{
  "id": "1106.1506",
  "version": "v1",
  "published": "2011-06-08T06:26:29.000Z",
  "updated": "2011-06-08T06:26:29.000Z",
  "title": "A solvable model of fracture with power-law distribution of fragment sizes",
  "authors": [
    "Ken Yamamoto",
    "Yoshihiro Yamazaki"
  ],
  "journal": "Physical Review E 85, 011145 (2012) [5 pages]",
  "doi": "10.1103/PhysRevE.85.011145",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The present paper describes a stochastic model of fracture, whose fragment size distribution can be calculated analytically as a power-law-like distribution. The model is basically cascade fracture, but incorporates the effect that each fragment in each stage of cascade ceases fracture with a certain probability. When the probability is constant, the exponent of the power-law cumulative distribution lies between -1 and 0, depending not only on the probability but the distribution of fracture points. Whereas, when the probability depends on the size of a fragment, the exponent is less than -1, irrespective of the distribution of fracture points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-08T06:26:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.50.-r",
      "46.50.+a",
      "05.40.-a"
    ],
    "keywords": [
      "power-law distribution",
      "solvable model",
      "fracture points",
      "probability",
      "cascade ceases fracture"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2012,
      "month": "Jan",
      "volume": 85,
      "number": 1,
      "pages": "011145"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvE..85a1145Y"
    }
  }
}