{
  "abstract": "A statistical damage model incorporating multifractal characteristics is proposed for micro-fractured rocks subjected to pore water pressure. Based on the assumption that microelement strength follows a Weibull distribution, the unified strength theory is adopted as the statistical variable, and a relative fractal dimension λ is introduced to quantitatively characterize the heterogeneity and anisotropy of the material, thereby establishing a statistical damage model for the rock, which is finally validated through experiments. The results show that: (1) The model predictions agree well with test curves, effectively reflecting the mechanical responses under varying pore water pressures; (2) Increasing pore water pressure accelerates damage evolution, lowers the critical damage threshold, and promotes rock failure; (3) A larger relative fractal dimension λ reduces microelement strength concentration, brittleness, damage threshold, and overall strength, making the rock more prone to instability. This study provides a reference for safety analysis of rock engineering under stress‑seepage coupling conditions.",
  "abstract_shown": true,
  "affiliations": [
    "Guizhou Communications Polytechnic University, Guiyang, China",
    "The Finance Bureau of Suihua City, Heilongjiang Province, Suihua, China"
  ],
  "article_type": "Research Article",
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Yonghui Zhang"
    },
    {
      "affs": [
        1
      ],
      "name": "Fangtao Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4rykwb5h4mw05.bib",
  "cited_by": 0,
  "doi": "10.1371/journal.pone.0358254",
  "fulltext_url": null,
  "id": "4rykwb5h4mw05",
  "issns": [
    "1932-6203"
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  "landing_url": "https://doi.org/10.1371/journal.pone.0358254",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2211|Rock Mechanics and Modeling"
    ],
    [
      "plos",
      "/Physical sciences/Materials science/Material properties/Anisotropy"
    ],
    [
      "plos",
      "/Physical sciences/Materials science/Materials/Porous materials"
    ],
    [
      "plos",
      "/Physical sciences/Mathematics/Geometry/Fractals"
    ],
    [
      "plos",
      "/Physical sciences/Mathematics/Probability theory/Probability distribution"
    ],
    [
      "plos",
      "/Physical sciences/Mathematics/Probability theory/Statistical distributions"
    ],
    [
      "plos",
      "/Physical sciences/Mathematics/Statistics/Statistical theories"
    ],
    [
      "plos",
      "/Physical sciences/Physics/Classical mechanics/Damage mechanics"
    ],
    [
      "plos",
      "/Physical sciences/Physics/Classical mechanics/Mechanical stress"
    ],
    [
      "plos",
      "/Physical sciences/Physics/Condensed matter physics/Anisotropy"
    ]
  ],
  "openalex": "W7213363429",
  "pdf_url": "https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0358254&type=printable",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": "Public Library of Science",
  "ris": "https://research.draconitic.com/paper/4rykwb5h4mw05.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:50Z",
      "native_id": "10.1371/journal.pone.0358254",
      "source": "plos",
      "url": "https://doi.org/10.1371/journal.pone.0358254"
    }
  ],
  "subjects": [
    {
      "field": "chemistry",
      "origin": "plos:materials science",
      "subfield": "materials-polymers"
    },
    {
      "field": "mathematics",
      "origin": "plos:geometry",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "plos:probability theory",
      "subfield": "probability"
    }
  ],
  "title": "Statistical damage model of rock considering pore water pressure and multifractal characteristics",
  "title_text": "Statistical damage model of rock considering pore water pressure and multifractal characteristics",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:50Z",
  "url": "https://research.draconitic.com/paper/4rykwb5h4mw05",
  "venue": "PLOS One",
  "versions": []
}