Fracture surfaces of heterogeneous materials: a 2D solvable model

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dc.creatorKatzav, E.
dc.creatorAdda-Bedia, M.
dc.creatorDerrida, B.
dc.date2006-10-06
dc.date.accessioned2026-07-07T08:00:29Z
dc.date.available2026-07-07T08:00:29Z
dc.descriptionUsing an elastostatic description of crack growth based on the Griffith criterion and the principle of local symmetry, we present a stochastic model describing the propagation of a crack tip in a 2D heterogeneous brittle material. The model ensures the stability of straight cracks and allows for the study of the roughening of fracture surfaces. When neglecting the effect of the non singular stress, the problem becomes exactly solvable and yields analytic predictions for the power spectrum of the paths. This result suggests an alternative to the conventional power law analysis often used in the analysis of experimental data.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0610185
dc.identifierhttp://arxiv.org/abs/cond-mat/0610185
dc.identifierEPL 78 46006 (2007)
dc.identifierdoi:10.1209/0295-5075/78/46006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128677
dc.subjectMaterials Science
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleFracture surfaces of heterogeneous materials: a 2D solvable model
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