Skip to main content
Log in

On the growth kinetics of grain boundary ferrite allotriomorphs

  • Published:
Metallurgical Transactions Aims and scope Submit manuscript

Abstract

Previous work has shown that the thickening kinetics of proeutectoid ferrite allotriomorphs in an Fe-0.11 pct C alloy are often more rapid than the kinetics calculated for volume diffusion-control from the Dube-Zener equation for the migration of a planar boundary of infinite extent, assuming the diffusivity of carbon in austenite,D, to be constant at that of the carbon content of the Ae3. Recalculating the thickening kinetics, using a numerical analysis of the infinite planar boundary problem previously developed by Atkinson in which the variation ofD with composition is taken fully into account, was found to increase this discrepancy. Measurements were then made of the lengthening as well as the thickening kinetics of grain boundary allotriomorphs in the same alloy. Application to these data of Atkinson’s numerical analysis of the growth kinetics of an oblate ellipsoid, in which the composition-dependence ofD is similarly considered, produced an acceptable accounting for nearly all of the data. It was concluded that the growth of ferrite allotriomorphs is primarily controlled by the volume diffusion of carbon in austenite; the presence of a small proportion of dislocation facets along one of the broad faces of the allotriomorphs, however, usually results in growth kinetics which are somewhat slower. An alternate treatment of the lengthening and thickening data upon the basis of the theory of interfacial diffusion-aided growth of allotriomorphs indicated that, in the temperature range investigated (735° to 810°C),the diffusivities of carbon along γ:γ and γ:α boundaries required for this mechanism to make a significant contribution to growth are too high to be physically plausible.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. R. Kinsman and H. I. Aaronson:Transformation and Hardenability in Steels, p. 39, Climax Molybdenum Co., Ann Arbor, Mich., 1967.

    Google Scholar 

  2. C. A. Dubé: Ph.D. Thesis, Carnegie Institute of Technology, 1948.

  3. C. Zener:J. Appl. Phys., 1949, vol. 20, p. 950.

    Article  CAS  Google Scholar 

  4. C. Wells, W. Batz, and R. F. Mehl:AIME Trans., 1950, vol. 188, p. 553.

    CAS  Google Scholar 

  5. C. Wagner:AIME Trans., 1952, vol. 194, p. 91.

    Google Scholar 

  6. H. I. Aaronson:Decomposition of Austenite by Diffusional Processes, p. 387, Interscience Publishers, New York, 1962.

    Google Scholar 

  7. H. B. Aaron and H. I. Aaronson:Acta Met., 1968, vol. 16, p. 789.

    Article  CAS  Google Scholar 

  8. H. I. Aaronson:The Mechanism of Phase Transformations in Metals, p. 270, Institute of Metals, London, 1955.

    Google Scholar 

  9. J. Goldman, H. I. Aaronson, and H. B. Aaron:Met. Trans., dy1970, vol. 1, p. 1805.

    CAS  Google Scholar 

  10. J. W. Cahn and W. C. Hagel:Decomposition of Austenite by Diffusional Processes, p. 131, Interscience Publishers, New York, 1962.

    Google Scholar 

  11. G. F. Boiling and R. H. Richman:Met. Trans., 1970, vol. 1, p. 2095.

    Google Scholar 

  12. J. S. Kirkaldy and M. Puls:Met. Trans., in press.

  13. C. Atkinson:Acta Met., 1968, vol. 16, p. 1019.

    Article  Google Scholar 

  14. C. Atkinson:Trans. TMS-AIME, 1969, vol. 245, p. 801.

    Google Scholar 

  15. G. R. Purdy, D. H. Weichert and J. S. Kirkaldy:Trans. TMS-AIME, 1963, vol. 227, p. 1255.

    CAS  Google Scholar 

  16. H. I. Aaronson, H. A. Domian, and G. M. Pound:Tram. TMS-AIME, 1966, vol. 236, p. 768.

    CAS  Google Scholar 

  17. M. Hillert:The Mechanism of Phase Transformations in Crystalline Solids, p. 231, Institute of Metals, London, 1969.

    Google Scholar 

  18. L. Kaufman, S. V. Radcliffe, and M. Cohen:Decomposition of Austenite by Diffusional Processes, p. 313, Interscience Publishers, New York, 1962.

    Google Scholar 

  19. M. Abramowitz and I. A. Stegun:Handbook of Mathematical Functions, p. 299, Dover, London, 1955.

    Google Scholar 

  20. J. R. Philip:Trans. Faraday Soc, 1955, vol. 51, p. 885.

    Article  CAS  Google Scholar 

  21. H. I. Aaronson, H. A. Domian, and G. M. Pound:Trans. TMS-AIME, 1966, vol. 236, p. 753.

    CAS  Google Scholar 

  22. G. Horvay and J. W. Cahn:Acta Met., 1961, vol. 9, p. 695.

    Article  CAS  Google Scholar 

  23. G. Horvay and J. W. Cahn: G. E. Research Report No. 60-RL-2561M, General Electric Research and Development Center, Schenectady, N.Y., 1960.

    Google Scholar 

  24. Z. Kopal:Numerical Analysis, p. 564, John Wiley and Sons, New York, N.Y., 1955.

    Google Scholar 

  25. K. R. Kinsman, E. Eichen, and H. I. Aaronson: Ford Motor Co., Dearborn, Mich., unpublished research, 1972.

  26. H. I. Aaronson, C. Laird and K. R. Kinsman:Phase Transformations, p. 313, A.S.M., Metals Park, Ohio, 1970.

    Google Scholar 

  27. A. D. Brailsford and H. B. Aaron:J. Appl. Phys., 1968, vol. 40, p. 1702.

    Article  Google Scholar 

  28. M. Hillert:Jernkontorets Ann., 1957, vol. 141, p. 757.

    CAS  Google Scholar 

  29. R. D. Townsend and J. S. Kirkaldy:Trans. ASM, 1968, vol. 61, p. 605.

    CAS  Google Scholar 

  30. H. I. Aaronson: Ph.D. Thesis, Carnegie Institute of Technology, 1954.

  31. P. Boswell, K. R. Kinsman, and H.I. Aaronson: Ford Motor Co., Dearborn, Mich., unpublished research, 1972.

  32. E. B. Hawbolt and L. C. Brown:Trans. TMS-AIME, 1967, vol. 239, p. 1916; E. B. Hawbolt, Ph.D. Thesis, Univ. of British Columbia, 1967.

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Formerly with Scientific Research Staff

Formerly with Scientific Research Staff, Ford Motor Company

Rights and permissions

Reprints and permissions

About this article

Cite this article

Atkinson, C., Aaron, H.B., Kinsman, K.R. et al. On the growth kinetics of grain boundary ferrite allotriomorphs. Metall Trans 4, 783–792 (1973). https://doi.org/10.1007/BF02643088

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02643088

Keywords

Navigation