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<p>This paper presents a unified constitutive framework for Mixed-Mode I-II fracture based on two physically meaningful parameters: geometric crack density and conversion coefficient. This parameterization separates geometry from interface physics, enabling a seamless transition between open, frictionless closed, and frictional closed cracks through a single coefficient. Applied to multi-cracked specimens, the analysis reveals two critical thresholds: a<i> K</i><sub>IIC</sub>/<i>K</i><sub>IC</sub> ratio below 1.35 governs shear-dominated failure, and a 55°–60° inclination marks the transition from tensile to shear propagation. These findings provide quantitative insights for stability assessment of fractured rock slopes using only standard fracture toughnesses as input.</p>

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Computational Fracture Mechanics Modeling and Multivariate Analysis of Mixed-Mode I-II Crack Propagation in Unstable Rock Masses

  • 期刊论文

  • 发表日期：

    2026年7月10日

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  • Shikuo Chen,
  • Rui Wang,
  • Yifan Hou,
  • Zhiming Wang,
  • Xin Pan,
  • Yang Zhang,
  • Xiaoyan Zhao,
  • Minghao Chen,
  • Hang Zhou,
  • Zhewei Wang

摘要

This paper presents a unified constitutive framework for Mixed-Mode I-II fracture based on two physically meaningful parameters: geometric crack density and conversion coefficient. This parameterization separates geometry from interface physics, enabling a seamless transition between open, frictionless closed, and frictional closed cracks through a single coefficient. Applied to multi-cracked specimens, the analysis reveals two critical thresholds: a KIIC/KIC ratio below 1.35 governs shear-dominated failure, and a 55°–60° inclination marks the transition from tensile to shear propagation. These findings provide quantitative insights for stability assessment of fractured rock slopes using only standard fracture toughnesses as input.