Roughness of tensile crack fronts in heterogenous materials

Details Roughness of tensile crack fronts in heterogenous materials Roughness of tensile crack fronts in heterogenous materials

2006-07-03

arxiv.org/abs/cond-mat/0607041v1

Europhys. Lett. 76 450-456 (2006)

Physics

Condensed Matter

Materials Science

7 pages

Scientific paper

10.1209/epl/i2006-10273-7

The dynamics of planar crack fronts in heterogeneous media is studied using a recently proposed stochastic equation of motion that takes into account nonlinear effects. The analysis is carried for a moving front in the quasi-static regime using the Self Consistent Expansion. A continuous dynamical phase transition between a flat phase and a dynamically rough phase, with a roughness exponent $\zeta=1/2$, is found. The rough phase becomes possible due to the destabilization of the linear modes by the nonlinear terms. Taking into account the irreversibility of the crack propagation, we infer that the roughness exponent found in experiments might become history-dependent, and so our result gives a lower bound for $\zeta$.

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