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Growth kinetics of grain boundary ferrite allotriomorphs in Fe-C-X alloys

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Abstract

Parabolic rate constants for the thickening (α) and lengthening (β) kinetics of grain boundary allotriomorphs of proeutectoid ferrite have been measured as a function of isothermal transformation temperature in several Fe-C-X’ alloys whereX = Si, Ni, Mn, and Cr. These constants have been corrected approximately for the growth inhibition produced by facets on the allotriomorphs. The corrected α values are compared with those calculated on the basis of three models: equilibrium at α:γ boundaries with partition ofX, local equilibrium with “pile-up” ofX rather than bulk partition, and paraequilibrium. Values calculated from both the paraequilibrium and the “pile-up” models were in order of magnitude or better agreement with the corrected experimental α’s. Similar levels of agreement were obtained for the equilibrium model in the Si and Cr alloys and also in one Ni alloy at lower reaction temperatures. However, an estimate of the maximum possible diffusion distance of alloying element into austenite during growth supported only the paraequilibrium model under nearly all conditions investigated. Even for this model, however, measured rate constants are significantly less than those calculated for Fe-C-Mn and Fe-C-Cr and greater for Fe-C-Si and the higher Ni, Fe-C-Ni alloy. The Mn and Cr discrepancies seem best explained at present by a solute drag-like effect; an accompanying paper indicates that interphase boundary precipitation of carbides is involved in the Si and Ni alloys, though an inverse solute drag-like effect may also be operative.

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References

  1. J. R. Bradley and H. I. Aaronson:Metall. Trans. A, 1977, vol. 8A, p. 317.

    CAS  Google Scholar 

  2. J. R. Bradley, J. M. Rigsbee, and H. I. Aaronson:Metall. Trans. A, 1977, vol. 8A, p. 323.

    CAS  Google Scholar 

  3. P. Boswell, K. R. Kinsman, and H. I. Aaronson: unpublished research, Ford Motor Co., 1968, cited inPhase Transformations, p.313, ASM, Metals Park, Ohio, 1970.

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

    Google Scholar 

  5. K. R. Kinsman and H. I. Aaronson:Metall. Trans., 1973, vol. 4, p. 959.

    CAS  Google Scholar 

  6. C. Atkinson, H. B. Aaron, K. R. Kinsman, and H. I. Aaronson:Metall. Trans., 1973, vol. 4, p. 783.

    CAS  Google Scholar 

  7. M. Hillert and L. I. Staffansson:Acta Chem Scand., 1970, vol. 24, p. 3618.

    Article  CAS  Google Scholar 

  8. M. Hillert:Phase Transformations, p. 181, ASM, Metals Park, Ohio, 1970.

    Google Scholar 

  9. M. Hillert:Hardenability Concepts with Applications to Steel, p. 5, TMS-AIME, 1978.

  10. B. Uhrenius:Hardenability Concepts with Applications to Steel, p. 28, TMS-AIME, 1978.

  11. H. I. Aaronson:Decomposition of Austenite by Diffusional Processes, p. 287, Interscience Publishers, New York, NY, 1962.

    Google Scholar 

  12. H. I. Aaronson and H. A. Domian:Trans. TMS-AIME, 1966, vol. 236, p. 781.

    CAS  Google Scholar 

  13. G. R. Purdy, D. H. Weichert, and J. S. Kirkaldy:Trans. TMS-AIME, 1964, vol. 230, p. 1025.

    CAS  Google Scholar 

  14. J. B. Gilmour, G. R. Purdy, and J. S. Kirkaldy:Metall. Trans., 1972, vol. 3, p. 3213.

    CAS  Google Scholar 

  15. R. C. Sharma and J. S. Kirkaldy:Can. Metall. Q., 1973, vol. 12, p. 391.

    Google Scholar 

  16. H. Oikawa, J. F. Remy, and A. G. Guy:Trans. ASM, 1968, vol. 61, p. 110.

    CAS  Google Scholar 

  17. D. J. Swinden and J. H. Woodhead:J. Iron Steel Inst., 1971, vol. 209, p. 583.

    Google Scholar 

  18. D. V. Edmonds and R. W. K. Honeycombe:Met. Sci., 1978, vol. 12, p. 399.

    Article  CAS  Google Scholar 

  19. F. Togashi and T. Nishizawa:J. Jpn. Inst. Met., 1976, vol. 40, p. 12.

    CAS  Google Scholar 

  20. G. R. Purdy and J. S. Kirkaldy:Trans. TMS-AIME, 1963, vol. 227, p. 1255.

    CAS  Google Scholar 

  21. J. S. Kirkaldy:Can. J. Phys., 1958, vol. 36, p. 907.

    CAS  Google Scholar 

  22. A. A. Popov and M. S. Mikhalev:Phys. Met. Metalliogr. (USSR), 1959, vol. 7, p. 36.

    Google Scholar 

  23. L. S. Darken and R. M. Fisher:Decomposition of Austenite by Diffusional Processes, p. 907, Interscience Publishers, New York, NY, 1962.

