Skip to main content
SpringerLink
Log in

Slip, twinning, and fracture in hexagonal close-packed metals

  • Published:
Metallurgical Transactions A Aims and scope Submit manuscript

Abstract

The role of deformation twinning in fracture of hexagonal close-packed metals is reviewed from a theoretical point of view. Strength and ductility are correlated with the intrinsic physical and metallurgical variables. The importance of c + a slip and of both “tension” and “compression” twins as independent modes for a generalized polycrystalline deformation is emphasized. Effects of slip-twin and twin-twin interactions on crack initiation and high-order twinning are reviewed. The competitive role of twin nucleationvs crack initiation is discussed. Shortcomings of our current understanding of the role of twinning are indicated, and some futher studies are recommended.

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. Deformation Twinning, R. E. Reed-Hill, J. P. Hirth, and H. C. Rogers, eds., TMS-AIME Conf. Vol. 25, Gordon and Breach, New York, 1964.

    Google Scholar 

  2. R. E. Reed-Hill: Ref. 1, pp. 295–320.

  3. R. W. Armstrong: Ref. 1, pp. 356–77.

  4. D. McLean:Beryllium Metallurgy, pp. 3–14, Proc. Int. Conf., Grenoble, 1965, French University Press, 1966.

  5. P. G. Partridge:Met. Rev., 1967, vol. 12, pp. 169–94.

    CAS  Google Scholar 

  6. U. F. Kocks and D. G. Westlake:Trans. TMS-AIME, 1967, vol. 239, pp. 1107–09.

    CAS  Google Scholar 

  7. H. Conrad, G. London, and V. Damiano:Anisotropy in Single Crystal Refractory Compounds, pp. 153–216, Plenum, New York, 1968.

    Google Scholar 

  8. M. H. Yoo:Trans. TMS-AIME, 1969, vol. 245, pp. 2051–60.

    CAS  Google Scholar 

  9. 9. S. Mahajan and D. F. Williams:Int. Met. Rev., 1973, vol. 18, pp. 43–61.

    CAS  Google Scholar 

  10. H. J. Saxton and G. J. London:Beryllium Science and Technology, D. Webstor and G. J. London, eds., vol. 1, pp. 115–44, Plenum, New York, 1979.

    Google Scholar 

  11. K. A. Gschneidner, Jr.:Solid State Physics, F. Sietz and D. Turnbull, eds., vol. 16, pp. 275–446, 1964.

  12. J. Schmit and A. A. Lucas:Solid State Comm., 1972, vol. 11, pp.415–18.

    Article  CAS  Google Scholar 

  13. J. Schmit and A. A. Lucas:Solid State Comm., 1972, vol. 11, pp.419–22.

    Article  CAS  Google Scholar 

  14. V. L. Moruzzi, J. F. Janak, and A. R. Williams:Calculated Electronic Properties of Metals, Pergamon, New York, 1978.

    Google Scholar 

  15. S. F. Pugh:Philos. Mag. 1954, vol. 45, pp. 823–43.

    CAS  Google Scholar 

  16. G. Simmons and H. Wang:Single Crystals Elastic Constants and Calculated Aggregate Properties, A Handbook, 2nd ed., The M.I.T. Press, Cambridge, MA 1971.

    Google Scholar 

  17. J. R. Rice and R. Thomson:Philos. Mag., 1974, vol. 29, pp. 73–97.

    CAS  Google Scholar 

  18. G. I. Taylor:J. Inst. Met., 1938, vol. 62, p. 307.

    Google Scholar 

  19. R. von Mises:Z. Angew. Math. Mech., 1928, vol. 6, p. 85.

    Google Scholar 

  20. G. W. Groves and A. Kelly:Philos. Mag., 1963, vol. 8, pp. 877–87.

    CAS  Google Scholar 

  21. J. W. Hutchinson:Proc. R. Soc. London, 1976, vol. A348, pp.101–27.

    Google Scholar 

  22. J. W. Hutchinson:Met. Trans. A., 1977, vol. 8A, pp. 1465–69.

    Article  CAS  Google Scholar 

  23. M. H. Yoo and C. T. Wei:J. Appl. Phys., 1967, vol. 38, pp.4317–22.

    Article  CAS  Google Scholar 

  24. P. B. Price:Electron Microscopy and Strength of Crystals, G. Thomas and J. Washburn, eds.,pp. 41–130, Interscience, New York, 1963.

