Skip to main content
SpringerLink
Log in

Debonding of the interface as 'crack arrestor'

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

Abstract

In this paper, we studied the interface debonding when a crack perpendicularly approaches an interface between two dissimilar elastic materials. An interface toughness law was first defined according to an adhesive model governing the interface fracture. By analysing the interaction between the normally approaching crack and the interface crack and by tacking account of the adhesive forces at ends of the interfacial crack, a model for studying the interface debonding and the debonding stability was established. It is observed that the interface debonding toughness depends strongly on the mixed mode locally produced over the plastic adhesive zone of the interface. Moreover, the interface debonding may be unstable, i.e. the interface debonding length may jump from an initial value to a certain final value under critical remote loading. This jump may be surprisedly important in certain cases. These results agree with the experimental works gathered so far and can be used to explain the mechanism of 'crack arrestor' formed by an interface.

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

  • Barenblatt, G.I. (1959). On the equilibrium cracks dues to brittle fracture. Straight-line cracks in flat plates. Journal of Applied Mathematics and Mechanics 23, 434.

    Google Scholar 

  • Beltz, G.E. and Rice, J.R. (1991). Modeling the Deformation of Crystalline Solids (Edited by Lowe, T.C. and Rollett, A.) The Minerals, Metals and Materials Soc., TMS, Warrendale, PA, p. 457.

    Google Scholar 

  • Cao, H.C. and Evans, A.G. (1989). An experimental study of the fracture resistance of bimaterial interfaces. Mechanics of Materials 7, 295–304.

    Google Scholar 

  • Cook, T.S. and Erdogan, F. (1972). Stresses in bonded materials with a crack perpendicular to the interface. International Journal of Engineering Science 10, 677–697.

    Google Scholar 

  • Dugdale, D.S. (1960). Yielding of steel sheet containing slits. Journal of Mechanics and Physics of Solids 8, 100–104.

    Google Scholar 

  • Dundurs, J. (1969). Edge-bonded dissimilar orthogonal elastic wedges. Journal of Applied Mechanics 29, 650–652.

    Google Scholar 

  • Erdogan, F. and Birickoglu, V. (1973). Two bonded half planes with a crack going through the interface. International Journal of Engineering Science 11, 745–766.

    Google Scholar 

  • Erdogan, F. and Cupta, G.D. (1972). On the numerical solution of singular integral equations. Quarterly of Applied Mathematics 29, 525–534.

    Google Scholar 

  • Evans, A.G. and Hutchinson, J.W. (1989). Effects of non-planarity on the mixed mode fracture resistance of bimaterial interfaces. Acta Metallica 37, 909–916

    Google Scholar 

  • He, M.Y. and Hutchinson, J.W. (1989). Cracking deflection at an interface between dissimilar elastic materials. International Journal of Solids Structures 25, 1053–1067.

    Google Scholar 

  • Hertzberg, P.W. (1976). Deformation and Fracture Mechanics of Engineering Materials, John Wiley & sons, New York.

    Google Scholar 

  • Hutchinson, J.W. and Suo, Z.G.(1992).Mixed mode cracking in layered materials. Advances in AppliedMechanics 29, 63–191.

    Google Scholar 

  • Liechti K.M. and Chal, Y.S. (1992). Asymmetric shielding in interfacial fracture under inplane shear. Journal of Applied Mechanics 59, 295.

    Google Scholar 

  • Lemaitre, J., Desmorat, R., Vidonne, M.P. and Zhang, P. (1996). Reinitiation of crack reaching an interface. International Journal of Fracture 80, 257–276.

    Google Scholar 

  • O'Dowd, N.P., Stout, M.G. and Shih, C.F. (1992). Fracture toughness of alumina/niobium interfaces: experiments and analysis. Philosophy Magazine A66, 1037.

    Google Scholar 

  • Rice, P. (1988). Elastic fracture concepts for interfacial cracks in dissimilar media. Journal of Applied Mechanics 55, 98–103.

    Google Scholar 

  • Suo, Z.G. (1989). Singularities interacting with interfaces and cracks. International Journal of Solids Structures 25, 1133–1142.

    Google Scholar 

  • Thouless, M.D. (1990). Fracture of a model interface under mixed-mode loading. Acta Metallica Materials 38, 1135–1140.

    Google Scholar 

  • Volkerson, 0. (1938). Die Nietkraftverteilung in Zugbeanspruchten mit Konstanten Laschenquerschritten. Luftahrt Forschungen 15, 41–47.

    Google Scholar 

  • Zak, A.R. and Williams, M.L. (1963). Crack point singularities at a bi-material interface. Journal of Applied Mechanics 30, 142–138.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire d'Etudes et de Recherches en Mécanique des Structures, Blaise Pascal University of Clermont-Fd, Avenue Aristide Briand, 03, 100, Montluçon, France

    Jia Li

Authors
  1. Jia Li
    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

Li, J. Debonding of the interface as 'crack arrestor'. International Journal of Fracture 105, 57–79 (2000). https://doi.org/10.1023/A:1007603809972

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007603809972

Search

Navigation