    Google Scholar 

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

    Google Scholar 

  25. M. Hillert: Internal Report, Swedish Inst. for Metals Research, Stockholm Sweden, 1953.

  26. A. Hultgren:Jernkontorets Ann., 1951, 135, p. 403.

    Google Scholar 

  27. M. Hillert:Jernkontorets Ann., 1952, vol. 136, p. 25.

    Google Scholar 

  28. E. Rudberg:Jernkontorets Ann., 1952, vol. 136, p. 91.

    Google Scholar 

  29. J. B. Gilmour, G. R. Purdy, and J. S. Kirkaldy:Metall. Trans., 1972, vol. 3, p. 1455.

    CAS  Google Scholar 

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

    CAS  Google Scholar 

  31. H. I. Aaronson, C. Laird, and K. R. Kinsman:Phase Transformations, p. 313, ASM, Metals Park, Ohio, 1970.

    Google Scholar 

  32. D. E. Coates:Metall. Trans., 1972, vol. 3, p. 1203.

    CAS  Google Scholar 

  33. D. E. Coates:Metall. Trans., 1973, vol. 4, p. 1077.

    CAS  Google Scholar 

  34. D. E. Coates:Metall. Trans., 1973, vol. 4, p. 2313.

    CAS  Google Scholar 

  35. C. Wagner:Thermodynamics of Alloys, p. 53, Addison-Wesley, Reading, MA., 1952.

    Google Scholar 

  36. J. R. Bradley, T. Abe, and H. I. Aaronson: unpublished research, Michigan Technological University, Houghton, MI, 1979.

  37. G. Horvay and J. W. Cahn:Acta Metall., 1961, vol. 9, p. 695.

    Article  CAS  Google Scholar 

  38. W. F. Lange III: Ph.D. Thesis, Michigan Technological University, Houghton, ML, 1979.

    Google Scholar 

  39. K. R. Kinsman, E. Eichen, and H. I. Aaronson:Metall. Trans. A, 1975, vol. 6A, p. 303.

    CAS  Google Scholar 

  40. H. I. Aaronson:J. of Microscopy,, 1974, vol. 102, p. 275.

    Google Scholar 

  41. J. M. Rigsbee and H. I. Aaronson:Acta Metall., 1979, vol. 27, p. 351.

    Article  CAS  Google Scholar 

  42. J. M. Rigsbee and H. I. Aaronson:Acta Metall., 1979, vol. 27, p. 365.

    Article  CAS  Google Scholar 

  43. G. R. Purdy:Acta Metall., 1978, vol. 26, p. 477.

    Article  CAS  Google Scholar 

  44. G. R. Purdy:Acta Metall., 1978, vol. 26, p. 487.

    Article  CAS  Google Scholar 

  45. L. Onsager.Ann. N. Y. Acad. Sci., 1945, vol. 46, p. 241.

    Article  CAS  Google Scholar 

  46. F. C. Frank:Proc. Roy. Soc, 1950, vol. A201, p. 586.

    Google Scholar 

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

    Article  CAS  Google Scholar 

  48. C. A. Dubé: Ph.D Thesis, Carnegie Inst. of Technology, Pittsburgh, PA, 1948.

    Google Scholar 

  49. R. F. Mehl and C. A. Dubé:Phase Transformations in Solids, R. Smoluchowski, J. E. Mayer, and W. A. Weyl, eds., p. 545, John Wiley, NY, 1951.

    Google Scholar 

  50. J. S. Kirkaldy and G. R. Purdy:Can. J. Phys., 1962, vol. 40, p. 208.

    CAS  Google Scholar 

  51. L. C. Brown and J. S. Kirkaldy:Trans. TMS-AIME, 1964, vol. 230, p. 223.

    CAS  Google Scholar 

  52. J. S. Kirkaldy, B. A. Thomson, and E. Baganis:Hardenability Concepts with Applications to Steel, p. 82, TMS-AIME, 1978.

