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Universality class of fiber bundles with strong heterogeneities

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

© EPL (Europhysics Letters), 2008, vol. 81, núm. 5, p. 54005

Institute of Physics, Società Italiana di Fisica

Author: Cruz Hidalgo, Raúl
Kovács, K.
Pagonabarraga Mora, Ignacio
Kun, F.
Date: 2008
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
Format: application/pdf
ISSN: 0295-5075 (versió paper)
1286-4854 (versió electrònica)
Document access: http://hdl.handle.net/10256/7553
Language: eng
Publisher: Institute of Physics, Società Italiana di Fisica
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1209/0295-5075/81/54005
Articles publicats (D-F)
Is part of: © EPL (Europhysics Letters), 2008, vol. 81, núm. 5, p. 54005
Rights: Tots els drets reservats
Subject: Mecànica de fractura
Fracture mechanics
Materials -- Fatiga
Materials -- Fatigue
Title: Universality class of fiber bundles with strong heterogeneities
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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