Skip to main content
SpringerLink
Log in

Thin plate bending of dissimilar half-planes with interface debonding emanating from an elliptical hole

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

Abstract

The problem of thin plate bending of two bonded dissimilar half-planes containing an elliptical hole on the interface with debonding emanating on both sides is presented. The external load is a uniformly distributed bending moment applied at infinity perpendicular to the interface. An analytical solution is obtained using the complex stress function approach and the rational mapping function technique. Stress distributions on the interface, the boundaries of the hole and in the vicinity of the debonded tips are obtained. The stress intensity of debonding is obtained for aribitrary lengths of debonding, all possible hole dimensions and rigidity ratios.

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.C. Sih, Handbook of Stress Intensity Factors, Lehigh University, USA (1972).

    Google Scholar 

  3. G.P. Cherepanov, Mechanics of Brittle Fracture, McGraw-Hill, New York (1979) Chapter 3.8 and 9.

    Google Scholar 

  4. A. Piva and E. Viola, Engineering Fracture Mechanics 13 (1980) 143–174.

    Article  Google Scholar 

  5. G.C. Sih and E.P. Chen, Cracks in Composite Materials, Martinus Nijhoff Publishers, The Hague, Netherland (1981).

    Book  Google Scholar 

  6. Y. Murakami et al., Stress Intensity Factors Handbook, Pergamon Press, Oxford (1987).

    Google Scholar 

  7. J.R. Rice, Transactions of the ASME Series E, Journal of Applied Mechanics 55 (1988) 98–103.

    Article  Google Scholar 

  8. J.R. Rice and G.C. Sih, Transactions of the ASME Series E, Journal of Applied Mechanics 32 (1965) 418–423.

    Article  Google Scholar 

  9. N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity. Noordhoff, Groningen (1963).

    Google Scholar 

  10. F. Erdogan, Transactions of the ASME Series E, Journal of Applied Mechanics 30 (1963) 232–236.

    Article  Google Scholar 

  11. F. Erdogan, Transactions of the ASME Series E, Journal of Applied Mechanics, 32 (1965) 403–410.

    Article  Google Scholar 

  12. F. Erdogan, Transactions of the ASME Series E, Journal of Applied Mechanics, 32 (1965) 829–836.

    Article  Google Scholar 

  13. A.H. England, Transactions of the ASME Series E, Journal of Applied Mechanics 32 (1965) 400–402.

    Article  Google Scholar 

  14. A.H. England, Complex Variable Methods in Elasticity, John Wiley and Sons, U.K. (1971).

    Google Scholar 

  15. T.W. Chou and G.P. Hirth, Journal of Composite Materials 4 (1970) 102–112.

    Article  Google Scholar 

  16. T.L. Sham and H.F. Bueckner, Transactions of the ASME Series E, Journal of Applied Mechanics 55 (1988) 596–603.

    Article  Google Scholar 

  17. F. Erdogan, in Mechanics Today, Vol. 4, S. Nemat-Nasser (ed.) Pergamon Press, New York (1978) Chapter 1.

    Google Scholar 

  18. F. Erdogan and G.D. Gupta, International Journal of Solids and Structures 7 (1971) 39–61.

    Article  Google Scholar 

  19. F. Erdogan and G.D. Gupta, Transactions of the ASME Series E, Journal of Applied Mechanics 38 (1971) 937–941.

    Article  Google Scholar 

  20. V.L. Hein and F. Erdogan, International Journal of Fracture 7, No. 3 (1971) 317–330.

    Google Scholar 

  21. T.S. Cook and F. Erdogan, International Journal of Engineering Sciences 10 (1972) 677–697.

    Article  Google Scholar 

  22. S.G. Sawyer and R.B. Anderson, Engineering Fracture Mechanics 4 (1972) 605–616.

    Article  Google Scholar 

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

    Google Scholar 

  24. H. Tottenham, Developments in Boundary Element Methods, P.K. Banerjee and R. Butterfield (eds.), Vol. 1, Applied Science, London (1979) 173–205.

