Skip to main content
SpringerLink
Log in

The dynamic energy release rate for two parallel steadily propagating mode III cracks in a viscoelastic body

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

Abstract

The dynamic steady-state propagation of two parallel semi-infinite, mode III cracks is considered for a general, infinite, homogeneous, and isotropic linearly viscoelastic body. A Barenblatt type failure zone is assumed to exist at the crack tip and a formula for the energy release rate is derived which provides immediate comparisons with the corresponding single crack problem. The influence of crack speed, crack separation, and material properties upon the energy release rate are illustrated with numerical calculations for both power-law material and a standard linear solid. Results for the elastic and quasi-static viscoelastic problems are deduced as limiting cases of the analysis.

Résumé

On reconsidère le problème d'une fissuration de Mode I dans des plaques soumises à une contrainte de membrane et à flexion. Le but est d'examiner de manière plus approfondie certaines caractéristiques analytiques du problème et de fournir de nouveaux résultats. On compare la formulation et les résultats fournis par la théorie classique et par la théorie des plaques de Reissner dans le cas de fissures traversantes ou partiellement traversantes. Pour les fissures de surface, on emploie une solution par éléments finis à trois dimensions comme base de comparaison.

On obtient la solution et on fournit les résultats pour un problème d'interaction fissure-contact dans une plaque comportant une fissure traversante soumise à flexion pure et pour le problème d'interaction de fissures. Une procédure est également développée pour traiter le problème de la croissance subcritique d'une fissure et pour suivre l'évolution d'une fissure en propagation.

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. J.R. Walton, Quarterly of Applied Mathematics 40 (1982) 37–52.

    Google Scholar 

  2. G.I. Barenblatt, in Advances in Applied Mechanics, Vol. VII, Academic Press (1962) 55–129.

  3. J.R. Walton, Journal of Applied Mechanics 54 (1987) 635–641.

    Google Scholar 

  4. B.V. Kostrov and L.V. Nikitin, Archiwum Mechaniki Stasowanej 22 (1970) 749–779.

    Google Scholar 

  5. A.C. Pipkin, Lectures on Viscoelasticity Theory, 2nd ed., Springer Verlag, New York (1986).

    Google Scholar 

  6. F.D. Gakhov, Boundary Value Problems, Pergamon Press, Oxford (1966).

    Google Scholar 

  7. H.K. Mueller and W.G. Knauss, Journal of Applied Mechanics 38 (1971) 483–488.

    Google Scholar 

  8. R.A. Schapery, International Journal of Fracture 11 (1975) 141–159.

    Google Scholar 

  9. L. Schovanec and J.R. Walton, Engineering Fracture Mechanics 28 (1987) 445–454.

    Article  Google Scholar 

  10. R.L. Burden, J.D. Faires and A.C. Reynolds, Numerical Analysis, 2nd ed., Prindle, Weber & Schmidt, Boston (1981).

    Google Scholar 

  11. J.R. Willis, Journal of Mechanics and Physics of Solids 15 (1967) 151–162.

    Article  Google Scholar 

  12. J.R. Willis, Journal of Mechanics and Physics of Solids 15 (1967) 229–240.

    Article  Google Scholar 

  13. G.R. Irwin, Journal of Applied Mechanics 24 (1957) 361–364.

    Google Scholar 

  14. G.C. Sih and H. Liebowitz, in Fracture, II, H. Liebowitz (ed.) Academic Press (1969) 67–190.

  15. L. Banks-Sills and Y. Benviniste, International Journal of Fracture 21 (1983) 243–260.

    Google Scholar 

  16. F. Erdogan, in Fracture, II, H. Liebowitz (ed.) Academic Press (1969) 497–590.

  17. L.B. Freund, The Mechanics of Brittle Fracture, to appear in Proceedings of the Tenth U.S. National Congress of Applied Mechanics (1986).

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Texas Tech University, 79409, Lubbock, Texas, U.S.A.

    L. Schovanec

  2. Department of Mathematics, Texas A & M University, 77840, College Station, Texas, U.S.A.

    J. R. Walton

Authors
  1. L. Schovanec
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. R. Walton
    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

Schovanec, L., Walton, J.R. The dynamic energy release rate for two parallel steadily propagating mode III cracks in a viscoelastic body. Int J Fract 41, 133–155 (1989). https://doi.org/10.1007/BF00018481

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00018481

Keywords

Search

Navigation