Rock and Soil Mechanics ›› 2026, Vol. 47 ›› Issue (7): 2367-2379.doi: 10.16285/j.rsm.2025.00365

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Mechanical properties and fractal damage constitutive model of hole‑bearing limestone under conventional compression

WANG Nan-yun1, LIU Xin-rong1, 2, 3, ZHONG Zu-liang1, 2, 3, ZHU Kai-xin1   

  1. 1. School of Civil Engineering, Chongqing University, Chongqing 400045, China 2. State key laboratory of coal mine disaster dynamics and control, Chongqing 400044, China 3. Key Laboratory of New Technology for Construction of Cities in Mountain Area of Ministry of Education, Chongqing 400045, China
  • Online:2026-07-11 Published:2026-08-27
  • Contact: ZHONG Zu-liang, male, born in 1980, PhD, Professor, research interests: rock mechanics, slope stability and tunnelling. E-mail: haiou983@126.com
  • Supported by:
    the National Natural Science Foundation of China (52474092, 52074042).

Abstract: The development of underground dissolution leads to the formation of numerous cavities in limestone, thereby affecting the stability of karst mountain. Conventional compression tests were performed on rocks with different hole number and diameters to investigate the peak strength, crack damage behavior, energy characteristics and failure modes under different confining pressures (3) and dissolution rates (). The results indicate that the uniaxial compressive strength and crack damage stress (cd) of hole‑bearing limestone are independent of the dissolution rate (). Under triaxial compression, the peak strength of hole‑bearing limestone can be described by a linear Mohr-Coulomb criterion. The cohesion (c) and crack damage ratio (cd/p) increase with the increase of dissolution rate (), with the maximum increases being 14.04% and 14.1%, respectively. The peak strength (p), frictional angle (), and energy storage coefficient (Ke) decrease with the increase of dissolution rate (), with the maximum decreases being 14.11%, 12.86%, and 9.72%, respectively. At the same dissolution rate, the pore diameter (d) exerts a more significant influence on the variations of various parameters in hole‑bearing limestone than the pore number (n). p, cd, cd/p, and Ke all increase with increasing confining pressure (3). The failure mode of hole‑bearing limestone is not affected by hole number, and exhibits a conical shear failure without penetrating through the specimen when the hole diameter is greater than 15mm. A fractal damage constitutive model was developed for hole‑bearing limestone, and the consistency between theoretical predictions and experimental results substantiates the validity of the proposed model. The concluding remarks can provide a basis for further research on the hole‑bearing limestone and karst landslides.

Key words: hole?bearing limestone, fractal dimension, crack damage stress, energy characteristic, constitutive model