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Universality class of fiber bundles with strong heterogeneities | | R.C. Hidalgo
; K.Kovacs
; I. Pagonabarraga
; F. Kun
; | | Date: |
19 Feb 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<alpha<1 of fibers is unbreakable, while the
remaining 1-alpha 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 alpha_c which separates two
qualitatively different regimes of the system: below alpha_c the burst size
distribution is a power law with the usual exponent au=5/2, while above
alpha_c the exponent switches to a lower value au=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. | | Source: | arXiv, 0802.2695 | | Services: | Forum | Review | PDF | Favorites | |
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