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Crack growth by grain boundary cavitation in the transient and extensive creep regimes

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Abstract

Crack growth due to cavity growth and coalescence along grain boundaries is analyzed under transient and extensive creep conditions in a compact tension specimen. Account is taken of the finite geometry changes accompanying crack tip blunting. The material is characterized as an elastic-power law creeping solid with an additional contribution to the creep rate arising from a given density of cavitating grain boundary facets. All voids are assumed present from the outset and distributed on a given density of cavitating grain boundary facets. The evolution of the stress fields with crack growth under three load histories is described in some detail for a relatively ductile material. The full-field plane strain finite element calculations show the competing effects of stress relaxation due to constrained creep, diffusion and crack tip blunting, and of stress increase due to the instantaneous elastic response to crack growth. At very high crack growth rates the Hui-Riedel fields dominate the crack tip region. However, the high growth rates are not sustained for any length of time in the compact tension geometry analyzed. The region of dominance of the Hui-Riedel field shrinks rapidly so that the near-tip fields are controlled by the HRR-type field shortly after the onset of crack growth. Crack growth rates under various conditions of loading and spanning the range of times from small scale creep to extensive creep are obtained. We show that there is a strong similarity between crack growth history and the behaviour of the C(t) and C t parameters, so that crack growth rates correlate rather well with C(t) and C t .A relatively brittle material is also considered that has a very different near-tip stress field and crack growth history.

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References

  1. H. Riedel, Fracture at High Temperatures, Springer-Verlag Berlin, Heidelberg (1987).

    Google Scholar 

  2. H. Riedel, in Advances in Fracture Research, Proceedings of ICF7, 2 (1989) 1495–1523.

  3. A. Saxena, in Fracture Mechanics: Microstructure and Micromechanisms, American Society of Metals (1989) 283–334.

  4. J.W. Hutchinson, Journal of Applied Mechanics 50 (1983) 1042–1051.

    Google Scholar 

  5. D.R. Hayhurst, P.R. Brown and C.J. Morrison, Philosophical Transactions of the Royal Society of London A311 (1984) 131–158.

    Google Scholar 

  6. D.R. Hayhurst, F.A. Leckie, in Mechanical Behavior of Materials, Proceedings of ICM4, J. Carlsson and N.G. Ohlson (eds.), Vol. 2 (1984) 1195–1212.

  7. L.M. Kachanov, The Theory of Creep, English translation edited by A.J. Kennedy, Boston Spa, Wetherby (1960).

  8. J.W. Hutchinson, Acta Metallurgica 31 (1983) 1079–1088.

    Google Scholar 

  9. V. Tvergaard, Acta Metallurgica 32 (1984) 1990–1997.

    Google Scholar 

  10. V. Tvergaard, Journal of the Mechanics and Physics of Solids 32 (1984) 373–393.

    Google Scholar 

  11. V. Tvergaard, Mechanics of Materials 4 (1985) 181–196.

    Google Scholar 

  12. V. Tvergaard, International Journal of Fracture 31 (1986) 183–209.

    Google Scholar 

  13. F.Z. Li, A. Needleman and C.F. Shih, International Journal of Fracture 38 (1988) 273.

    Google Scholar 

  14. A. Needleman, in Plasticity of Metals at Finite Strain: Theory, Computation and Experiment, E.H. Lee and R.L. Mallett (eds.), Stanford University, Stanford, CA (1982) 387–436.

    Google Scholar 

  15. B.F. Dyson, Metal Science 10 (1976) 349–353.

    Google Scholar 

  16. J.R. Rice, Acta Metallurgica 29 (1981) 675–681.

    Google Scholar 

  17. A. Needleman and J.R. Rice, Acta Metallurgica 28 (1980) 1312–1315.

    Google Scholar 

  18. T.-L. Sham and A. Needleman, Acta Metallurgica 31 (1983) 919–926.

    Google Scholar 

  19. D. Peirce, C.F. Shih and A. Needleman, Computers and Structures 18 (1984) 875–878.

    Google Scholar 

  20. V. Tvergaard, Journal of the Mechanics and Physics of Solids 30 (1982) 399–425.

    Google Scholar 

  21. J.W. Hutchinson, Acta Metallurgica 31 (1983) 1079–1088.

    Google Scholar 

  22. J.W. Hutchinson, Journal of the Mechanics and Physics of Solids 16 (1968) 13–31.

    Google Scholar 

  23. J.R. Rice and G.F. Rosengren, Journal of the Mechanics and Physics of Solids 16 (1968) 1–12.

    Google Scholar 

  24. J.L. Bassani and F.A. McClintock, International Journal of Solids and Structures 17 (1981) 467–476.

    Google Scholar 

  25. H. Riedel and J.R. Rice, in Fracture Mechanics: Twelfth Conference, STP 700, American Society for Testing and Materials, Philadelphia (1980) 112–130.

