Skip to main content
SpringerLink
Log in

Direction of crack extension under general plane loading

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

Abstract

An explicit expression of the amount of elastic energy release for crack extension under general two dimensional loading is presented through linear elasticity theory. It is shown that the direction of crack extension under general plane loading can be obtained directly by the minimization of the potential energy with respect to the crack direction. The minimization process indicates that the crack extension direction provided by maximum stress criterion is the same as the derived from minimum potential energy.

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. F.Erdogan and G.C.Sih, ASME Journal of Basic Engineering 85 (1963) 519–527.

    Google Scholar 

  2. B.Cotterell, International Journal of Fracture Mechanics 5 (1969) 251–252.

    Google Scholar 

  3. J.G.Williams and P.D.Ewing, International Journal of Fracture Mechanics 8 (1972) 441–446.

    Google Scholar 

  4. I.Finnie and A.Saith, International Journal of Fracture Mechanics 9 (1973) 484–486.

    Google Scholar 

  5. G.C.Sih, in Mechanics of Fracture, vol. I, Noordhoff, Leiden (1973) Introductory Chapter.

    Google Scholar 

  6. G.C.Sih, International Journal of Fracture Mechanics 10 (1973) 305–321.

    Google Scholar 

  7. G.C.Sih, Engineering Fracture Mechanics 5 (1973) 365–377.

    Google Scholar 

  8. G.C.Sih, in Recent Advances in Engineering Science, vol. 6, T.S.Chang (ed.), Scientific Publishers, Inc., Boston (1975) 221–234.

    Google Scholar 

  9. G.C.Sih, Mechanics of Fracture, vol. I to VII, Martinus Nijhoff Publishers, The Netherlands (1973–1982).

    Google Scholar 

  10. G.C. Sih, Mechanics of Fracture Initiation and Propagation, Kluwer Academic Publishers (1991).

  11. C.H.Wu, ASME Journal of Applied Mechanics 45 (1978) 553–558.

    Google Scholar 

  12. J.L. Swedlow, Criteria for Growth of the Angled Crack, ASTM STP-601 (1975) 506–521.

  13. M.F. Kanninen and C.H. Popelar, Advanced Fracture Mechanics, Oxford University Press (1985).

  14. M. Shen and M.-H.H. Shen, Probability of Failure and Risk Assessment of Structure with Fatigue Crack, 34th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Part 3 (1993) 1670–1679.

Download references

Author information

Authors and Affiliations

  1. Department of Aeronautical and Astronautical Engineering, The Ohio State University, 43210, Columbus, Ohio, USA

    Minsheng Shen & M.-H. Herman Shen

Authors
  1. Minsheng Shen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M.-H. Herman Shen
    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

Shen, M., Herman Shen, MH. Direction of crack extension under general plane loading. Int J Fract 70, 51–58 (1994). https://doi.org/10.1007/BF00018135

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00018135

Keywords

Search

Navigation