{
  "id": "0802.2695",
  "version": "v1",
  "published": "2008-02-19T18:50:25.000Z",
  "updated": "2008-02-19T18:50:25.000Z",
  "title": "Universality class of fiber bundles with strong heterogeneities",
  "authors": [
    "R. C. Hidalgo",
    "K. Kovacs",
    "I. Pagonabarraga",
    "F. Kun"
  ],
  "journal": "EPL, 81 (2008) 54005",
  "doi": "10.1209/0295-5075/81/54005",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "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 \\tau=5/2, while above \\alpha_c the exponent switches to a lower value \\tau=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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-19T18:50:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strong heterogeneities",
      "fiber bundle model",
      "cutoff function occurs",
      "novel universality class",
      "burst size distribution"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "EPL (Europhysics Letters)",
      "year": 2008,
      "month": "Mar",
      "volume": 81,
      "number": 5,
      "pages": 54005
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008EL.....8154005H"
    }
  }
}