    Google Scholar 

  25. R. Yuuki and S.B. Cho, Engineering Fracture Mechanics 30 (1989) 179–188.

    Google Scholar 

  26. F. Erdogan, Engineering Fracture Mechanics 4 (1972) 811–840.

    Article  Google Scholar 

  27. F. Erdogan and V. Biricikoglu, International Journal of Engineering Sciences 11 (1973) 745–766.

    Article  Google Scholar 

  28. J.G. Goree and W.A. Venezia, International Journal of Engineering Sciences 15 (1977) 1–17.

    Article  Google Scholar 

  29. J.G. Goree and W.A. Venezia, International Journal of Engineering Sciences 15 (1977) 19–27.

    Article  Google Scholar 

  30. M. Isida and H. Noguchi, Transactions of the Japan Society of Mechanical Engineers 49 (1983) 36–45 (in Japanese).

    Article  Google Scholar 

  31. C.F. Shih and R.J. Asaro, Transactions of the ASME Series E Journal of Applied Mechanics 55 (1988) 299–316.

    Article  Google Scholar 

  32. N. Hasebe, M. Okumura and T. Nakamura, Journal of Engineering Mechanics 115, No. 6 (1989) 1137–1149.

    Article  Google Scholar 

  33. N. Hasebe, M. Okumura and T. Nakamura, Journal of Engineering Mechanics, 116:9 (1990) 2017–2034.

    Article  Google Scholar 

  34. N. Hasebe, M. Okumura and T. Nakamura, Journal of Engineering Mechanics, 116:12 (1990) 2722–2737.

    Article  Google Scholar 

  35. N. Hasebe, M. Okumura and T. Nakamura, Transactions of the ASME Series E, Journal of Applied Mechanics 114 (1992) 77–83.

    Article  Google Scholar 

  36. M.L. Williams, Transactions of the ASME Series E, Journal of Applied Mechanics 28 (1961) 78–82.

    Article  Google Scholar 

  37. G.C. Sih, P.C. Paris and F. Erdogan, Transactions of the ASME Series E, Journal of Applied Mechanics 29 (1962) 306–312.

    Article  Google Scholar 

  38. G.C. Sih and J.R. Rice, Transactions of the ASME Series E, Journal of Applied Mechanics 31 (1964) 477–482.

    Article  Google Scholar 

  39. G.C. Sih, Proceedings of the First International Conference on Fracture, Vol. 1 (1965) 391–409.

    Google Scholar 

  40. N. Hasebe and M. Salama, Archive of Applied Mechanics 64 (1994) 423–434.

    Google Scholar 

  41. N. Hasebe and M. Salama, Proceedings of The Fourth International Conference on Residual Stresses, Society For Experimental Mechanics, Baltimore, Maryland, USA (1994) 902–1001.

  42. N. Hasebe and M. Salama, Archive of Applied Mechanics (1994) (in press).

  43. N. Hasebe, S. Tsutsui and T. Nakamura, Transactions of the ASME Series E, Journal of Applied Mechanics 55 (1988) 574–579.

    Article  Google Scholar 

  44. G.N. Savin, Stress Concentration Around Holes, Pergamon Press, Great Britain (1961).

    Google Scholar 

  45. N. Hasebe and J. Iida, Engineering Fracture Mechanics 11 (4) (1979) 645–652.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, 466, Nagoya, Japan

    Mohamed Salama & Norio Hasebe

Authors
  1. Mohamed Salama
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Norio Hasebe
    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

Salama, M., Hasebe, N. Thin plate bending of dissimilar half-planes with interface debonding emanating from an elliptical hole. Int J Fract 74, 199–218 (1996). https://doi.org/10.1007/BF00033828

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00033828

Keywords

Search

Navigation