Log in

Chemical stresses induced by grain-boundary diffusion

  • Published:
Metallurgical and Materials Transactions A Aims and scope Submit manuscript

Abstract

Based on Whipple-Suzuoka solutions, the chemical stresses induced by grain-boundary diffusion under constant- and instantaneous-source concentrations are investigated. For a finite boundary, the chemical stress consists of both compression and tension fields, in the sequence of compression I-tension-compression II, with the compression I field near the diffusion interface. The magnitudes and distributions of these fields differ for different source concentrations and are strongly affected by the ratio of diffusivity in the grain boundary and diffusivity in the lattice (D′/D). As D′/D increases, the magnitude of the compression I field decreases and that of the tension and compression II fields increases. An increase in D′/D also increases the range of the compression I field. The trend is distinct in the case of constant-source diffusion, while in the case of instantaneous source diffusion, both the tension and compression II fields appear to be extremely small.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Canada)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Prussin: J. Appl. Phys., 1961, vol. 32, pp. 1876–81.

    Article  CAS  Google Scholar 

  2. J.C.M. Li: Metall. Trans. A, 1978, vol. 9A, pp. 1353–80.

    CAS  Google Scholar 

  3. D.P. Miller, J.E. Moore, and C.R. Moore: J. Appl. Phys., 1962, vol. 33, pp. 2648–52.

    Article  CAS  Google Scholar 

  4. G.H. Schwuttke and H.J. Queisser: J. Appl. Phys., 1962, vol. 33, pp. 1540–42.

    Article  CAS  Google Scholar 

  5. R.J. Jaccodine: Appl. Phys. Lett., 1964, vol. 4, pp. 114–15.

    Article  CAS  Google Scholar 

  6. J. Washburn, G. Thomas, and H.J. Queisser: J. Appl. Phys., 1964, vol. 35, pp. 1909–14.

    Article  CAS  Google Scholar 

  7. E. Levine, J. Washburn, and G. Thomas: J. Appl. Phys., 1967, vol. 38, pp. 81–86; 1967, vol. 38, pp. 87–94.

    Article  CAS  Google Scholar 

  8. I.M. Sukhodreva and L.D. Cheryukanova: Sov. Phys.-Solid State, 1968, vol. 10, pp. 737–38.

    Google Scholar 

  9. S. Lee and J.C.M. Li: J. Appl. Phys., 1981, vol. 52, pp. 1336–46.

    Article  CAS  Google Scholar 

  10. S. Lee and H. Ouyang: J. Thermal Stresses, 1987, vol. 10, pp. 269–82.

    Google Scholar 

  11. J.L. Chu and S. Lee: J. Appl. Phys., 1993, vol. 73, pp. 3211–19.

    Article  Google Scholar 

  12. J.L. Chu and S. Lee: J. Appl. Phys., 1993, vol. 74, pp. 171–88.

    Article  CAS  Google Scholar 

  13. J.L. Chu and S. Lee: J. Appl. Phys., 1993, vol. 73, pp. 2239–48.

    Article  CAS  Google Scholar 

  14. J.C. Fisher: J. Appl. Phys., 1951, vol. 22, pp. 74–77.

    Article  CAS  Google Scholar 

  15. R.T.P. Whipple: Phil. Mag., 1954, vol. 45, pp. 1225–36.

    CAS  Google Scholar 

  16. A.D. Le Claire: Br. J. Appl. Phys., 1963, vol. 14, pp. 351–56.

    Article  Google Scholar 

  17. T. Suzuoka: Trans. Jpn. Inst. Met., 1961, vol. 2, p. 25 J. Phys. Soc. Jpn., 1964, vol. 19, pp. 839–51.

    CAS  Google Scholar 

  18. Y.T. Chou, Y.Z. Li, and C.T. Liu: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 3473–77.

    Article  CAS  Google Scholar 

  19. S.P. Timoshenko and J.N. Goodier: Theory of Elasticity, 3rd ed., McGraw-Hill Book Co., New York, NY, 1970, p. 435.

    Google Scholar 

  20. A.H. King: Int. Mater. Rev., 1987, vol. 32, pp. 173–89.

    CAS  Google Scholar 

  21. M. Hillert and G.R. Purdy: Acta Metall., 1978, vol. 26, pp. 333–40.

    Article  CAS  Google Scholar 

  22. M. Kajihara and W. Gust: Acta. Metall. Mater., 1991, vol. 39, pp. 2565–74.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, W.L., Chou, Y.T. & Lee, S. Chemical stresses induced by grain-boundary diffusion. Metall Mater Trans A 29, 2121–2125 (1998). https://doi.org/10.1007/s11661-998-0037-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11661-998-0037-x

Keywords

Navigation