    Google Scholar 

  25. W. J. McG. Tegart:Philos. Mag., 1964, vol. 9, pp. 339–11.

    CAS  Google Scholar 

  26. J. Krasova and P. Kratochvil:Phys. Status Solidi, 1971, vol.7(a), pp. 255–61.

    CAS  Google Scholar 

  27. K. H. Adams, R. C. Blish, and T. Vreeland:Mater. Sci. Eng., 1967, vol. 2, pp. 201–07.

    Article  CAS  Google Scholar 

  28. R. C. Blish and T. Vreeland:J. Appl. Phys., 1969, vol. 40, pp.884–90.

    Article  Google Scholar 

  29. J. F. Stohr and J. P. Poirier:Philos. Mat., 1972, vol. 25, pp. 1313–29.

    CAS  Google Scholar 

  30. A. Akhtar:Scr. Metall., 1976, vol. 10, pp. 365–66.

    Article  CAS  Google Scholar 

  31. E. Tenckhoff:Z. Metallkd., 1972, vol. 63, pp. 192–97.

    CAS  Google Scholar 

  32. V. V. Damiano, G. J. London, and H. Conrad:Trans. TMS-AIME, 1968, vol. 242, pp.987–94.

    CAS  Google Scholar 

  33. R. L. Bell and R. W. Cahn:Proc. R. Soc. London, 1957, vol. 239, pp. 494–521.

    CAS  Google Scholar 

  34. H. S. Roesenbaum: Ref. 1, pp. 43–76.

  35. M. L. Kronberg:Acta Metall., 1961, vol. 9, pp. 970–72.

    Article  CAS  Google Scholar 

  36. P. B. Price:Philos. Mag., 1960, vol. 5, pp. 873–86.

    CAS  Google Scholar 

  37. G. P. Walters, C. M. van der Walt, and M. J. Makin:J. Nucl. Mater., 1964, vol. 11, pp. 335–40.

    Article  CAS  Google Scholar 

  38. J. C. Williams and M. J. Blackburn:Phys. Status Solidi, 1968, vol.25, pp.Kl-K3.

    Google Scholar 

  39. N. E. Paton and W. A. Backofen:Met. Trans., 1970, vol. 1, pp. 2839–74.

    CAS  Google Scholar 

  40. M. H. Yoo:Scr. Metall., 1968, vol. 2, pp. 537–40.

    Article  CAS  Google Scholar 

  41. L. J. Teutonico:Titanium Science and Technology, R. J. Jaffe and H. M. Burte, eds., vol. 2, pp. 1009–19, Plenum, New York, 1973.

    Google Scholar 

  42. M. A. Jaswon and D. B. Dove:Acta Cryst., 1957, vol. 10, pp. 14–18.

    Article  CAS  Google Scholar 

  43. B. A. Bilby and A. G. Crocker:Proc. R. Soc. London, 1965, vol. 288, pp. 240–55.

    Article  CAS  Google Scholar 

  44. M. H. Yoo and B. T. M. Loh: Nat. Bur. Stand. (U.S.) Spec. Publ. 317, J. A. Simmons, R. deWit, and R. Bullough, eds., pp. 479–93, 1970.

