Failure initiation at a blunt V-notch tip under mixed mode loading

Elad Priel, Zohar Yosibash*, Dominique Leguillon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A criterion to predict crack onset at a sharp V-notch tip in homogeneous brittle materials under a mixed-mode loading was presented and validated by experimental observations in a previous paper by the authors. This criterion slightly underestimates the experimental loads causing failure which is attributed to a small notch tip radius that blunts the sharp corner. This discrepancy is rigorously analyzed mathematically in this paper by means of matched asymptotics involving 2 small parameters: a micro-crack increment length and the notch tip radius. A correction is brought to the initial prediction and a better agreement is obtained with experiments on PMMA notched specimens.

Original languageEnglish
Pages (from-to)143-173
Number of pages31
JournalInternational Journal of Fracture
Issue number2
StatePublished - Feb 2008
Externally publishedYes


  • Failure initiation
  • Generalized stress intensity factors
  • Mixed-mode fracture
  • U-notch
  • V-notch


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