Journal of Materials Science

, Volume 30, Issue 20, pp 5281–5286 | Cite as

Effects of residual stress on toughening of brittle polycrystals

  • D. K. M. Shum


The effects of residual stress on toughening of brittle polycrystalline materials, in the absence of microcracking, were investigated by considering the mode I stress intensity factor reduction at the tip of a stationary crack under combined applied and residual stress loading. Toughness enhancement associated with a number of model singular and non-singular residual stress fields was evaluated. The singular residual stress fields were used to model grain-sized thermal expansion anisotropy due to grain-orientation differences in a polycrystal. The numerical results indicate that residual stress can significantly toughen a stationary crack against initiation. For the same average value of residual stress, toughness enhancement due to singular residual stress fields is more substantial than that due to non-singular residual stress fields. Sample toughness enhancement results are presented for a single-phase polycrystal failing by intergranular fracture.


Brittle Residual Stress Thermal Expansion Stress Intensity Intensity Factor 
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  1. 1.
    J. W. Hutchinson, Acta Metall. 35 (1987) 1605.CrossRefGoogle Scholar
  2. 2.
    J. A. Kuszyk and R. C. Bradt, J. Am. Ceram. Soc. 56 (1973) 420.CrossRefGoogle Scholar
  3. 3.
    A. G. Evans, Acta Metall. 26 (1978) 1845.CrossRefGoogle Scholar
  4. 4.
    D. R. Clarke, ibid. 28 (1980) 913.CrossRefGoogle Scholar
  5. 5.
    R. W. Rice, R. C. Pohanka and W. J. McDonough, J. Am. Ceram. Soc. 63 (1980) 703.CrossRefGoogle Scholar
  6. 6.
    V. Tvergaard and J. W. Hutchinson, ibid. 71 (1988) 157.CrossRefGoogle Scholar
  7. 7.
    H. Tada, P. C. Paris and G. R. Irwin, “Handbook for stress analysis of cracks”, 2nd Edn (Del Research, 1985).Google Scholar
  8. 8.
    M. V. Swain, J. Mater. Sci. Lett. 5, (1986) 1313.CrossRefGoogle Scholar
  9. 9.
    P. L. Swanson, C. J. Fairbanks, B. R. Lawn, Y. W. Mai and B. J. Hockey J. Am. Ceram. Soc. 70 (1987) 279.CrossRefGoogle Scholar
  10. 10.
    G. Vekinis, M. F. Ashby and P. W. R. Beaumont, “Direct Observation of Fracture and the Damage Mechanisms of Ceramics”, Cambridge University Report CUED/C-MATS/TR 148 (1988).Google Scholar
  11. 11.
    S.W. Freiman, Ceram. Bull. 67 (1988) 392.Google Scholar

Copyright information

© Chapman & Hall 1995

Authors and Affiliations

  • D. K. M. Shum
    • 1
  1. 1.Saint-Gobain/Norton Industrial Ceramics CorporationNorthboroUSA

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