Journal of Materials Science

, Volume 27, Issue 1, pp 68–76 | Cite as

Crack deflection by rod-shaped inclusions

  • Yih -Cherng Chiang


This paper presents a model for crack deflection around rod-shaped inclusions. In this analysis both a stress intensity factor approach and a crack surface area approximation are used. The local stress intensity factors of a deflected crack along two adjacent rod-shaped inclusions are derived first. Then, the path of advancement of the deflected crack front along the inclusions can be determined. Knowledge of the crack path provides the basis for evaluating the deflection-induced reduction in strain energy release rate as well as the basis for calculating the deflected crack surface area. The analytical predictions are compared with the theoretical results of Faber and Evans and the differences between these two analyses are discussed.


Release Rate Stress Intensity Factor Energy Release Energy Release Rate Local Stress 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M. Gell andE. Smith,Acta Metall 15 (1967) 253.Google Scholar
  2. 2.
    K. T. Faber andA. G. Evans,ibid. 31 (1983) 565.Google Scholar
  3. 3.
    Idem, ibid. 31 (1983) 577.Google Scholar
  4. 4.
    K. P. Gadkaree andK. Chyung,Amer. Ceram. Soc. Bull. 65 (1986) 370.Google Scholar
  5. 5.
    N. Claussen, K. L. Weisskopf andM. Ruhle, in “Fracture Mechanics of Ceramics”, Vol. 7 (Plenum, New York, 1986) pp. 75–86.Google Scholar
  6. 6.
    P. F. Becher, T. N. Tiegs, J. C. Ogle andW. H. Warwick,ibid. pp. 61–73.Google Scholar
  7. 7.
    E. Tani, S. Umebayashi, K. Kishi, K. Kobayashi andM. Nishijima,Amer. Ceram. Soc. Bull. 65 (1986) 1311.Google Scholar
  8. 8.
    C. W. Li andJ. Yamanis,Ceram. Engng Sci. Proc. 10 (7–8) (1989).Google Scholar
  9. 9.
    B. R. Lawn andT. R. Wilshaw, “Fracture of Brittle Solids” (Cambridge University Press, Cambridge, 1975).Google Scholar
  10. 10.
    P. P. Bansal andA. J. Ardell,Metallography 5 (1972) 97.Google Scholar
  11. 11.
    B. Cotterell andJ. R. Rice,Int. J. Fracture 16 (1980) 155.Google Scholar
  12. 12.
    K. K. Lo,J. Appl. Mech. 45 (1978) 797.Google Scholar
  13. 13.
    K. Kageyama andT. W. Chou,Int. J. Fracture in press.Google Scholar

Copyright information

© Chapman & Hall 1992

Authors and Affiliations

  • Yih -Cherng Chiang
    • 1
  1. 1.Center for Composite Materials and Department of Mechanical EngineeringUniversity of DelawareNewarkUSA

Personalised recommendations