Elsevier

European Journal of Mechanics - A/Solids

Volume 20, Issue 6, November–December 2001, Pages 937-951
European Journal of Mechanics - A/Solids

Crack kinking from an interface crack with initial contact between the crack lips

https://doi.org/10.1016/S0997-7538(01)01173-1Get rights and content

Abstract

The authors recently theoretically studied crack kinking and opening from an initially closed crack (without friction) in some homogeneous medium. The same problem, but for an interface crack, is considered here. Comninou has shown that the asymptotic stress field prior to kinking is governed by a single, mode II stress intensity factor (SIF). Using this result, plus a homogeneity property of the problems of elastic fracture mechanics with unilateral contact envisaged, a change of scale, and two reasonable hypotheses, we establish the expression of the SIF at the tip of the small, open crack extension. It is shown that whatever the geometry of the external boundary and the crack and whatever the loading, these SIF depend solely upon the initial (mode II) SIF (in a linear way), the kink angle and Dundurs' parameters α and β. Using this result and Goldstein and Salganik's “principle of local symmetry” to predict the kink angle, one finds that it is independent of the loading but does depend upon Dundurs' parameters α and β. This contrasts with the case of an ordinary (initially closed) crack in some homogeneous medium, for which the kink angle was not only independent of the loading but an absolute constant. However, it is numerically found that the influence of the mismatch of elastic properties upon the kink angle is rather weak.

References (32)

  • B.A. Bilby et al.

    The crack with a kinked tip

    Int. J. Fract.

    (1975)
  • M. Comninou

    The interface crack

    J. Appl. Mech-T. ASME

    (1977)
  • M. Comninou

    The interface crack in a shear field

    J. Appl. Mech-T. ASME

    (1978)
  • M. Comninou et al.

    The interface crack in a combined tension–compression and shear field

    J. Appl. Mech-T. ASME

    (1979)
  • B. Cotterell et al.

    Slightly curved or kinked cracks

    Int. J. Fract.

    (1980)
  • X. Deng

    An asymptotic analysis of stationary and moving cracks with frictional contact along bimaterial interfaces and in homogeneous solids

    Int. J. Solids Struct.

    (1994)
  • Cited by (0)

    View full text