Issue |
Europhys. Lett.
Volume 76, Number 3, November 2006
|
|
---|---|---|
Page(s) | 450 - 456 | |
Section | Condensed matter: structural, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2006-10273-7 | |
Published online | 29 September 2006 |
Roughness of tensile crack fronts in heterogenous materials
Laboratoire de Physique Statistique de l'Ecole Normale Supérieure 24 rue Lhomond, 75231 Paris Cedex 05, France
Received:
3
July
2006
Accepted:
1
September
2006
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
, 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.
PACS: 62.20.Mk – Fatigue, brittleness, fracture, and cracks / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 64.60.Ht – Dynamic critical phenomena
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.