Kinking of a crack emanating from the free surface of a beam under pure bending

C. Levy, M. Perl

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A perturbation technique developed by Karihaloo et al. is employed to obtain the stress intensity factors at the tip of a kinking crack that emanates from the free surface of a beam under pure bending. Under the condition that the kink extends in the direction of vanishing K11 the crack path is obtained as well as a path stability condition. From conditions on K1 a material parameter r* akin to that of Ramulu and Kobayashi's rc is obtained. By analysis of the slope of the kinking crack a stability condition is obtained corroborating the stability condition from consideration of vanishing K11. It is shown that for a beam in pure bending the nonsingular remote stress term T must be greater than some positive critical value for kinking to occur confirming the results of Sayir and Schindler.

Original languageEnglish
Pages (from-to)1525-1539
Number of pages15
JournalInternational Journal of Solids and Structures
Volume22
Issue number12
DOIs
StatePublished - 1 Jan 1986
Externally publishedYes

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