Skip to main content
SpringerLink
Log in

On equilibrium conditions at junctions of anisotropic interfaces

  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

The issue of mechanical equilibrium conditions at junctions of sharp anisotropic interfaces is addressed. The well known Herring conditions are valid for a given junction direction. It is shown that if a system of interface segments joint along a line is allowed to change line direction, some additional relations are applicable. They are derived using the Hoffman–Cahn formalism of capillarity vector. As an example proving significance of the additional relations, criteria for wetting of anisotropic boundaries are considered. If the direction of the triple line is fixed, the criteria are shown to be different from those known for isotropic interfaces.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. M. SAYLOR, A. MORAWIEC and G. S. ROHRER, Acta Mater. 51 (2003) 3675.

    Article  CAS  Google Scholar 

  2. C. HERRING, in “The Physics of Powder Metallurgy”, edited by W. E. Kingston, (McGraw-Hill, New York, 1951) p. 143.

    Google Scholar 

  3. C. S. SMITH, Trans. AIME 175 (1948) 15.

    Google Scholar 

  4. D. W. HOFFMAN and J. W. CAHN, Surf. Sci. 31 (1972) 365.

    Article  Google Scholar 

  5. J. DE CONINCK, P. DE GOTTAL and F. MENU, J. Stat. Phys. 56 (1989) 23.

    Article  MathSciNet  ADS  Google Scholar 

  6. B. NESTLER and A. A. WHEELER, Phys. Rev. E 57 (1998) 2602.

    Article  CAS  ADS  Google Scholar 

  7. V. TRASKINE, P. PROTSENKO, Z. SKVORTSOVA and P. VOLOVITCH, Colloids Surf. A 166 (2000) 261.

    Article  CAS  Google Scholar 

  8. D. LAPORTE and E. B. WATSON, Chem. Geol. 124 (1995) 161.

    Article  CAS  Google Scholar 

  9. G. H. BISHOP, Trans. AIME 242 (1968) 1343.

    CAS  Google Scholar 

  10. H. J. VOGEL and L. RATKE, Acta Metall. Mater. 39 (1991) 641.

    Article  CAS  Google Scholar 

  11. D. CHATAIN, E. RABKIN, J. DERENNE and J. BERNARDINI, Acta Mater. 49 (2001) 1123.

    Article  CAS  Google Scholar 

  12. A. S. LAZARENKO, I. M. MIKHAILOVSKIJ, V. B. RABUKHIN and O. A. VELIKODNAYA, Acta Metall. Mater. 43 (1995) 639.

    Article  CAS  Google Scholar 

  13. A. H. KING, Interf. Sci. 7 (1999) 251.

    Article  CAS  Google Scholar 

  14. D. WEYGAND, Y. BRÉCHET and J. LÉPINOUX, Interf. Sci. 7 (1999) 285.

    Article  CAS  Google Scholar 

  15. P. FORTIER, G. PALUMBO, G. D. BRUCE, W. A. MILLER and K. T. AUST, Scripta Metall. Mater. 25 (1991) 177.

    Article  CAS  Google Scholar 

  16. F. MORGAN and J. E. TAYLOR, Scripta Metall. Mater. 25 (1991) 1907.

    Article  CAS  Google Scholar 

  17. J. E. TAYLOR, Interf. Sci. 7 (1999) 243.

    Article  CAS  Google Scholar 

  18. S. G. SRINIVASAN, J. W. CAHN, H. JÓNSSON, and G. KALONJI, Acta Mater. 47 (1999) 2821.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Metallurgy and Materials Science, Polish Academy of Sciences, Kraków, Poland

    A. Morawiec

Authors
  1. A. Morawiec
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Morawiec.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Morawiec, A. On equilibrium conditions at junctions of anisotropic interfaces. J Mater Sci 40, 2803–2806 (2005). https://doi.org/10.1007/s10853-005-2411-z

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10853-005-2411-z

Keywords

Search

Navigation