Skip to main content
Log in

A dynamic analysis of unstable crack propagation and arrest in the DCB test specimen

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

Abstract

A simple analytical model is developed to accompany experimental work on rapid crack propagation and arrest in the DCB test specimen. The present work extends the beam-on-elastic foundation model used previously by taking account of shear deformation and of both translational and rotary inertia. Crack speeds predicted with the model are found to be in good agreement with the constant-speed behavior observed experimentally. It is demonstrated that kinetic energy makes an important contribution to maintaining unstable crack propagation and to crack arrest.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M.F. Kanninen,Int. J. Fracture Mech., 9 (1973) 83.

    Google Scholar 

  2. G.T. Hahn, R.G. Hoagland, M.F. Kanninen and A.R. Rosenfield,Proceedings of the Conference on Dynamic Crack Propagation, Noordhoff Int. Pub., Leyden, The Netherlands, in press. (1973).

    Google Scholar 

  3. M.F. Kanninen, A.R. Rosenfield, and R.G. Hoagland,Deformation and Fracture of High Polymers, H. Kaushcet al. (editors), Plenum Press, New York (1973) 471.

    Google Scholar 

  4. G. T. Hahn, R. G. Hoagland, M. F. Kanninen and A. R. Rosenfield,Third International Conference on Fracture, Munich, Germany (April, 1973).

  5. G.T. Hahn, R.G. Hoagland, A.R. Rosenfield and R. Sejnoha,Met. Trans., 5 (1974) 475.

    Google Scholar 

  6. G. T. Hahn, R. G. Hoagland, M. F. Kanninen and A. R. Rosenfield,Pressure Vessel Technology, Part II, ASME, New York, (1973) 971.

  7. J.J. Gilman,Fracture, B.L. Averback et al. (editors), MIT Press, Cambridge, p.193 (1959).

    Google Scholar 

  8. J.P. Berry,J. Mech. Phys. Solids, 8 (1960) 194.

    Google Scholar 

  9. G.C. Sih,Inelastic Behavior of Solids, M.F. Kanninen et al. (editors), McGraw-Hill, New York (1970) 607.

    Google Scholar 

  10. Z. J. Bilek, and S. J. Burns,Proceeding of the Conference on Dynamic Crack Propagation, op. cit.

  11. L. Prandtl,Z.A.M.M., 13, (1933) 129.

    Google Scholar 

  12. J.N. Goodier,Fracture, Vol. II, H. Liebowitz (editor), Academic Press, New York, (1968) 2.

    Google Scholar 

  13. S.P. Timoshenko,Phil. Mag., 41 (1921) 744.

    Google Scholar 

  14. S.P. Timoshenko,Phil. Mag., 32 (1922) 125.

    Google Scholar 

  15. A.D. Kerr,J. Applied. Mech., 31 (1964) 491.

    Google Scholar 

  16. G.R. Cowper,J. Applied Mech., 33 (1966) 335.

    Google Scholar 

  17. B. Gross and J. E. Srawley, NASA Tech Note D-3295 (1966).

  18. S.M. Wiederhorn, A.M. Shorb and R.L. Moses,J. Applied Physics, 39 (1968) 1569.

    Article  Google Scholar 

  19. G.E. Forsythe and W.R. Wasow,Finite Difference Methods for Partial Differential Equations, Wiley, New York (1960).

    Google Scholar 

  20. J. M. Anderson, H. P. Kan and W. W. King,Proceedings of the Conference on Dynamic Crack Propagation, op. cit.

  21. C. Atkinson and J.D. Eshelby,Int. J. Fracture Mech., 4 (1968) 3.

    Google Scholar 

  22. J.D. Eshelby,Inelastic Behavior of Solids, M.F. Kanninen et al. (editors), McGraw-Hill, New York, (1970) 77.

    Google Scholar 

  23. A. S. Kobayashi and B. G. Wade,Proceedings of the Conference on Dynamic Crack Propagation, op. cit.

  24. M. Mirabile and S. Venzi,Proceedings of the Conference on Dynamic Crack Propagation, op. cit.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kanninen, M.F. A dynamic analysis of unstable crack propagation and arrest in the DCB test specimen. Int J Fract 10, 415–430 (1974). https://doi.org/10.1007/BF00035502

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00035502

Keywords

Navigation