Skip to main content
Log in

Abnormal growth of faceted (WC) grains in a (Co) liquid matrix

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

Abstract

If the grains dispersed in a liquid matrix are spherical, their surface atomic structure is expected to be rough (diffuse), and their coarsening has been observed to be controlled by diffusion in the matrix. They do not, furthermore, undergo abnormal growth. On the other hand, in some compound material systems, the grains in liquid matrices are faceted and often show abnormal coarsening behavior. Their faceted surface planes are expected to be singular (atomically flat) and therefore grow by a defect-assisted process and two-dimensional (2-D) nucleation. Contrary to the usual coarsening the-ories, their growth velocity is not linearly dependent on the driving force arising from the grain size difference. If the growth of the faceted grains occurs by 2-D nucleation, the rate is expected to increase abruptly at a critical supersaturation, as has been observed in crystal growth in melts and solutions. It is proposed that this growth mechanism leads to the abnormal grain coarsening. The 2-D nucleation theory predicts that there is a threshold initial grain size for the abnormal grain growth (AGG), and the propensity for AGG will increase with the heat-treatment temperature. The AGG behavior will also vary with the defects in the grains. These predictions are qualitatively confirmed in the sintered WC-Co alloy prepared from fine (0.85-Μm) and coarse (5.48-Μm) WC powders and their mixtures. The observed dependence of the AGG behavior on the sintering temperature and the milling of the WC powder is also qualitatively consistent with the predicted behavior.

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. R.H. Krock:J. ASTM, 1964, pp. 669-79.

  2. A. Kannappan: Ph.D. thesis, Chalmers University of Technology, Gothenburg, 1971.

  3. T.K. Kang and D.N. Yoon:Metall. Trans. A, 1978, vol. 9A, pp. 433- 38.

    CAS  Google Scholar 

  4. W.H. Rhee and D.N. Yoon:Acta Metall., 1987, vol. 35, pp. 1447–51.

    Article  CAS  Google Scholar 

  5. C.H. Kang and D.N. Yoon:Metall. Trans. A, 1981, vol. 12A, pp. 65- 69.

    Google Scholar 

  6. S.S. Kang and D.N. Yoon:Metall. Trans. A, 1982, vol. 13A, pp. 1405- 11.

    Google Scholar 

  7. J.H. Han, Y.K. Chung, D.Y. Kim, S.H. Cho, and D.N. Yoon:Acta Metall., 1989, vol. 37, pp. 2705–08.

    Article  CAS  Google Scholar 

  8. J. Kim, T. Kimura, and T. Yamaguchi:J. Am. Ceram. Soc., 1989, vol. 72, pp. 1541–44.

    Article  CAS  Google Scholar 

  9. U.C. Oh, Y.S. Chung, D.Y. Kim, and D.N. Yoon:J. Am. Ceram. Soc., 1988, vol. 71, pp. 854–57.

    Article  CAS  Google Scholar 

  10. J.W. Jeong, D.N. Yoon, and D.Y. Kim:Acta Metall. Mater., 1991, vol. 39, pp. 1275–79.

    Article  CAS  Google Scholar 

  11. R. Warren:J. Mater. Sci., 1972, vol. 7, pp. 1434–42.

    Article  CAS  Google Scholar 

  12. R. Warren and M.B. Waldron:Powder Metall., 1972, vol. 15, pp. 166–201.

    CAS  Google Scholar 

  13. N.M. Hwang, S.J.L. Kang, and D.N. Yoon:Metall. Trans. A, 1986, vol. 17A, pp. 1429–31.

    CAS  Google Scholar 

  14. K.W. Lay:J. Am. Ceram. Soc., 1968, vol. 51, pp. 373–76.

    Article  CAS  Google Scholar 

  15. R. Watanabe and Y. Masuda: inSintering and Catalysis, Material Science and Research, G.C. Kuczynski, ed., Plenum Press, New York, NY, 1975, vol. 10, pp. 389–98.

    Google Scholar 

  16. D.S. Buist, B. Jackson, I.M. Stephenson, W.F. Ford, and J. White:Trans. Br. Ceram. Soc., 1965, vol. 64, pp. 173–209.

    CAS  Google Scholar 

  17. I.M. Lifshits and V.V. Slyozov:J. Phys. Chem. Solids, 1961, vol. 19, pp. 35–50.

    Article  Google Scholar 

  18. C. Wagner:Z. Elektrochem., 1961, vol. 65, pp. 581–91.

    CAS  Google Scholar 

  19. A.J. Adell:Acta Metall., 1972, vol. 20, pp. 61–71.

    Article  Google Scholar 

  20. G.W. Greenwood: inThe Mechanism of Phase Transformations in Crystalline Solids, Institute of Metals, London, 1969, pp. 103–10.

    Google Scholar 

  21. E. Hanitzsch and M. Kahlweit: inIndustrial Crystallization, The Institution of Chemical Engineers, London, 1969, pp. 130–41.