  53. M. Hillert:Acta Metall., 1955, vol. 3, p. 34.

    Article  CAS  Google Scholar 

  54. R. B. McLellan and W. W. Dunn:J. Phys. Chem. Solids, 1969, vol. 30, p. 2631.

    Article  CAS  Google Scholar 

  55. C. Atkinson:Acta Metall., 1968, vol. 16, p. 1019.

    Article  Google Scholar 

  56. J. Fridberg, L. Torndahl, and M. Hillert:Jernkontorets Ann., 1969, vol. 153, p. 263.

    CAS  Google Scholar 

  57. J. B. Gilmour: Ph.D. Thesis, McMaster University, Hamilton, Ontario, CanActa, 1970.

    Google Scholar 

  58. A. Hultgren:Trans. ASM, 1947, vol. 39, p. 915.

    Google Scholar 

  59. A. T. Davenport, F. G. Berry, and R. W. K. Honeycombe:Met. Sci.J., 1968, vol. 2, p. 104.

    Article  CAS  Google Scholar 

  60. J. M. Gray and R. B. G. Yeo:Trans. ASM, 1968, vol. 61, p. 255.

    CAS  Google Scholar 

  61. R. C. Sharma and G. R. Purdy:Metall. Trans., 1973, vol. 4. p. 2303.

    CAS  Google Scholar 

  62. H. I. Aaronson:Trans. TMS-AIME, 1962, vol. 224, p. 870.

    CAS  Google Scholar 

  63. C. J. Middleton and D. V. Edmonds:Metallography, 1977, vol. 10, p. 55.

    Article  CAS  Google Scholar 

  64. R. W. K.Honeyombe Metall. Trans. A, 1976, vol. 7A, p. 915.

    Google Scholar 

  65. V. K. Heikinnen:Acta Metall., 1973, vol. 21, p. 709.

    Article  Google Scholar 

  66. V. K. Heikinnen:Scand. J. Metall., 1974, vol. 3, p. 41.

    Google Scholar 

  67. K. Campbell and R. W. K. Honeycombe:Met. Sci. J., 1974, vol. 8, p. 197.

    Article  CAS  Google Scholar 

  68. R. W. K. Honeycombe:Met. Sci.J, 1980, vol. 14, p. 201.

    Article  CAS  Google Scholar 

  69. T. Obara, G. J. Shiflet, and H. I. Aaronson: Unpublished research, Carnegie-Mellon Univ., Pittsburgh, PA, 1980.

    Google Scholar 

  70. H. I. Aaronson, M. R. Plichta, G. W. Franti, and K. C. Russell:Metall. Trans. A, 1978, vol. 9A, p. 363.

    CAS  Google Scholar 

  71. G. J. Shiflet, J. R. Bradley, and H. I. Aaronson:Metall. Trans. A, 1981, vol. 12A, p. 1743.

    Google Scholar 

  72. H. I. Aaronson:The Mechanism of Phase Transformations in Crystalline Solids, p. 270, Inst. of Metals, London, 1969.

    Google Scholar 

  73. J. W. Cahn:Acta Metall., 1962, vol. 10, p. 789.

    Article  CAS  Google Scholar 

  74. K. Lücke and H. Stüwe:Recovery and Recrystallization of Metals, p. 131, Interscience, New York, 1963.

    Google Scholar 

  75. M. Hillert and B. Sundman:.Acta Metall., 1976, vol. 24, p. 731.

    Article  CAS  Google Scholar 

  76. M. Guttmann:Surf. Sci., 1975, vol. 53, p. 213.

    Article  CAS  Google Scholar 

  77. D. McLean:Grain Boundaries in Metals, p. 116, Clarendon Press, Oxford, 1957.

    Google Scholar 

  78. R. P. Elliott:Constitution of Binary Alloys, p. 419, McGraw-Hill, New York, 1965.

    Google Scholar 

  79. J. C. Greenbank:Carbon-Solute Interactions in Solid Iron Alloys, Univ. of Sheffield, 1971.

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Authors and Affiliations

  1. Physics Department, General Motors Research Laboratories, 48090, Warren, MI

    J. R. Bradley

  2. Department of Metallurgical Engineering and Materials Science, Carnegie-Mellon University, 15212, Pittsburgh, PA

    H. I. Aaronson (R. F. Mehl Professor)

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  1. J. R. Bradley
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  2. H. I. Aaronson
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Formerly graduate student, Department of Metallurgical Engineering, Michigan Technological University.

Formerly Professor at Michigan Technological University.

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Bradley, J.R., Aaronson, H.I. Growth kinetics of grain boundary ferrite allotriomorphs in Fe-C-X alloys. Metall Trans A 12, 1729–1741 (1981). https://doi.org/10.1007/BF02643755

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