Skip to main content
Log in

On the direction of development of a thin fracture process zone at the tip of an interfacial crack between dissimilar media

  • Published:
International Applied Mechanics Aims and scope

Abstract

The Wiener-Hopf method is used to study, under the conditions of plane strain, the direction of development of a thin fracture process zone at the tip of an interfacial crack in a piecewise homogeneous isotropic elastoplastic body. The zone is modeled by a straight line of tangential displacement discontinuity that emerges from the crack tip at an angle to the interface. The dependences of the zone length and the angle on the load and other parameters of the problem are investigated

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. F. D. Gakhov, Boundary-Value Problems [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  2. A. A. Kaminsky and D. A. Gavrilov, Long-Term Fracture of Polymeric and Composite Materials with Cracks [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  3. A. A. Kaminsky, L. A. Kipnis, and V. A. Kolmakova, “Slip lines at the end of a cut at the interface of different media,” Int. Appl. Mech., 31, No. 6, 491–495 (1995).

    Article  Google Scholar 

  4. A. A. Kaminsky, L. A. Kipnis, and V. A. Kolmakova, “On the Dugdale model for a crack at the interface of different media,” Int. Appl. Mech., 35, No. 1, 58–63 (1999).

    Google Scholar 

  5. H. T. Corten, “Fracture mechanics of composites,” in: H. Liebowitz (ed.), Fracture: An Advanced Treatise, Vol. 7, Acad. Press, New York (1972), pp. 695–703.

    Google Scholar 

  6. B. Noble, Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations, Pergamon Press, London (1958).

    Google Scholar 

  7. V. Z. Parton and P. I. Perlin, Methods of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  8. Ya. S. Uflyand, Integral Transforms in Problems of Elasticity [in Russian], Nauka, Leningrad (1967).

    Google Scholar 

  9. G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  10. A. A. Kaminsky, “Analyzing the laws of stable subcritical growth of cracks in polymeric materials on the basis of fracture mesomechanics models: Theory and experiment,” Int. Appl. Mech., 40, No. 8, 829–846 (2004).

    Article  MATH  Google Scholar 

  11. A. A. Kaminsky, L. A. Kipnis, and M. V. Dudik, “Initial development of the prefracture zone near the tip of a crack reaching the interface between dissimilar media,” Int. Appl. Mech., 40, No. 2, 176–182 (2004).

    Article  Google Scholar 

  12. A. A. Kaminsky, L. A. Kipnis, and M. V. Dudik, “Modeling of the crack tip plastic zone by two slip lines and the order of stress singularity,” Int. J. Fract., 127, No. 1, L105–L109 (2004).

    Article  Google Scholar 

  13. A. A. Kaminsky and Yu. A. Chernoivan, “Wedging of a viscoelastoplastic orthotropic composite,” Int. Appl. Mech., 41, No. 4, 352–357 (2005).

    Article  Google Scholar 

  14. A. A. Kaminsky and G. V. Galatenko, “Two-parameter model of a mode I crack in an elastoplastic body under plane-strain conditions,” Int. Appl. Mech., 41, No. 6, 621–630 (2005).

    Article  Google Scholar 

  15. V. V. Loboda and A. E. Sheveleva, “Determining prefracture zones at a crack tip between two elastic orthotropic bodies,” Int. Appl. Mech., 39, No. 5, 566–572 (2003).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 14–23, February 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kaminsky, A.A., Dudik, M.V. & Kipnis, L.A. On the direction of development of a thin fracture process zone at the tip of an interfacial crack between dissimilar media. Int Appl Mech 42, 136–144 (2006). https://doi.org/10.1007/s10778-006-0068-1

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-006-0068-1

Keywords

Navigation