  45. R. E. Reed-Hill and E. P. Dahlberg:Electrochem. Technol., 1966, vol. 4, pp. 303–07.

    CAS  Google Scholar 

  46. H. Bergqvist and U. Bergenlid:J. Nucl. Mater, 1975, vol. 56, pp. 314–18.

    Article  CAS  Google Scholar 

  47. L. P. Odinokova:Russ. Metall. (Metally), 1967, no. 1, pp. 61–64.

  48. N. S. Stoloff and M. Gensamer:Trans. TMS-AIME, 1963, vol.227, pp. 70–80.

    CAS  Google Scholar 

  49. B. C. Wonsiewicz and W. A. Backofen:Trans. TMS-AIME, 1967, vol. 239, pp. 1422–31.

    CAS  Google Scholar 

  50. F. F. Lavrentyev, O. P. Salita, and Yu. G. Kazarov:Fiz. Met. Metalloved., 1968, vol. 26, pp. 348–60.

    Google Scholar 

  51. A. Moore and G. C. Ellis: U.S.A.E.C. CONF-170, 1963, pp. 102–20.

  52. G. J. London, V. V. Damiano, and H. Conrad:Trans. TMS-AIME, 1968, vol. 242, pp. 979–86.

    CAS  Google Scholar 

  53. S. Mendelson:J. Appl. Phys., 1970, vol. 41, pp. 1893–1910.

    Article  CAS  Google Scholar 

  54. M. O. Tucker:The Structure, Technology and Application of Titanium, Institute of Metals, London 1969.

    Google Scholar 

  55. D. M. Vallance and M. Bevis:Scr. Metall., 1970, vol. 4, pp681–84.

    Article  CAS  Google Scholar 

  56. M. H. Yoo and C. T. Wei:Philos. Mag., 1966, vol. 14, pp.573–87.

    CAS  Google Scholar 

  57. D. I. Tomsett and M. Bevis:Philos. Mag., 1969, vol. 19, pp.129–40.

    CAS  Google Scholar 

  58. D. I. Tomsett and M. Bevis:Philos. Mag., 1979, vol. 19, pp.533–37.

    Google Scholar 

  59. N. E. Paton, J. C. Williams, and G. P. Rauscher:Titanium Science and Technology, R. J. Jaffe and H. M. Burte, eds., vol. 2, pp.1049–69, Plenum, New York, 1973.

    Google Scholar 

  60. J. I. Dickson and C. Robin:Mater. Sci. Eng., 1973, vol. 11, pp.299–302.

    Article  Google Scholar 

  61. J. P. Poirier, J. Antolin, and J. M. Dupoy:Can. J. Phys., 1967, vol.45, pp.1221–24.

    CAS  Google Scholar 

  62. J. Antolin, J. P. Poirier, and J. M. Dupoy: Saclay Report CEA-R-2789, 1965.

  63. D. O. Hobson:Trans. TMS-AIME, 1968, vol. 242, pp. 1105–10.

    Google Scholar 

  64. J. A. Jensen and W. A. Backofen:Can. Met. Q., 1972, vol. 11, pp.39–51.

    CAS  Google Scholar 

  65. E. Tenckhoff:Met. Trans. A., 1978, vol. 9A, pp. 1401–12.

    CAS  Google Scholar 

  66. R. E. Reed-Hill:Trans. TMS-AIME, 1964, vol. 230, pp. 809–13.

    CAS  Google Scholar 

  67. R. W. Cahn:Acta Metall., 1973, vol. 1, pp. 49–70.

    Google Scholar 

  68. D. J. Burr and N. Thompson:Philos. Mag., 1965, vol. 12, pp.229–44.

    CAS  Google Scholar 

  69. B. Milulowski:Arch. Hutn., 1975, vol. 20, pp. 319–26.

    Google Scholar 

  70. G. L. Tuer and A. R. Kaufmann:The Metal Beryllium, ASM, Cleveland, OH, 1955, pp. 312–424.

    Google Scholar 

  71. J. J. Gilman:Fracture, B. L. Averback, D. K. Felbeck, G. T. Hahn, and D. A. Thomas, eds., pp. 193–224, The M.I.T. Press and John Wiley & Sons, New York, 1959.

