Skip to main content
SpringerLink
Log in

Contour integral method for stress intensity factors of interface crack

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

A general Betti's reciprocal work theorem with interface cracks of a bimaterial is established in this paper, and a path independent contour integral method for the stress intensity factor (SIF) of the interface crack was obtained. When the stress and displacement fields in a specimen are calculated by the finite element method, the SIF K I and K II of interface cracks can be obtained immediately by a contour integral. Some solutions of interesting examples, such as two collinear interface cracks, are also given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M.L. Williams, Bulletin of the Seismological Society of America 49 (1959) 199–204.

    Google Scholar 

  2. G.P. Cherepanov, Izvestia AN SSR, OTN, Mekhananika i Mashin. 1 (1962) 131–137.

    Google Scholar 

  3. F. Erdogan, Journal of Applied Mechanics 30 (1963) 232–236.

    Google Scholar 

  4. F. Erdogan, Journal of Applied Mechanics 32 (1965) 403–410.

    Google Scholar 

  5. A.H. England, Journal of Applied Mechanics 32 (1965) 400–402.

    Google Scholar 

  6. J.R. Rice and G.C. Sih, Journal of Applied Mechanics 32 (1965) 418–423.

    Google Scholar 

  7. J.F. Yau, S.S. Wang and H.T. Corten, Journal of Applied Mechanics 47 (1980) 335–340.

    Google Scholar 

  8. P.P.L. Matos, R.M. McMeeking, P.G. Charalambides and M.D. Drory, International Journal of Fracture 40 (1989) 235–254.

    Google Scholar 

  9. J.F. Yau and S.S. Wang, Engineering Fracture Mechanics 20 (1984) 423–432.

    Google Scholar 

  10. N. Miyazaki, T. Ikeda, T. Soda and T. Munakata, Engineering Fracture Mechanics 45 (1993) 599–610.

    Google Scholar 

  11. R. Yukki and S.B. Cho, Engineering Fracture Mechanics 34 (1989) 179–188.

    Google Scholar 

  12. K.Y. Lin and J.W. Mar, International Journal of Fracture 12 (1976) 521–531.

    Google Scholar 

  13. S.T. Raveendra and P.K. Banerjee, Engineering Fracture Mechanics 40 (1991) 89–103.

    Google Scholar 

  14. M. Stern, E.B. Becker and R.S. Dunham, International Journal of Fracture 12 (1976) 359–368.

    Google Scholar 

  15. Z.L. Zhang and T.P.J. Mikkola, Fatigue and Fracture of Engineering Materials and Structures 15 (1992) 1041–1049.

    Google Scholar 

  16. F.H.K. Chen and R.T. Shield, Journal of Applied Mathematics and Physics 28 (1977) 1–10.

    Google Scholar 

  17. N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, 4th edn. Noordhoff, Groningen (1972).

    Google Scholar 

  18. G.C. Sih and E.P. Chen, in Mechanics of Fracture, vol. 6. Martinus Nijhoff Publishers (1981).

  19. M. Isida. In G.C. Sih (ed.), Methods of Analysis and Solutions of Crack Problems. Noordhoff Publishers (1973).

Download references

Author information

Authors and Affiliations

  1. Xi'an Jiaotong University, 710049, Xi'an, People's Republic of China

    X. X. Yang & Z. B. Kuang

Authors
  1. X. X. Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Z. B. Kuang
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, X.X., Kuang, Z.B. Contour integral method for stress intensity factors of interface crack. Int J Fract 78, 299–313 (1996). https://doi.org/10.1007/BF00032479

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00032479

Keywords

Search

Navigation