Revisiting Energy Release Rates in Brittle Fracture

被引:0
作者
Antonin Chambolle
Gilles A. Francfort
Jean-Jacques Marigo
机构
[1] Ecole Polytechnique,CMAP
[2] CNRS,Institut Galilée
[3] Université Paris 13,Institut Jean LeRond d’Alembert
[4] Université Pierre et Marie Curie,undefined
来源
Journal of Nonlinear Science | 2010年 / 20卷
关键词
Brittle fracture; Energy release rate; Variational methods; Blow-up technique; Crack kink; Stability criterion; 35R35; 35J20; 49S05; 74R10; 74A45; 74G70;
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学科分类号
摘要
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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页码:395 / 424
页数:29
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