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Plastic deformation of hafnium under uniaxial compression

Metallurgical and Materials Transactions A volume 28, pages 1479–1487 (1997)Cite this article

Abstract

The plastic behavior of polycrystalline hafnium (Hf) was investigated over a range of strain rates under uniaxial compression. Hafnium exhibited considerable ductility and a moderately rate-sensitive plastic behavior. The stress-strain response consisted of initial yielding followed by parabolic hardening. Microstructural observations on quasistatically deformed specimens revealed that yielding occurred by dislocation activity and that hardening was dominated by twinning on {1012} planes and by slip/twin interactions. A considerable reduction in dislocation and twinning activity was observed in specimens deformed at high strain rates. Failure occurred by shear localization and void growth and coalescence within the shear bands. Measurement of the temperature rise during high strain rate deformation was also made. From these measurements, the fraction of work converted to heat as a function of strain was determined and found to decrease with increasing strain.

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References

  1. A. Bose, H.R.A. Coque, and J. Lankford, Jr.: Int. J. Powder Metall., 1992, vol. 28 (4), pp. 383–94.

    CAS  Google Scholar 

  2. L.S. Magness and D. Kapoor: in Tungsten and Refractory Metals 2, Animesh Bose and Robert J. Dowding, eds., Metal Powder Industries Federation, Princeton, NJ, 1994, pp. 11–20.

    Google Scholar 

  3. D.E. Edelman, B.J. Pletka, and G. Subhash: in Tungsten and Refractory Metals 2, Animesh Bose and Robert J. Dowding, eds., Metal Powder Industries Federation, Princeton, NJ, 1994, pp. 227–34.

    Google Scholar 

  4. B.J. Pletka, G. Subhash, D.E. Edelman, and R.J. Dowding: in Tungsten and Refractory Metals 3, Animesh Bose and Robert J. Dowding, eds., Metal Powder Industries Federation, Princeton, NJ, 1995 pp. 201–08.

