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        <identifier>oai:figshare.com:article/33815209</identifier>
        <datestamp>2026-09-15T18:05:07Z</datestamp>
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          <dc:title>&lt;p&gt;Model parameters.&lt;/p&gt;</dc:title>
          <dc:creator>Yonghui Zhang (279832)</dc:creator>
          <dc:creator>Fangtao Li (5730533)</dc:creator>
          <dc:subject>Biophysics</dc:subject>
          <dc:subject>Medicine</dc:subject>
          <dc:subject>Environmental Sciences not elsewhere classified</dc:subject>
          <dc:subject>Ecology</dc:subject>
          <dc:subject>Biological Sciences not elsewhere classified</dc:subject>
          <dc:subject>Science Policy</dc:subject>
          <dc:subject>stress &amp;# 8209</dc:subject>
          <dc:subject>pore water pressure</dc:subject>
          <dc:subject>fractured rocks subjected</dc:subject>
          <dc:subject>unified strength theory</dc:subject>
          <dc:subject>microelement strength follows</dc:subject>
          <dc:subject>statistical damage model</dc:subject>
          <dc:subject>critical damage threshold</dc:subject>
          <dc:subject>promotes rock failure</dc:subject>
          <dc:subject>damage threshold</dc:subject>
          <dc:subject>statistical variable</dc:subject>
          <dc:subject>overall strength</dc:subject>
          <dc:subject>xlink "&gt;</dc:subject>
          <dc:subject>weibull distribution</dc:subject>
          <dc:subject>thereby establishing</dc:subject>
          <dc:subject>test curves</dc:subject>
          <dc:subject>study provides</dc:subject>
          <dc:subject>safety analysis</dc:subject>
          <dc:subject>results show</dc:subject>
          <dc:subject>quantitatively characterize</dc:subject>
          <dc:subject>mechanical responses</dc:subject>
          <dc:subject>finally validated</dc:subject>
          <dc:subject>effectively reflecting</dc:subject>
          <dc:description>&lt;div&gt;&lt;p&gt;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.&lt;/p&gt;&lt;/div&gt;</dc:description>
          <dc:date>2026-09-15T18:04:57Z</dc:date>
          <dc:type>Dataset</dc:type>
          <dc:type>Dataset</dc:type>
          <dc:identifier>10.1371/journal.pone.0358254.t001</dc:identifier>
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          <dc:rights>CC BY 4.0</dc:rights>
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