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The compressive-shear fracture strength of rock containing water based on Druker-Prager failure criterion

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Abstract

The stresses at the tips of the compressive-sheared cracks were calculated by applying the superposition principle. Then, the principal stresses at the tips of the compressive-shear crack were obtained. According to the Druker-Prager criterion, a fracture criterion for the compressive-shear crack, verified reasonable, was proposed. In addition, considering the influence of water, the above criterion was modified to investigate the influence of water on the stress intensity factors of cracks. The results show that the third principal stress of the main crack surface significantly increases the rock strength when the internal friction angle of the rock is lower than crack inclination angle. However, when the internal friction angle is higher than crack inclination angle, the increase of water pressure dramatically decreases the rock strength. When the internal friction angle is equal to crack inclination angle, the influences of water pressure and the third principal stress on the rock strength are the same. In addition, when crack inclination angle is lower than 30°, the third principal stress greatly influences the rock strength.

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Funding

This research is supported by the National Natural Science Foundation of China (51774131, 51774107), the Natural Science Foundation of Hunan province (2015JJ2067), the CRSRI Open Research Program (CKWV2017508/KY), and the Open Projects of State Key Laboratory of Coal Resources and Safe Mining, CUMT (SKLCRSM16KF12).

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Authors and Affiliations

  1. Hunan Provincial Key Laboratory of Safe Mining Techniques of Coal Mines, Work Safety Key Lab on Prevention and Control of Gas and Roof Disasters for Southern Coal Mines, Hunan University of Science and Technology, Xiangtan, Hunan, China

    Yanlin Zhao & Liming Tang

  2. State Key Laboratory of Coal Resources and Safety Mining, China University of Mining and Technology, Xuzhou, Jiangsu, China

    Yanlin Zhao

  3. Hefei University of Technology, Hefei, Anhui, China

    Yixian Wang

Authors
  1. Yanlin Zhao
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  2. Yixian Wang
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  3. Liming Tang
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Corresponding author

Correspondence to Yixian Wang.

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Editorial handling: Murat Karakus

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Zhao, Y., Wang, Y. & Tang, L. The compressive-shear fracture strength of rock containing water based on Druker-Prager failure criterion. Arab J Geosci 12, 452 (2019). https://doi.org/10.1007/s12517-019-4628-1

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  • DOI: https://doi.org/10.1007/s12517-019-4628-1

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