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<p>Crack growth path is one of the key approaches to study rock strength. Most current studies concentrate on the impact of direct cracks in rock rather than cross-crack. This work proposes a novel approach to forecast the cross-crack extension path in the finite plate. The dislocation method, boundary integral equation, and complex variable function are adopted to obtain the cross-crack SIFs (Stress Intensity Factors) in finite plates. The fracture criterion of cross-crack in finite plates is established based on the ratio criterion of maximum tensile and shear SIF, and the entire process from initiation to propagation of cross-crack in finite plates is predicted. Combined with DIC (Digital Image Correlation) test method, the red sandstone cross-crack uniaxial compression test was conducted, and the propagation process of cross-crack in red sandstone was obtained. The results show that: Cross-crack propagation occurs at 75%–100% for most samples, and the time of crack nucleation is closer to the peak strength with the increase of <i>α</i>. After the inclination angle of the cross-crack decreases, the initiation load rises. Both the total crack extension length and the instability load first rise then fall (15° &lt; <i>α</i> &lt; 45° and 45° &lt; <i>α</i> &lt; 75°). All specimens under uniaxial compression exhibit Mode I (tensile mode) crack initiation and propagation. The cross-crack tip will be initiated again after the first initiated, resulting in a secondary wing crack. The validity of the finite plate cross-crack propagation theory is confirmed by the well-coincided between the predicted and experimental results.</p>

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Fracture Mechanism of Red Sandstone with Cross-Crack: Based on the New Cross-Crack Propagation Criterion and DIC Technique

  • 期刊论文

  • 发表日期：

    2025年9月19日

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  • Qingqing Shen,
  • Lvlin Xiang,
  • Chunhua You,
  • Wei Yi,
  • Shuxin Huang

摘要

Crack growth path is one of the key approaches to study rock strength. Most current studies concentrate on the impact of direct cracks in rock rather than cross-crack. This work proposes a novel approach to forecast the cross-crack extension path in the finite plate. The dislocation method, boundary integral equation, and complex variable function are adopted to obtain the cross-crack SIFs (Stress Intensity Factors) in finite plates. The fracture criterion of cross-crack in finite plates is established based on the ratio criterion of maximum tensile and shear SIF, and the entire process from initiation to propagation of cross-crack in finite plates is predicted. Combined with DIC (Digital Image Correlation) test method, the red sandstone cross-crack uniaxial compression test was conducted, and the propagation process of cross-crack in red sandstone was obtained. The results show that: Cross-crack propagation occurs at 75%–100% for most samples, and the time of crack nucleation is closer to the peak strength with the increase of α. After the inclination angle of the cross-crack decreases, the initiation load rises. Both the total crack extension length and the instability load first rise then fall (15° < α < 45° and 45° < α < 75°). All specimens under uniaxial compression exhibit Mode I (tensile mode) crack initiation and propagation. The cross-crack tip will be initiated again after the first initiated, resulting in a secondary wing crack. The validity of the finite plate cross-crack propagation theory is confirmed by the well-coincided between the predicted and experimental results.