Revisiting energy release rates in brittle fracture

Abstract : 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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Submitted on : Wednesday, June 9, 2010 - 12:07:33 AM
Last modification on : Wednesday, March 27, 2019 - 4:16:23 PM
Long-term archiving on : Friday, September 17, 2010 - 1:04:55 PM

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Antonin Chambolle, Gilles A. Francfort, Jean-Jacques Marigo. Revisiting energy release rates in brittle fracture. Journal of Nonlinear Science, Springer Verlag, 2010, 20 (4), pp.395-424. ⟨10.1007/s00332-010-9061-2⟩. ⟨hal-00490537⟩

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