)00079-8Search in Google Scholar

[11] E.Rabkin: Scripta Mater.42 (2000) 1199. 10.1016/S1359-6462(00)00359-6Search in Google Scholar

[12] J.W.Cahn: Acta Metall.10 (1962) 789. 10.1016/0001-6160(62)90092-5Search in Google Scholar

[13] Z.Chen, F.Liu, H.F.Wang, W.Yang, G.C.Yang, Y.H.Zhou: Acta Mater.57 (5) (2009) 1466. 10.1016/j.actamat.2008.11.025Search in Google Scholar

[14] M.M.Gong, F.Liu, K.Zhang: Scripta. Mater.63 (2010) 989. 10.1016/j.scriptamat.2010.07.030Search in Google Scholar

[15] V.T.Borisov, V.M.Golikov, G.V.Scherbedinskiy: Fiz. Metal. Metall.17 (1964) 80.Search in Google Scholar

[16] T.R.Malow, C.C.Koch: Acta Mater.45 (1997) 2177. 10.1016/S1359-6454(96)00300-XSearch in Google Scholar

[17] K.W.Liu, F.Mücklich: Acta Mater.49 (2001) 395. 10.1016/S1359-6454(00)00330-XSearch in Google Scholar

[18] K.Isonishi, K.Okazaki: J. Mater. Sci.28 (1993) 3829. 10.1007/BF00353186Search in Google Scholar

[19] S.Kawanishi, K.Isonishi, K.Okazaki: Mater. Trans. JIM.34 (1993) 49.Search in Google Scholar

[20] D.A.Molodov, U.Czubayko, G.Gottstein, L.S.Shvindlerman: Acta Mater.46 (1998) 553. 10.1016/S1359-6454(97)00277-2Search in Google Scholar

[21] 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, Longmans, Green and Co, New York (1928) 55–354.Search in Google Scholar

[22] R.Kirchheim: Acta Mater.50 (2002) 413. 10.1016/S1359-6454(01)00338-XSearch in Google Scholar

[23] F.Liu, R.Kirchheim: J. Cryst. Growth264 (2004) 385. 10.1016/j.jcrysgro.2003.12.021Search in Google Scholar

[24] Z.Chen, F.Liu, X.Q.Yang, C.J.Shen: Acta Mater.60 (2012) 4833. 10.1016/j.actamat.2011.09.010Search in Google Scholar

[25] Z.Chen, F.Liu, X.Q.Yang, C.J.Shen, Y.Fan: J. Alloys Compd.509 (2011) 7109. 10.1016/j.jallcom.2010.08.130Search in Google Scholar

[26] J.L.M.Rupp, A.Infortuna, L.J.Gauckler: Acta Mater.54 (2006) 1721. 10.1016/j.actamat.2005.11.032Search in Google Scholar

[27] Z.Chen, F.Liu, W.Yang, H.F.Wang, G.C.Yang, Y.H.Zhou: J. Alloy Compd.475 (2009) 893. 10.1016/j.jallcom.2008.07.052Search in Google Scholar

[28] L.C.Chen, K. L.Lou, B. P.Bewlay. In proceedings of 3rd International Conference on P/M in Aerospace, Defense and Demanding Applications (1993) 111.Search in Google Scholar

[29] S.I.Vooijs, Y.V.Leeuwen, J.Sietsma, S.V.D.Zwaag: Metall. Trans. A31 (2000) 379. 10.1007/s11661-000-0274-0Search in Google Scholar

[30] E.Jud, C.B.Huwiler, L.J.Gauckler: J. Am. Ceram. Soc.88 (11) (2005) 3013. 10.1111/j.1551-2916.2005.00567.xSearch in Google Scholar

[31] B.K.VanLeeuwen, K.A.Darling; C.C.Koch, R.O.Scattergood, B.G.Butler: Acta Mater.58 (2010) 4292. 10.1016/j.actamat.2010.04.023Search in Google Scholar

[32] T.Suzuki, I.Kosacki, H.U.Anderson: Solid State Ionics151 (2002) 111. 10.1016/S0167-2738(02)00358-2Search in Google Scholar

[33] K.Lücke, K.Detert: Acta Metall.5 (1957) 628. 10.1016/0001-6160(57)90109-8Search in Google Scholar

[34] A.J.Detor, C.A.Schuh: J. Mater. Res.22 (11) (2007) 3233. 10.1557/JMR.2007.0403Search in Google Scholar

[35] F.Ernst, M.W.Finnis, A.Koch, C.Schmidt, B.Straumal, W.Gust: Z. Metallkd.87 (1996) 911.Search in Google Scholar

