Roughness of tensile crack fronts in heterogenous materials

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dc.creatorKatzav, E.
dc.creatorAdda--Bedia, M.
dc.date2006-07-03
dc.date.accessioned2026-07-07T08:00:28Z
dc.date.available2026-07-07T08:00:28Z
dc.descriptionThe 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 $ζ$.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0607041
dc.identifierhttp://arxiv.org/abs/cond-mat/0607041
dc.identifierEurophys. Lett. 76 450-456 (2006)
dc.identifierdoi:10.1209/epl/i2006-10273-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128674
dc.subjectMaterials Science
dc.subjectDisordered Systems and Neural Networks
dc.titleRoughness of tensile crack fronts in heterogenous materials
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