Skip to main content

Modelling “Nano-Effects” in Sintering

  • Chapter
  • First Online:
Sintering

Part of the book series: Engineering Materials ((ENG.MAT.,volume 35))

Abstract

Materials at the nanoscale typically show distinct behavior from their microsized counter parts. This is not different in sintering, and this chapter collects some previous studies on nano effects on this important phenomenon. It is constantly argued by researchers that classical continuum sintering model requires re-examination in the context of nanosintering. A possible way of doing this is by incorporating multiple mechanisms which may cause nano effects into the modeling. In this chapter we introduce both analytical and computational approaches. Analytical method is used to provide a guidance and first insight into nanosintering. Various computational models are then constructed using techniques such as Finite Difference (FD), Finite Element (FE), and Molecular Dynamics (MD), in order to capture the coupled features.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Pan, J.: Philos. Mag. Lett. 84, 303–310 (2004)

    Article  CAS  Google Scholar 

  2. Herring, C.: The Physics of powder metallurgy. Kingston, W.E. (eds.) McGraw-Hill Book Company Inc., New York (1951)

    Google Scholar 

  3. Bouvard D., McMeeking, R.: J. Am. Ceram. Soc. 79, 666–672 (1996)

    Google Scholar 

  4. Suo, Z.: Adv. Appl. Mech. 33, 193–294 (1997)

    Article  Google Scholar 

  5. Pan, J., Cocks, A.C.F., Kucherenko, S.: Proc. R. Soc. Lond. A 453, 2161–2184 (1997)

    Article  Google Scholar 

  6. Cocks, A., Gill, S., Pan, J.: Adv. Appl. Mech. 36, 81–162 (1999)

    Article  Google Scholar 

  7. Coble, R.L.: J. Appl. Phys. 41, 4798–4807 (1970)

    Article  Google Scholar 

  8. Pan, J., Cocks, A.C.F.: Acta Mater. 42, 1223–1230 (1994)

    Article  CAS  Google Scholar 

  9. Pan, J., Cocks, A.C.F.: Acta Metall. Mater. 43, 1395–1406 (1995)

    Article  CAS  Google Scholar 

  10. Mcmeeking, R., Kuhn, L.: Acta Metall. Mater. 40, 961–969 (1992)

    Article  CAS  Google Scholar 

  11. Du, Z., Cocks, A.C.F.: Acta Metall. Mater. 40, 1969–1979 (1992)

    Article  CAS  Google Scholar 

  12. Cocks, A.C.F., Pan, J.: Mech. Mater. 18, 269–287 (1994)

    Article  Google Scholar 

  13. Cocks, A.C.F.: Mech. Mater. 13, 165–174 (1992)

    Article  Google Scholar 

  14. Bernard-Granger, G., Addad, A., Fantozzi, G., Bonnefont, G., Guizard, C., Vernat, D.: Acta Mater. 58, 3390–3399 (2010)

    Article  CAS  Google Scholar 

  15. Ding, L., Davidchack, R.L., Pan, J.: Comput. Mater. Sci. 45, 247–256 (2009)

    Article  CAS  Google Scholar 

  16. Rankin, J., Sheldon, B.W.: Mater. Sci. Eng. A A204, 48–53 (1995)

    CAS  Google Scholar 

  17. Pan, J., Le, H., Kucherenko, S., Yeomans, J.A.: Acta Metall. 46, 4671–4690 (1998)

    CAS  Google Scholar 

  18. Parhami, F., McMeeking, R.M., Cocks, A.C.F., Suo, Z.: Mech. Mater. 31, 43–61 (1999)

    Article  Google Scholar 

  19. Saitou, M.: Philos. Mag. Lett. 79, 257–263 (1999)

    Article  CAS  Google Scholar 

  20. Ch’ng, H.N., Pan, J.: Acta Mater. 55, 813–824 (2007)

    Google Scholar 

  21. Suryanarayana, C.: Inter. Mater. Rev. 40, 41–64 (1995)

    Article  CAS  Google Scholar 

  22. Mayo, M.J.: Inter. Mater. Rev. 41, 85–115 (1996)

    Article  CAS  Google Scholar 

  23. Johnson, K.L., Kendall, K., Roberts, A.D.: Surface energy and the contact of elastic solids. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 324, 301–313 (1971)

    Article  CAS  Google Scholar 

  24. Derjaguin, B.V., Muller, V.M., Toporov, Y.P.: J. Colloid Interface Sci. 53, 314–326 (1975)

    Article  CAS  Google Scholar 

  25. Tabor, D.: J. Colloid Interface Sci. 58, 2–13 (1977)

    Article  CAS  Google Scholar 

  26. Maugis, D.J.: J. Colloid Interface Sci. 150, 243–269 (1992)

    Article  CAS  Google Scholar 

  27. Li, F., Pan, J., Sinka, C.: J. Mech. Phys. Solids 57, 81194–81208 (2009)

    Google Scholar 

  28. Li, F., Pan, J., Sinka, C.: Mech. Mater. 43, 157–167 (2011)

    Article  Google Scholar 

  29. Slamovich, E.B., Lange, F.F.: J. Am. Ceram. Soc. 75, 2498–2508 (1992)

    Article  CAS  Google Scholar 

  30. Kingery, W.D., Francois, B.: The sintering of crystalline oxides. I. Interaction between grain boundaries and pores. In: Kuczynski, G.C., et al. (eds.) Sintering Related Phenomena, pp. 471–496. Gordon and Breach, New York (1967)

    Google Scholar 

  31. Kingery, W.D.: J. Appl. Phys. 30, 301–306 (1959)

    Article  CAS  Google Scholar 

  32. Flinn, B.D., Bordia, R.K., Zimmermann, A., Rodel, J.: J. Eur. Ceram. Soc. 20, 2561–2568 (2000)

    Article  CAS  Google Scholar 

  33. Pan, J., Ch’ng, H.N., Cocks, A.C.F.: Mech. Mater. 37, 705–721 (2005)

    Article  Google Scholar 

  34. Pan, J., Cocks, A.C.F., Rodel, J., Huang, R., and Ch’ng, H.N.: J. Am. Ceram. Soc. 92, 1414–1418 (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jingzhe Pan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Li, F., Pan, J. (2012). Modelling “Nano-Effects” in Sintering. In: Castro, R., van Benthem, K. (eds) Sintering. Engineering Materials, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31009-6_2

Download citation

Publish with us

Policies and ethics