Approximate description of crack kinking and curving

B. L. Karihaloo, L. M. Keer, S. Nemat-Nasser, A. Oranratnachai

Research output: Contribution to journalArticlepeer-review

81 Scopus citations


An approximate description is given of the slightly out-of-plane growth of a straight crack under mixed-mode loading and in the presence of an in-plane stress. By using a perturbation technique, conditions are derived for the deviation of the crack from straightness. The allowance for the possible curvature of the quasi-statically growing crack, and the effect of the finite length of the main crack are included in the analysis, which retains second- order terms. In particular, it is shown that the curvature of the crack path depends on the in-plane stress and the derivatives of the stress-intensity factors with respect to the length of the main crack. The influence of the in-plane stress on the stability of the crack growth is also studied and the conclusions are the same as those reported by Cotter-ell and Rice.

Original languageEnglish (US)
Pages (from-to)515-519
Number of pages5
JournalJournal of Applied Mechanics, Transactions ASME
Issue number3
StatePublished - Sep 1981

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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