Path prediction of kinked and branched cracks in plane situations

Using the asymptotic expansion of the stress field ahead a curved extension of a straight crack, some general results on the paths selected by kinked and branched cracks are derived. When dealing with the dynamic branching instability of a single propagation crack, the experimentally observed shape...

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Bibliographic Details
Published in:Physical review letters 2004-10, Vol.93 (18), p.185502.1-185502.4, Article 185502
Main Author: ADDA-BEDIA, M
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fracture mechanics, fatigue and cracks
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
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Summary:Using the asymptotic expansion of the stress field ahead a curved extension of a straight crack, some general results on the paths selected by kinked and branched cracks are derived. When dealing with the dynamic branching instability of a single propagation crack, the experimentally observed shape of the branches is recovered without introducing any adjustable parameter. It is shown that the length scale introduced by the curved extension of the branches is given by the geometrical length scale of the experiment. The theoretical results agree quantitatively with the experimental findings.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.93.185502