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International Journal of Fracture

, Volume 55, Issue 2, pp 153–177 | Cite as

Asymptotic analysis of a cohesive crack: 1. Theoretical background

  • J. Planas
  • M. Elices
Article

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.

Keywords

Mechanical Engineer Civil Engineer Simple Model Material Processing Theoretical Background 
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References

  1. 1.
    G.J.Barenblatt, Advances in Applied Mechanics 7 (1962) 55–125.Google Scholar
  2. 2.
    D.S.Dugdale, Journal of Mechanics and Physics of Solids 8 (1960) 100–104.CrossRefGoogle Scholar
  3. 3.
    M. Elices and J. Planas, in Fracture Mechanics of Concrete Structures, L. Elfgren (ed.), Chapman and Hall (1989) 16–66.Google Scholar
  4. 4.
    J.N. Goodier, in Fracture, Vol. 2, H. Liebowitz (ed.), Academic Press (1968) 1–66.Google Scholar
  5. 5.
    A. Hillerborg, M. Modeer and P.E. Petersson, Cement and Concrete Research (1976) 773–782.Google Scholar
  6. 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.Google Scholar
  7. 7.
    A.S. Kobayashi, in Computational Methods in the Mechanics of Fracture, S.N. Atluri (ed.), North Holland (1986) 21–51.Google Scholar
  8. 8.
    S.G.Mikhlin, Integral Equations, Pergamon Press, Oxford (1964) 21–51.Google Scholar
  9. 9.
    J. Rice, in Fracture, Vol. 2, Academic Press (1968) 192–311.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • J. Planas
    • 1
  • M. Elices
    • 1
  1. 1.Departamento de Ciencia de Materiales, Escuela de Ingenieros de CaminosUniversidad Politécnica de MadridMadridSpain

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