Skip to main content
SpringerLink
Log in

Numerical simulation of diffusion growth of a grain-boundary microvoid

  • Published:
Materials Science Aims and scope

Abstract

We study the influence of a concentration of stresses in the vicinity of grain-boundary microvoids on their growth by the diffusion mechanism. For this purpose, we use the boundary-value diffusion problem formulated earlier on the basis of thermodynamical analysis of the “metal-microvoid” two-phase system. The distribution of stresses in the vicinity of microvoids, which is required to solve the problem, is determined by the method of finite elements. The results of calculations demonstrate that, at a high concentration of microvoids on the boundary of a grain, the influence of concentration of stresses is insignificant. Only for large values of the relative radius of microvoidsR/λ and a low concentration of microvoids (λ≥50μm) is the effect of concentration of stresses as large as 15–20%.

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. M. F. Ashby, “Mechanisms of deformation and fracture,”Adv. Appl. Mech.,23, 117–177 (1983).

    Google Scholar 

  2. J. Friedel,Dislocations, Pergamon Press, Oxford (1964).

    Google Scholar 

  3. D. Hull and D. E. Rimmer, “The growth of grain-boundary microvoids under stress,”Philos. Mag.,4, 673–687 (1959).

    CAS  Google Scholar 

  4. J. Raj and M. F. Ashby, “Intergranular fracture at elevated temperature,”Acta Metall.,23, 653 (1975).

    Google Scholar 

  5. A. Needleman and J. R. Rice, “Plastic creep flow effect in the diffusive cavitation of grain boundaries”Acta Metall.,28, 1315–1332 (1980).

    CAS  Google Scholar 

  6. I. D. Skrypnyk and A. H. Nykyforchyn, “Modelling of crack propagation in damaged material under creep,” in:Proc. of Int. Symp. “Material Ageing and Life Extension” (1995, Milan, Italy), Vol. 2, 1241–1250 (1995).

  7. M. W. D. van der Burg, E. van der Giessen, and R. C. Brouwer, “Investigation of hydrogen attack in steels 2.25Cr-1Mo with a high-triaxiality microvoid growth model,”,Acta Metall.,44, 2, 505–518 (1996).

    Google Scholar 

  8. I. D. Skrypnyk, “High temperature microvoids growth due to grain boundary diffusion,” in: O. M. Romaniv and S. Ya. Yarema (editors),Fracture Mechanics, Strength and Integrity of Materials, L'viv (1996), pp. 157–168.

  9. G. M. Nykyforchyn, I. D. Skrypnyk, V. B. Lutchyn, “Estimation of the rate of diffusion growth of microvoids with consideration of the concentration of stresses in their vicinity,”Fiz.-Khim. Mekh. Mater.,34, No. 2, 49–55 (1998).

    Google Scholar 

  10. MARC.Volume A: Theory and User Information, Version 7, Palo Alto, USA (1997).

  11. MARC.Volume B: Element Library, Version 7, Palo Alto, USA (1997).

  12. E. I. Krutasova,Reliability of Metals for Equipment, in Power Engineering [in Russian], Énergoizdat, Moscow (1981).

    Google Scholar 

Download references

Authors
  1. I. D. Skrypnyk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. B. Lutchyn
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. O. Z. Student
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Karpenko Physicomechanical Institute, Ukrainian Academy of Sciences, L'viv. Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 35, No. 1, pp. 43–46, January–February, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Skrypnyk, I.D., Lutchyn, V.B. & Student, O.Z. Numerical simulation of diffusion growth of a grain-boundary microvoid. Mater Sci 35, 42–47 (1999). https://doi.org/10.1007/BF02355600

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02355600

Keywords

Search

Navigation