On the Self-Affine Roughness of a Crack Front in Heterogeneous Media

Details On the Self-Affine Roughness of a Crack Front in Heterogeneous Media On the Self-Affine Roughness of a Crack Front in Heterogeneous Media

2007-04-22

arxiv.org/abs/0704.2867v1

Phys. Rev. E 76, 025101(R) (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.76.025101

The long-ranged elastic model, which is believed to describe the evolution of a self-affine rough crack-front, is analyzed to linear and non-linear orders. It is shown that the nonlinear terms, while important in changing the front dynamics, are not changing the scaling exponent which characterizes the roughness of the front. The scaling exponent thus predicted by the model is much smaller than the one observed experimentally. The inevitable conclusion is that the gap between the results of experiments and the model that is supposed to describe them is too large, and some new physics has to be invoked for another model.

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