Skip to main content
SpringerLink
Log in

Plastic Deformation at the Tip of a Tensile Crack in a Non-linear Kinematic Hardening Material

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

Abstract

The plastic deformation at the tip of a tensile crack in a non-linear kinematic hardening material under small-scale yielding conditions is investigated, with a view to quantifying the functional dependence of crack-tip plastic blunting size on material's strain hardening parameters. It is shown by dimensional analysis that, for materials being characterised by the Armstrong-Frederick non-linear kinematic hardening rule, the crack-tip blunting parameter depends parametrically on only two non-dimensional parameters; the functional dependence is determined using a parametric finite element analysis.

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

  • Armstrong, P. J. and Frederick, C. O. (1966) A mathematical representation of the multiaxial Bauschinger effect. C.E.G.B. Report. RD/B/NN 73.

  • Hutchinson. J. W. (1968) Singular behaviour at the end of a tensile crack in a hardening material, J. Mech. Phy.SolidsVol. 16,13-31.

    Google Scholar 

  • Hutchinson, J. W. (1983) ‘Fundamentals of the phenomenological theory’ of non-linear fracture mechanics, J. Applied MechanicsVol.50. 1042-1051.

    Google Scholar 

  • Rice, J. R. (1968) Mathematical analysis in the mechanics of fracture. In: Fracture: An Advanced Treatise(H. Liebowitz, ed.). Vol. II, 191-311, Academic Press, New York.

    Google Scholar 

  • Shih, C. F., 1981. Relationships between the J-integral and the crack opening displacement for stationary and extending cracks, J. Mech. Phys. SolidsVol-29, 305-326.

    Google Scholar 

  • Wang, C. H. and Rose. L. R. F. (1999) Crack-tip plastic blunting under gross section yielding and implications for modelling physically short cracks, Fatigue and Fracture of Engineering Materials and Structures.Vol.22.761-773.

    Google Scholar 

  • Willis (1997) Asymptotic analysis in fracture. Advances in Fracture ResearchVol.4, Edited by B.L. Karihaloo, Y-W. Mai, M. 1. Ripley, and R. O, Ritchie. Pergamon Press, Oxford.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Aeronautical and Maritime Research Laboratory, 506 Lorimer Street, Fishermans Bend, VIC, 3207, Australia

    C.H. Wang

  2. Aerostructures Technologies Pty Ltd, 506 Lorimer Street, Fishermans Bend, VIC, 3207, Australia

    M.W. Goldstraw

Authors
  1. C.H. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M.W. Goldstraw
    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

Wang, C., Goldstraw, M. Plastic Deformation at the Tip of a Tensile Crack in a Non-linear Kinematic Hardening Material. International Journal of Fracture 102, 39–45 (2000). https://doi.org/10.1023/A:1007684316264

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007684316264

Keywords

Search

Navigation