    Google Scholar 

  22. M. Kahlweit:Adv. Coll. Interface Sci., 1975, vol. 5, pp. 1–35.

    Article  CAS  Google Scholar 

  23. P.W. Voorhees:Ann. Rev. Mater. Sci., 1992, vol. 22, pp. 197–215.

    Article  CAS  Google Scholar 

  24. H.E. Exner:Z. Metallkd., 1973, vol. 64, pp. 273–80.

    CAS  Google Scholar 

  25. D.E. Ovsienko and G.A. Alfintsev: inCrystals, Springer, Berlin, 1980, vol. 2, pp. 119–69.

    Google Scholar 

  26. P.R. Pennington, S.F. Ravtiz, and G. Abbascian:Acta Metall., 1970, vol. 18, pp. 943–53.

    Article  CAS  Google Scholar 

  27. P. Bennema:Phys. Status Solidi, 1966, vol. 17, pp. 563–70.

    CAS  Google Scholar 

  28. A.A. Ballman and R.A. Laudise: inThe Art and Science of Growing Crystals, J.J. Gilman, ed., Wiley, New York, NY, 1963, pp. 231–51.

    Google Scholar 

  29. M. Schreiner, Th. Schimitt, E. Lassner, and B. Lux:Powder Metall. Int., 1984, vol. 16, pp. 180–83.

    Google Scholar 

  30. K.M. Friederich and H.E. Exner: inThe 10th Plansee Seminar, Reutte, 1981, vol. 2, pp. 795–810.

    CAS  Google Scholar 

  31. V.H. Grewe, H.E. Exner, and P. Walter:Z.Metallkd., 1973, vol. 64, pp. 85–93.

    CAS  Google Scholar 

  32. K.Y. Eun: Ph.D. Thesis, KAIST, Korea, 1983.

  33. E. Lardner:Powder Metall., 1970, vol. 13, pp. 394–428.

    CAS  Google Scholar 

  34. D.D. Lee, S.J.L. Kang, and D.N. Yoon:J. Am. Ceram. Soc., 1988, vol. 71, pp. 803–06.

    Article  Google Scholar 

  35. S.Y. Park, K. Choi, S.J.L. Kang, and D.N. Yoon:J. Am. Ceram. Soc., 1992, vol. 75, pp. 216–19.

    Article  CAS  Google Scholar 

  36. D.F.K. Hennings, R. Janssen, and P.J.L. Reynen:J. Am. Ceram. Soc., 1987, vol. 70, pp. 23–27.

    Article  CAS  Google Scholar 

  37. R. Warren:J. Less-Common Metals, 1969, vol. 17, pp. 65–72.

    Article  CAS  Google Scholar 

  38. R. Warren:J. Mater. Sci., 1968, vol. 3, pp. 471–85.

    Article  CAS  Google Scholar 

  39. H.E. Exner and H. Fischmeister:Arch Eisenhüttenwes., 1966, vol. 37, pp. 417–26.

    CAS  Google Scholar 

  40. H.E. Exner and H. Fischmeister:Z. Metallkd., 1966, vol. 57, pp. 187- 93.

    Google Scholar 

  41. J. Gurland:Trans. AIME, 1954, vol. 200, pp. 285–90.

    Google Scholar 

  42. O. Rüdiger, D. Hirschfield, A. Hoffmann, J. Kolaska, G. Ostermann, and J. Willbrand:Int. J. Powder Metall., 1971, vol. 7(1), pp. 29–38.

