Universality class of fiber bundles with strong heterogeneities
dc.contributor.author
dc.date.accessioned
2013-02-26T10:16:52Z
dc.date.available
2013-02-26T10:16:52Z
dc.date.issued
2008
dc.identifier.issn
0295-5075
dc.identifier.uri
dc.description.abstract
We study the effect of strong heterogeneities on the fracture of disordered materials using a fiber bundle model. The bundle is composed of two subsets of fibers, i.e. a fraction 0 ≤ α ≤ 1 of fibers is unbreakable, while the remaining 1 - α fraction is characterized by a distribution of breaking thresholds. Assuming global load sharing, we show analytically that there exists a critical fraction of the components αc which separates two qualitatively diferent regimes of the system: below αc the burst size distribution is a power law with the usual exponent Ƭ= 5/2, while above αc the exponent switches to a lower value Ƭ = 9/4 and a cutoff function occurs with a diverging characteristic size. Analyzing the macroscopic response of the system we demonstrate that the transition is conditioned to disorder distributions where the constitutive curve has a single maximum and an inflexion point defining a novel universality class of breakdown phenomena
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Institute of Physics, Società Italiana di Fisica
dc.relation.isformatof
Reproducció digital del document publicat a: http://dx.doi.org/10.1209/0295-5075/81/54005
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© EPL (Europhysics Letters), 2008, vol. 81, núm. 5, p. 54005
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Articles publicats (D-F)
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Tots els drets reservats
dc.title
Universality class of fiber bundles with strong heterogeneities
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.type.version
info:eu-repo/semantics/draft
dc.identifier.doi
dc.identifier.idgrec
009193
dc.identifier.eissn
1286-4854