    Google Scholar 

  5. V. Vitek and M. Igarashi: Phil. Mag. A, 1991, vol. 63 (5), pp. 1059–75.

    Google Scholar 

  6. A. Serra and D.J. Bacon: Phil. Mag. A, 1991, vol. 63, p. 1001.

    CAS  Google Scholar 

  7. A. Serra, R.C. Pond, and D.J. Bacon: Acta Metall. Mater., 1991, vol. 39 (7), pp. 1469–80.

    Article  CAS  Google Scholar 

  8. R.A. Johnson: Phil. Mag. A, 1991, vol. 63 (5), pp. 865–72.

    CAS  Google Scholar 

  9. N.D. Diego and D.J. Bacon: Phil. Mag. A, 1991, vol. 63 (5), pp. 873–82.

    Google Scholar 

  10. F.D. Rosi, C.A. Dube, and B.H. Alexander: Trans. AIME, J. Met., 1953, vol. 2, pp. 257–65.

    Google Scholar 

  11. F.D. Rosi, F.C. Perkins, and L.L. Seigle: JOM, Trans. AIME, 1956, Feb., pp. 115–22.

  12. F.D. Rosi: JOM, Trans. AIME, 1954, Jan., pp. 58–69.

  13. E.D. Levine: Trans. TMS-AIME, 1966, vol. 236, pp. 1558–65.

    CAS  Google Scholar 

  14. A. De Crecy, A. Bourret, S. Naka, and A. Lasalmonie: Phil. Mag. A, 1983, vol. 47 (2), pp. 245–54.

    Google Scholar 

  15. S. Naka, L.P. Kubin, and C. Perrier: Phil. Mag. A, 1991, vol. 63 (5), pp. 1035–43.

    CAS  Google Scholar 

  16. M.A. Meyers, G. Subhash, B.K. Kad, and L. Prasad: Mech. Mater., 1994, vol. 17, pp. 175–93.

    Article  Google Scholar 

  17. G. Subhash: JOM, 1995, May, pp. 55–58.

  18. E.J. Rapperport and C.S. Hartley: Trans. TMS-AIME, 1960, vol. 218, pp. 869–77.

    Google Scholar 

  19. A. Akhtar and A. Teghtsoonian: Acta Metall., 1971, vol. 19, pp. 655–63.

    Article  CAS  Google Scholar 

  20. H. Numakura, Y. Minonishi, and M. Koiwa: Phil. Mag. A, 1991, vol. 63, pp. 1077–84.

    CAS  Google Scholar 

  21. A. Couret, D. Calliard, W. Puschl, and G. Schoeck: Phil. Mag. A, 1991, vol. 63 (5), pp. 1045–57.

    Google Scholar 

  22. A.M. Monti, A. Sarce, N. Smetniansky-De Grande, E.J. Savino, and C.N. Tome: Phil. Mag., 1991, vol. 63, pp. 925–36.

    CAS  Google Scholar 

  23. M.H. Yoo: Metall. Trans. A, 1981, vol. 12A, pp. 409–18.

    Google Scholar 

  24. M.H. Yoo and J.K. Lee: Phil. Mag. A, 1991, vol. 63 (5), pp. 987–1000.

    CAS  Google Scholar 

  25. L.P. Jones and W.B. Hutchinson: Acta Metall., 1981, vol. 29, pp. 951–68.

    Article  CAS  Google Scholar 

  26. P.S. Follansbee and G.T. Gray III, Metall. Trans. A, 1989, vol. 20A, pp. 863–74.

    CAS  Google Scholar 

  27. G.T. Gray III: in Twinning in Advanced Materials, M.H. Yoo and M. Wuttig, eds., TMS, Warrendale, PA, 1994, pp. 337–49.

    Google Scholar 

  28. S.G. Song and G.T. Gray III: Phil. Mag. A, 1995, vol. 71 (2), pp. 263–74.

    CAS  Google Scholar 

  29. S.G. Song and G.T. Gray III: Acta Metall. Mater, 1995, vol. 43 (6), pp. 2325–50.

    Article  CAS  Google Scholar 

  30. G. Das and T.E. Mitchell: Metall. Trans., 1973, vol. 4, pp. 1405–13.

    CAS  Google Scholar 

  31. J.G. Goodwin and H.E. Trout, Jr.: Trans. ASM, 1966, vol. 59, p. 384.

    CAS  Google Scholar 

  32. P.S. Follansbee: Metals Handbook, 9th ed., ASM, Metals Park, OH, 1985, vol. 8, pp. 198–203.

    Google Scholar 

  33. H. Kolsky: Proc. R. Soc. London, 1949, vol. B62, pp. 676–700.

    Google Scholar 

  34. U.S. Lindholm: J. Mech. Phys. Solids, 1964, vol. 12, pp. 317–35.

    Article  Google Scholar 

  35. K.A. Hartley, J. Duffy, and R.H. Hawley: J. Mech. Phys. Solids, 1987, vol. 35, pp. 283–301.

    Article  Google Scholar 

  36. A.T. Zhender and A.J. Rosakis: J. Mech. Phys. Solids, 1991, vol. 39 (3) pp. 385–415.

    Article  Google Scholar 

  37. M. Zhou, A.J. Rosakis, and G. Ravichandran: J. Mech. Phys. Solids, 1996, vol. 44 (6), pp. 981–1006.

    Article  CAS  Google Scholar 

  38. J.J. Mason, A.J. Rosakis, and G. Ravichandran: in Tungsten and Refractory Metals 2, S.-C. Chou, F.D. Barlett Jr., T.W. Wright, and K. Iyer, eds., Metal Powder Industries Federation Princeton, NJ, 1993, pp. 595–607.

    Google Scholar 

  39. J.J. Mason, A.J. Rosakis, and G. Ravichandran: Mech. Mater., 1994, vol. 17, pp. 135–45.

    Article  Google Scholar 

  40. J. Duffy and Y.C. Chi: Mater. Sci. Eng., 1992, vol. A157, pp. 195–210.

    CAS  Google Scholar 

  41. G. Subhash, Y.J. Lee, and G. Ravichandran: Acta Metall. Mater., 1994, vol. 42 (1), pp. 319–40.

    Article  CAS  Google Scholar 

  42. M.B. Bever, D.L. Holt, and A.L. Titchener: Progr. Mater. Sci., 1973, vol. 17, p. 1.

    Article  Google Scholar 

  43. G.I. Taylor and M.A. Quinney: Proc. R. Soc. London A, 1934, vol. 143, p. 307.

    Google Scholar 

  44. S.V. Kailas, Y.V.R.K. Prasad, and S.K. Biswas: Metall. Trans. A, 1993, vol. 24A, pp. 2513–20.

    CAS  Google Scholar 

  45. S.G. Song and G.T. Gray III: Metall. Mater. Trans. A, 1995, vol. 26A, pp. 2665–75.

    CAS  Google Scholar 

  46. H. Frost and M. Ashby: Deformation-Mechanism Maps, Pergamon Press, Oxford, United Kingdom, 1982.

    Google Scholar 

  47. CH.V. Kopetskiy, M.M. Myshlyayev, N.I. Novokhatskaya, and V.A. Yukhanov: Phys. Met. Metallogr., 1975, vol. 39 (1), pp. 164–74.

