Journal
JOURNAL OF NONLINEAR SCIENCE
Volume 20, Issue 4, Pages 395-424Publisher
SPRINGER
DOI: 10.1007/s00332-010-9061-2
Keywords
Brittle fracture; Energy release rate; Variational methods; Blow-up technique; Crack kink; Stability criterion
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Funding
- Agence Nationale de la Recherche [ANR-08-BLAN-0082]
- Agence Nationale de la Recherche (ANR) [ANR-08-BLAN-0082] Funding Source: Agence Nationale de la Recherche (ANR)
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We revisit in a 2d setting the notion of energy release rate, which plays a pivotal role in brittle fracture. Through a blow-up method, we extend that notion to crack patterns which are merely closed sets connected to the crack tip. As an application, we demonstrate that, modulo a simple meta-stability principle, a moving crack cannot generically kink while growing continuously in time. This last result potentially renders obsolete in our opinion a longstanding debate in fracture mechanics on the correct criterion for kinking.
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