Roughness of tensile crack fronts in heterogenous materials

E. Katzav*, M. Adda-Bedia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

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 ζ= 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 ζ.

Original languageAmerican English
Pages (from-to)450-456
Number of pages7
JournalEurophysics Letters
Volume76
Issue number3
DOIs
StatePublished - 1 Nov 2006
Externally publishedYes

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