    Google Scholar 

  72. M. H. Yoo:Scr. Metall, 1979, vol. 13, pp. 131–36.

    Article  CAS  Google Scholar 

  73. N. H. Macmillan and A. Kelly:Mater. Sci. Eng., 1972, vol. 10, pp.139–43.

    Article  CAS  Google Scholar 

  74. R. K. Govila:J. Less-Common Met., 1970, vol. 21, pp. 215–22.

    Article  CAS  Google Scholar 

  75. M. Wilhelm and F. Aldinger:Met. Trans. A., 1976, vol. 7A, pp.695–701.

    Article  CAS  Google Scholar 

  76. J. J. Gilman:J. Appl. Phys., 1960, vol. 31, pp. 2208–18.

    Article  CAS  Google Scholar 

  77. W. A. Miller, G. J. C. Carpenter, and G. A. Chadwick:Philos. Mag., 1969, vol. 19, pp. 305–19.

    CAS  Google Scholar 

  78. M. H. Yoo:Proc. of 5th. Int. Conf. on The Strength of Metals and Alloys, vol. 2, pp. 825–30, Aachen, West Germany, Aug. 27-31, 1979.

  79. B. A. Bilby and R. Bullough:Philos. Mag., 1953, vol. 45, pp.631–46.

    Google Scholar 

  80. A. W. Sleesyk:Acta Metall., 1962, vol. 10, pp. 705–25.

    Article  Google Scholar 

  81. J. G. Byrne: Ref. 1, pp. 397–98.

  82. J. Van der Planken and A. Deruyttere:Phys. Status Solidi, 1968, vol. 28, pp. K9-K10.

    Google Scholar 

  83. J. P. Hirth and J. Lothe:Theory of Dislocations, pp. 334–44, McGraw-Hill, New York, 1968.

    Google Scholar 

  84. P. Regnier and J. M. Dupoy:Phys. Status Solidi, 1970, vol. 39, pp.79–93.

    CAS  Google Scholar 

  85. M. Sob:Phys. Status Solidi, 1974, vol. 24(a), pp. K133–36.

    Google Scholar 

  86. W. Frank and B. Sestak:Scr. Metall., 1970, vol. 4, pp. 451–53.

    Article  CAS  Google Scholar 

  87. E. S. Fisher and C. J. Renken:Phys. Rev., 1964, vol. 135, pp.A482–94.

    Article  Google Scholar 

  88. F. Aldinger:Beryllium Science and Technology, D. Webster and G. J. London, eds., vol. 1, pp. 7–114, Plenum, New York, 1979.

    Google Scholar 

  89. E. J. Stofel and D. S. Wood:Fracture of Solids, D. C. Crucker and J. J. Gilman, eds., pp. 521–39, TMS-AIME Conf. vol. 20, Interscience Publ., New York, 1963.

    Google Scholar 

  90. E. Orowan:Dislocations in Metals, AIME, New York, 1965, p.116.

    Google Scholar 

  91. C. K. Chyung and C. T. Wei:Philos. Mag., 1976, vol. 15., pp.161–75.

    Google Scholar 

  92. V. L. Indenbom:Mechanical Twinning of Crystals, pp. 146–65, M. V. Klassen-Neklyudova, ed., Consultant Bureau, New York, 1964.

    Google Scholar 

  93. K. S. Sree Harsha:Met. Trans. A, 1981, vol. 12A, p. 365.

    Google Scholar 

  94. J. D. Eshelby:Philos. Mag., 1949, vol. 40, pp. 903–12.

    CAS  Google Scholar 

  95. H. Sasano and H. Kimura:J. Jpn. Inst. Met., 1977, vol. 41, pp.933–39.

    CAS  Google Scholar 

  96. M. H. Yoo: unpublished work.

  97. B. Reh and G. Hötzsch:Phys. Status Solidi, 1974, vol. 24(a), pp.K129–32.

    Google Scholar 

  98. J. Ferrante and J. R. Smith:Solid State Comm., 1977, vol. 23, pp.527–29.

    Article  CAS  Google Scholar 

  99. D. R. Thornburg and H. R. Piehler:Met. Trans. A., 1975, vol. 6A, pp. 1511–23.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Metals and Ceramics Division, Oak Ridge National Laboratory, 38730, Oak Ridge, TN

    M. H. Yoo (Senior Research Staff Member)

Authors
  1. M. H. Yoo
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yoo, M.H. Slip, twinning, and fracture in hexagonal close-packed metals. Metall Trans A 12, 409–418 (1981). https://doi.org/10.1007/BF02648537

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02648537

Keywords

Search

Navigation