    Google Scholar 

  26. K. Ohji, K. Ogura and S. Kubo, Journal of the Society of Material Science (Japan) 29 (1980) 465–471 (in Japanese).

    Google Scholar 

  27. R. Ehlers and H. Riedel, in Advances in Fracture Research, D. Francois (ed.), ICF-5, Cannes, France (1981) 691–698.

  28. F.Z. Li, A. Needleman and C.F. Shih, International Journal of Fracture 36 (1988) 163–186.

    Google Scholar 

  29. J.R. Rice, Journal of Applied Mechanics 35 (1968) 379–386.

    Google Scholar 

  30. K. Ohji, K. Ogura and S. Kubo, Preprint of Japanese Society of Mechanical Engineers, No. 640-11 (1974) 207 (in Japanese).

  31. J.D. Landes and J.A. Begley, in Mechanics of Crack Growth, STP 590, American Society for Testing and Materials, Philadelphia (1976) 128–148.

    Google Scholar 

  32. K.M. Nikbin, G.A. Webster and C.E. Turner, in Cracks and Fracture, STP 601, American Society for Testing and Materials, Philadelphia (1976) 47–62.

    Google Scholar 

  33. V. Kumar, M.D. German and C.F. Shih, An engineering approach for elastic-plastic fracture analysis. EPRI NP-1931, Electric Power Research Institute, Palo Alto, California (1981).

    Google Scholar 

  34. A. Saxena, in Fracture Mechanics: Seventeenth Volume, STP 905, American Society for Testing and Materials, Philadelphia (1986) 185–201.

    Google Scholar 

  35. J.L. Bassani, D.E. Hawk and A. Saxena, in Nonlinear Fracture Mechanics: Vol. 1-Time-Dependent Fracture, ASTM STP 995 (1989) 7–26.

  36. J.L. Bassani and C.S. Liu, The correlation of transient crack growth under small scale creep conditions. To be published.

  37. C.Y. Hui and H. Riedel, International Journal of Fracture 17 (1981) 409–425.

    Google Scholar 

  38. C.Y. Hui, in Elastic-Plastic Fracture: Vol. 1-Inelastic Crack Analysis, ASTM STP 803 (1983) 573–593.

  39. H. Riedel and W. Wagner, in Advances in Fracture Research, D. Francois (ed.), ICF-5, Cannes, France (1981) 683-690.

  40. H. Riedel, International Journal of Fracture 42 (1990) 173–188.

    Google Scholar 

  41. F.H. Wu, J.L. Bassani and V. Vitek, Journal of the Mechanics and Physics of Solids 34 (1986) 455–475.

    Google Scholar 

  42. J.L. Bassani, D.E. Hawk and F.H. Wu, in Nonlinear Fracture Mechanics: Vol. 1-Time-Dependent Fracture, ASTM STP 995 (1989) 68–95.

  43. C.Y. Hui and V. Banthia, International Journal of Fracture 25 (1984) 53–67.

    Google Scholar 

  44. C.Y. Hui and K.C. Wu, International Journal Fracture 31 (1986) 3–16.

    Google Scholar 

  45. R.A. Ainsworth and P.J. Budden, Crack tip fields under on-steady creep conditions ii: estimates of associated crack growth. CEGB Report RD/B/6006/R88 (1988).

  46. K. Watanabe, S. Tani, S. Yoshioka and Y. Yabe, International Journal of Fracture 39 (1989) 287–300.

    Google Scholar 

  47. K.J. Hsia, A.S. Argon and D.M. Parks, Mechanics of Materials, 11 (1991) 19–42.

    Google Scholar 

  48. H. Tada, P.C. Paris and G.R. Irwin, The Stress Analysis of Cracks Handbook, Del Research Corporation, Hellertown, PA (1973).

    Google Scholar 

  49. J.D. Eshelby, in Progress in Solid State Physics, Vol. 3, F. Seitz and D. Turnbull (eds.), Academic Press, New York (1956) 79–144.

    Google Scholar 

  50. F.Z. Li, C.F. Shih and A. Needleman, Engineering Fracture Mechanics 21 (1985) 405–421.

    Google Scholar 

  51. H. Riedel and V. Detampel, International Journal of Fracture 33 (1987) 239–262.

    Google Scholar 

  52. C.-P. Leung, D.L. McDowell and A. Saxena, International Journal of Fracture 36 (1988) 275–289

    Google Scholar 

  53. A. Saxena, private communication (1990).

  54. K.J. Hsia, A.S. Argon and D.M. Parks, in Proceedings of the International Conference on Creep in Engineering Materials and Structures, to be published.

  55. V. Tvergaard, Acta Metallurgica 35 (1987) 923–933.

    Google Scholar 

  56. D.E. Hawk and J.L. Bassani, Journal of the Mechanics and Physics of Solids 34 (1986) 191–212.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mechanics, Chinese Academy of Sciences, Beijing, People's Republic of China

    T. C. Wang

  2. Division of Engineering, Brown University, 02912, Providence, Rhode Island, USA

    C. F. Shih & A. Needleman

Authors
  1. T. C. Wang
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  2. C. F. Shih
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  3. A. Needleman
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Visiting Professor, Brown University, August 1988 through December 1989.

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Wang, T.C., Shih, C.F. & Needleman, A. Crack growth by grain boundary cavitation in the transient and extensive creep regimes. Int J Fract 52, 159–189 (1991). https://doi.org/10.1007/BF00034903

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  • DOI: https://doi.org/10.1007/BF00034903

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