    Google Scholar 

  43. G.J. Rees and B. Young:Powder Metall., 1971, vol. 14, pp. 185–98.

    Google Scholar 

  44. S. Kolar, M. Trontelj, and Stadler:J. Am. Ceram. Soc., 1982, vol. 65, pp. 470–74.

    Article  CAS  Google Scholar 

  45. C.H. Lee and C.H. Kim:J. Mater. Sci., 1992, vol. 27, pp. 6335–40.

    Article  CAS  Google Scholar 

  46. F.M. Carpay and A.L. Stuijts:Sci. Ceram., 1975, vol. 8, pp. 23–38.

    Google Scholar 

  47. C. Kooy:Sci. Ceram., 1962, vol. 1, pp. 21–34.

    CAS  Google Scholar 

  48. K. Hirao, T. Nagaoka, M.E. Brito, and S. Kanzaki:J. Am. Ceram. Soc., 1994, vol. 77, pp. 1857–62.

    Article  CAS  Google Scholar 

  49. H. Song and R.L. Coble:J. Am. Ceram. Soc., 1990, vol. 73, pp. 2077- 85.

    Article  CAS  Google Scholar 

  50. W.Y. Lee, D.Y. Kim, W.Y. Chung, and J.H. Oh:J. Kor. Inst. Met., 1989, vol. 27, pp. 1043–50.

    CAS  Google Scholar 

  51. C.V. Thompson, H.J. Frost, and F. Spaepen:Acta Metall., 1987, vol. 35, pp. 887–90.

    Article  CAS  Google Scholar 

  52. M. Volmer:Kinetik Phasenbildung, Steinkopff, Dresden, 1939.

    Google Scholar 

  53. R. Becker and W. Döring:Ann. Phys., 1935, vol. 24, pp. 719–52.

    Article  CAS  Google Scholar 

  54. W.B. Hillig:Acta Metall., 1966, vol. 14, pp. 1868–69.

    Article  CAS  Google Scholar 

  55. F.C. Frank:Disc. Faraday Soc., 1949, vol. 5, pp. 48–53.

    Article  Google Scholar 

  56. W.K. Burton, N. Cabrera, and F.C. Frank:Phil. Trans. R. Soc., London, Sect. A, 1951, vol. A243, pp. 299–358.

    Article  CAS  Google Scholar 

  57. J.P. Hirth and G.M. Pound: inCondensation and Evaporation, Nucleation and Growth Kinetics, vol. 11, B. Chalmers, ed.,Progress in Material Science, Pergamon Press, Oxford, United Kingdom, 1963, pp. 77–148.

    Google Scholar 

  58. W.B. Hillig: inGrowth and Perfection of Crystals, R.H. Doremus, B.W. Roberts, and D. Turnbull, eds., John Wiley and Sons Inc., New York, NY, 1958, pp. 350–60.

    Google Scholar 

  59. M. Hayashi and T. Shichiri:J. Cryst. Growth, 1974, vol. 21, pp.254–60.

    Article  CAS  Google Scholar 

  60. S.D. Peteves and R. Abbascian:Metall. Trans. A, 1991, vol. 22A, pp. 1259–70.

    CAS  Google Scholar 

  61. G.W. Sears:J. Chem. Phys., 1955, vol. 23, pp. 1630–32.

    Article  CAS  Google Scholar 

  62. E. Bauser and H. Strunk:Thin Solid Films, 1982, vol. 93, pp. 185–94.

    Article  CAS  Google Scholar 

  63. F.C. Frank:J. Cryst. Growth, 1981, vol. 51, pp. 367–68.

    Article  CAS  Google Scholar 

  64. R.S. Wagner:Acta Metall., 1960, vol. 8, pp. 57–60.

    Article  Google Scholar 

  65. D.R. Hamilton and R.G. Seidensticker:J. Appl. Phys., 1960, vol. 31, pp. 1165–68.

    Article  CAS  Google Scholar 

  66. D.P. Woodruff:The Solid-Liquid Interface, Cambridge University Press, London, 1973, pp. 151–73.

    Google Scholar 

  67. Smithells Metals Reference Book, 6th ed., E.A. Brandes, ed., Butterworth and Co., London, 1983, pp. 10(55)-10(56).

  68. G. Pezzotti:J. Am. Ceram. Soc., 1994, vol. 77, pp. 2465–69.

    Article  Google Scholar 

  69. D.N. French and D.A. Thomas:Int. J. Powder Metall., 1967, vol. 3(3), pp. 7–14.

    CAS  Google Scholar 

  70. H.E. Suzuki, Y. Fuke, and K. Hayashi:J. Jpn. Soc. Powder Powder Metall., 1972, vol. 19, p. 106.

    Google Scholar 

  71. D.N. Yoon and W.J. Huppmann:Acta Metall., 1979, vol. 27, pp. 693- 98.

    Article  CAS  Google Scholar 

  72. M. Hillert:Acta Metall., 1965, vol. 13, pp. 227–38.

    Article  CAS  Google Scholar 

  73. A.D. Rollett, D.J. Srolovitz, and M.P. Anderson:Acta Metall., 1989, vol. 37, pp. 1227–40.

    Article  CAS  Google Scholar 

  74. G.S. Grest, D.J. Srolovitz, and M.P. Anderson:Acta Metall., 1985, vol. 33, pp. 509–20.

    Article  CAS  Google Scholar 

  75. H.J. Frost, C.V. Thompson, and D.T. Walton:Acta Metall., 1992, vol. 40, pp. 779–93.

    Article  CAS  Google Scholar 

  76. D.J. Srolovitz, G.S. Grest, and M.P. Anderson:Acta Metall., 1985, vol. 33, pp. 2233–47.

    Article  CAS  Google Scholar 

  77. M.F. Yan:Mater. Sci. Eng., 1981, vol. 48, pp. 53–72.

    Article  CAS  Google Scholar 

  78. U. Kunaver and D. Kolar:Acta Metall. Mater., 1993, vol. 41, pp. 2255–63.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Park, Y.J., Hwang, N.M. & Yoon, D.Y. Abnormal growth of faceted (WC) grains in a (Co) liquid matrix. Metall Mater Trans A 27, 2809–2819 (1996). https://doi.org/10.1007/BF02652373

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02652373

Keywords

Navigation