International Journal of Fracture

, Volume 76, Issue 3, pp 279–291 | Cite as

Interaction between an interface crack and a parallel subinterface crack

  • L.-G. Zhao
  • Y.-H. Chen
Article

Abstract

In this paper, the pseudo-traction method addressed thoroughly in homogeneous cases is combined with the edge dislocation method to solve the interaction problem of an interface crack with a parallel subinterface crack. After deriving the fundamental solutions for a typical interface crack loaded by the normal and tangential concentrated tractions on both crack surfaces and the fundamental solutions for an edge dislocation beneath the interface, the interaction problem is reduced to a system of singular integral equations which can be solved numerically with the aid of the Chebyshev polynomial technique. Numerical results for the stress intensity factors are shown in the figures in which six kinds of material combinations presented by Hutchinson et al. [1] are considered.

Keywords

Stress Intensity Factor Energy Release Rate Interface Crack Edge Dislocation Singular Integral Equation 
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.

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References

  1. 1.
    J.W., Hutchinson, M.E., Mear and J.R., Rice, Journal of Applied Mechanics 56 (1989) 828–832.CrossRefGoogle Scholar
  2. 2.
    M.L., Williams, Bulletin of the Seismological Society of America 49 (1959) 199–204.Google Scholar
  3. 3.
    G.C., Sih and J.R., Rice, Journal of Applied Mechanics 31 (1964) 477–482.CrossRefGoogle Scholar
  4. 4.
    A.H., England, Journal of Applied Mechanics 32 (1965) 400–402.CrossRefGoogle Scholar
  5. 5.
    F., Erdogan, Journal of Applied Mechanics 32 (1965) 403–410.CrossRefGoogle Scholar
  6. 6.
    B.M., Malyshev and R.L., Salganik, International Journal of Fracture 1 (1965) 114–128.Google Scholar
  7. 7.
    J.R., Rice and G.C., Sih, Journal of Applied Mechanics 32 (1965) 114–128.Google Scholar
  8. 8.
    J.R., Rice, Journal of Applied Mechanics 55 (1988) 98–103.CrossRefGoogle Scholar
  9. 9.
    M., Comninou, Engineering Fracture Mechanics 37 (1990) 197–208.CrossRefGoogle Scholar
  10. 10.
    H., Lu and T.J., Lardner, Journal of Applied Mechanics 58 (1991) 911–918.Google Scholar
  11. 11.
    T.Y., Zhang and S., Lee, Engineering Fracture Mechanics 44 (1993) 539–544.CrossRefGoogle Scholar
  12. 12.
    M.Y., He and J.W., Hutchinson, International Journal of Solids and Structures 25 (1989) 1053–1067.CrossRefGoogle Scholar
  13. 13.
    M.Y., He and J.W., Hutchinson, Journal of Applied Mechanics 56 (1989) 270–278.CrossRefGoogle Scholar
  14. 14.
    H., Lu and T.J., Larder, International Journal of Solids and Structures 29 (1992) 669–688.CrossRefGoogle Scholar
  15. 15.
    Z., Suo and J.W., Hutchinson, International Journal of Solids and Structures 25 (1989) 1337–1353.CrossRefGoogle Scholar
  16. 16.
    M.D., Thouless, A.G., Evans, M.F., Ashby and J.W., Hutchinson, Acts Metallurgica 36 (1987) 1333–1341.CrossRefGoogle Scholar
  17. 17.
    H., Horri and S., Nemat-Nasser, International Journal of Solids and Structures 21 (1985) 731–745.CrossRefGoogle Scholar
  18. 18.
    S.X., Gong and H., Horri, Journal of the Mechanics and Physics of Solids 37 (1989) 27–46.CrossRefGoogle Scholar
  19. 19.
    Y.Z., Chen, Engineering Fracture Mechanics 20 (1984) 591–597.CrossRefGoogle Scholar
  20. 20.
    Y.Z., Chen, Engineering Fracture Mechanics 20 (1984) 767–776.CrossRefGoogle Scholar
  21. 21.
    Y.H., Chen and N., Hasebe, International Journal of Solids and Structures 31 (1994) 1877–1890.CrossRefGoogle Scholar
  22. 22.
    F., Erdogan, G.D., Gupta and T.S., Cook, in Mechanics of Fracture, G.C., Sih (ed.) vol. 1, Noordhoff, Groningen (1972) 368–425.Google Scholar
  23. 23.
    N.I., Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity, Noordhoff, Holland (1953).Google Scholar
  24. 24.
    Z., Suo, International Journal of Solids and Structures 25 (1989) 1133–1142.CrossRefGoogle Scholar
  25. 25.
    T.Y., Zhang and J.C.M., Li, Journal of Applied Physics 72 (1992) 2215–2226.CrossRefGoogle Scholar
  26. 26.
    Y.E., Murakami, Stress Intensity Factors Handbook, vol. 1, Pergamon Press, Beijing (1989) 493–494.Google Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • L.-G. Zhao
    • 1
  • Y.-H. Chen
    • 1
  1. 1.Institute of Engineering MechanicsXi'an Jiao Tong UniversityXi'an, Shaanxi ProvincePeople's Republic of China

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