Skip to main content
Log in

Asymptotic analysis of a cohesive crack: 1. Theoretical background

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

Abstract

A method to analyze the evolution of a cohesive crack, particularly appropriate for asymptotic analysis, is presented. Detailed descriptions of the zeroth order and first order asymptotic approaches are given and from these results the far field equivalent elastic crack theorem is derived. An analytically soluble example, the Griffith crack, and a simple model, the Dugdale model, are used to exemplify the results.

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. G.J.Barenblatt, Advances in Applied Mechanics 7 (1962) 55–125.

    Google Scholar 

  2. D.S.Dugdale, Journal of Mechanics and Physics of Solids 8 (1960) 100–104.

    Article  Google Scholar 

  3. M. Elices and J. Planas, in Fracture Mechanics of Concrete Structures, L. Elfgren (ed.), Chapman and Hall (1989) 16–66.

  4. J.N. Goodier, in Fracture, Vol. 2, H. Liebowitz (ed.), Academic Press (1968) 1–66.

  5. A. Hillerborg, M. Modeer and P.E. Petersson, Cement and Concrete Research (1976) 773–782.

  6. M.F. Kanninen, A.K. Mukherjee, A.R. Rosenfield and G.T. Hahn, in Mechanical Behaviour of Materials under Dynamic Loads, Springer-Verlag (1968) 96–133.

  7. A.S. Kobayashi, in Computational Methods in the Mechanics of Fracture, S.N. Atluri (ed.), North Holland (1986) 21–51.

  8. S.G.Mikhlin, Integral Equations, Pergamon Press, Oxford (1964) 21–51.

    Google Scholar 

  9. J. Rice, in Fracture, Vol. 2, Academic Press (1968) 192–311.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Planas, J., Elices, M. Asymptotic analysis of a cohesive crack: 1. Theoretical background. Int J Fract 55, 153–177 (1992). https://doi.org/10.1007/BF00017275

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00017275

Keywords

Navigation