Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition

Details Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition

2008-03-03

arxiv.org/abs/0803.0190v2

Physical Review Letters 101 (2008) 045501

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.101.045501

We derive here a linear elastic stochastic description for slow crack growth in heterogeneous materials. This approach succeeds in reproducing quantitatively the intermittent crackling dynamics observed recently during the slow propagation of a crack along a weak heterogeneous plane of a transparent Plexiglas block [M{\aa}l{\o}y {\it et al.}, PRL {\bf 96} 045501]. In this description, the quasi-static failure of heterogeneous media appears as a self-organized critical phase transition. As such, it exhibits universal and to some extent predictable scaling laws, analogue to that of other systems like for example magnetization noise in ferromagnets.

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