[36] C.E.Krill, H.Ehrhardt, R.Birringer: in: E.Ma, B.Fultz, R.Shull. J.Morral, P.Nash (Eds.), Chemistry and physics of nanostructures and related non-equilibrium materials. The Minerals, Metals & Materials Society, Warrendale, PA (1997) 115.Search in Google Scholar

[37] T.Surholt, C.H.R.Herzig: Acta Mater.45 (9) (1997) 3817. 10.1016/S1359-6454(97)00037-2Search in Google Scholar

Received: 2012-10-24
Accepted: 2013-2-26
Published Online: 2013-10-16
Published in Print: 2013-09-12

© 2013, Carl Hanser Verlag, München

Articles in the same Issue

  1. Contents
  2. Contents
  3. Original Contributions
  4. The interrelated effect of activation energy and grain boundary energy on grain growth in nanocrystalline materials
  5. Microstructural evolution of as-rolled modified 9Cr-1Mo steel during friction stir welding
  6. Effect of milling duration on the evolution of shape memory properties in a powder processed Cu–Al–Ni–Ti alloy
  7. Experimental investigation of phase equilibria in the Co–Cr–W ternary system
  8. Phase equilibria of the Zn–Al–Ti system at 370°C in the Zn-rich region
  9. Enthalpies of mixing in liquid alloys of iron with the lanthanides
  10. Ab-initio studies of some rare-earth borides: CeB2, PrB2, NdB2, and PmB2
  11. Influence of different contents of Si and Cu on the solidification pathways of cast hypoeutectic Al-(5–9)Si-(1–4)Cu (wt.%) alloys
  12. Undercooling of Sn–Ag–Cu alloys: solder balls and solder joints solidification
  13. Nitrogen deficiency and metal dopant induced sub-stoichiometry in titanium nitride thin films: a comparative study
  14. The influence of AlCrN coating on the high-temperature corrosion resistance of Ti-46Al-7Nb alloy in an atmosphere containing 9%O2 + 0.2%HCl + 0.08%SO2 + N2
  15. PEMFC membrane electrode assembly degradation study based on its mechanical properties
  16. Effect of epoxy resin properties on the mechanical properties of carbon fiber/epoxy resin composites
  17. Microstructural aspects of ceramic hollow microspheres reinforced metal matrix composites
  18. Copper/bamboo fabric composite prepared via a silver catalytic electroless deposition process for electromagnetic shielding
  19. People
  20. Dr. Herbert Karl Schmid
  21. Ludwig Gauckler
  22. DGM News
  23. DGM News
https://doi.org/10.3139/146.110931
Keywords for this article
Grain growth; Grain boundary energy; Activation energy; Solute segregation

Articles in the same Issue

  1. Contents
  2. Contents
  3. Original Contributions
  4. The interrelated effect of activation energy and grain boundary energy on grain growth in nanocrystalline materials
  5. Microstructural evolution of as-rolled modified 9Cr-1Mo steel during friction stir welding
  6. Effect of milling duration on the evolution of shape memory properties in a powder processed Cu–Al–Ni–Ti alloy
  7. Experimental investigation of phase equilibria in the Co–Cr–W ternary system
  8. Phase equilibria of the Zn–Al–Ti system at 370°C in the Zn-rich region
  9. Enthalpies of mixing in liquid alloys of iron with the lanthanides
  10. Ab-initio studies of some rare-earth borides: CeB2, PrB2, NdB2, and PmB2
  11. Influence of different contents of Si and Cu on the solidification pathways of cast hypoeutectic Al-(5–9)Si-(1–4)Cu (wt.%) alloys
  12. Undercooling of Sn–Ag–Cu alloys: solder balls and solder joints solidification
  13. Nitrogen deficiency and metal dopant induced sub-stoichiometry in titanium nitride thin films: a comparative study
  14. The influence of AlCrN coating on the high-temperature corrosion resistance of Ti-46Al-7Nb alloy in an atmosphere containing 9%O2 + 0.2%HCl + 0.08%SO2 + N2
  15. PEMFC membrane electrode assembly degradation study based on its mechanical properties
  16. Effect of epoxy resin properties on the mechanical properties of carbon fiber/epoxy resin composites
  17. Microstructural aspects of ceramic hollow microspheres reinforced metal matrix composites
  18. Copper/bamboo fabric composite prepared via a silver catalytic electroless deposition process for electromagnetic shielding
  19. People
  20. Dr. Herbert Karl Schmid
  21. Ludwig Gauckler
  22. DGM News
  23. DGM News
Sign up now to receive a 20% welcome discount
Institutional Access
How does access work?
Have an idea on how to improve our website?
Please write us.
© 2026 De Gruyter Brill
Downloaded on 23.2.2026 from https://www.degruyterbrill.com/document/doi/10.3139/146.110931/html
Scroll to top button