    Google Scholar 

  48. A.T. Churchman: Trans. TMS-AIME, 1960, vol. 218, pp. 262–67.

    CAS  Google Scholar 

  49. D. Hull: Fracture of Solids, Metallurgical Society Conf., D.C. Drucker and J.J. Gilman, eds., Interscience Publishers, NY, 1963, vol. 20, pp. 417–453.

    Google Scholar 

  50. K.S. Sree Harsha: Metall. Trans. A, 1981, vol. 12A, pp. 365–69.

    Google Scholar 

  51. S. Mahajan: Metall. Trans. A, 1981, vol. 12A, pp. 379–88.

    Google Scholar 

  52. S. Yadav: Ph.D. Thesis, Johns Hopkins University, Baltimore, MD, 1996.

    Google Scholar 

  53. A. Needleman and M. Ortiz: Int. J. Solids Struct., 1991, vol. 28 (7), pp. 859–77.

    Article  Google Scholar 

  54. B.J. Koeppel and G. Subhash: in Micromechanical Modeling and Damage Characterization of Advanced Materials, S.A. Meguid, ed., ASME, New York, NY, 1995, ASME-AMD-vol. 199, pp. 93–100.

    Google Scholar 

  55. R.W. Hertzberg: Deformation and Fracture Mechanics of Engineering Materials, 3rd ed., John Wiley & Sons, New York, NY, 1989, pp. 254–56.

    Google Scholar 

  56. M.F. Ashby and S.D. Hallam: Acta Metall., 1986, vol. 34, pp. 497–510.

    Article  CAS  Google Scholar 

  57. M.F. Ashby and C.G. Sammis: J. Geo. Phys., 1990, vol. 133, pp. 489–533.

    Google Scholar 

  58. S. Nemat-Nasser and H. Horii: J. Geophys. Res., 1982, vol. 87, pp. 6850–21.

    Article  Google Scholar 

  59. H. Horii and S. Nemat-Nasser: Phil. Trans. R. Soc., 1986, vol. A319, pp. 337–74.

    Google Scholar 

  60. G. Subhash and S. Nemat Nasser: J. Am. Ceram. Soc., 1993, vol. 76, pp. 153–65.

    Article  CAS  Google Scholar 

  61. J.W. Christian and S. Mahajan: Prog. Mater. Sci., 1995, vol. 39, pp. 1–157.

    Article  Google Scholar 

  62. M.H. Yoo, C.L. Fu, and J.K. Lee: J. Phys. III, 1991, vol. 1, pp. 1065–84.

    Article  CAS  Google Scholar 

  63. R.A. Jeffery and E. Smith: Phil. Mag., 1966, vol. 8, pp. 1163–68.

    Google Scholar 

  64. F.W. Vahldiek: J. Less-Common Met., 1969, vol. 19, pp. 83–92.

    Article  CAS  Google Scholar 

  65. G.T. Gray III, C.E. Morris, and A.C. Lawson: in Titanium 92: Science and Technology, F. Froes and I.L. Caplan, eds., TMS, Warrendale, PA, 1993, pp. 225–32.

    Google Scholar 

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Authors and Affiliations

  1. Mechanical Engineering-Engineering Mechanics Department, Michigan Technological University, 49931, Houghton, MI

    G. Subhash (Assistant Professor)

  2. Metallurgical and Materials Engineering Department, Michigan Technological University, 49931, Houghton, MI

    B. J. Pletka (Professor)

  3. the Graduate Aeronautical Laboratories, California Institute of Technology, 91125, Pasadena, CA

    G. Ravichandran (Associate Professor)

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  1. G. Subhash
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  2. B. J. Pletka
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  3. G. Ravichandran
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Subhash, G., Pletka, B.J. & Ravichandran, G. Plastic deformation of hafnium under uniaxial compression. Metall Mater Trans A 28, 1479–1487 (1997). https://doi.org/10.1007/s11661-997-0210-7

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  • DOI: https://doi.org/10.1007/s11661-997-0210-7

Keywords

  • Material Transaction
  • Shear Band
  • High Strain Rate
  • Hafnium
  • Transmission Electron Micro