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Experimental study on crack evolution behavior and constitutive model of granite based on the deviatoric stress to peak strength ratio

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Abstract

Rock crack evolution and propagation have an adverse effect on rock mass deformation and strength, so studying the crack evolution process is significant to rock engineering stability and safety. Tri-axial compression tests were carried out on granite from the Shuangjiangkou underground powerhouse to study the five stages of the crack evolution process, namely, the crack closure, elastic, stable crack growth, unstable crack growth, and post-peak stages. Rd, defined as the deviatoric stress to peak strength ratio, is introduced to analyze the test data. The confining pressure can influence the crack threshold stress, elastic modulus, and Poisson’s ratio. The crack closure ratio has a consistent exponential relationship with Rd under different confining pressures, and a unified constitutive model is proposed by introducing quasi-viscous, plastic, and elastic elements. This model can simultaneously and satisfactorily describe the whole axial and lateral crack evolution process and overcomes the shortcomings of previous models. In particular, the model can conveniently describe the post-peak stage behavior, revealing that the lateral deformation is notably greater than the axial deformation at the failure stage. Moreover, the model clarifies the rock mass macroscopic failure mechanism and has good application prospects in underground excavation damage research.

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Funding

The financial support came from the National Natural Science Foundation of China (grant number U1965203) and “The research on support time and deformation warning of surrounding rock of large underground cavern group under extremely high stress condition of Shuangjiangkou Hydropower” (grant number A147 SG).

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Authors and Affiliations

  1. State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resources and Hydropower, Sichuan University, Chengdu, 610065, China

    Li Qian, Tianzhi Yao, Zuguo Mo, Yunpeng Gao, Jianhai Zhang & Ru Zhang

  2. Power China Chengdu Engineering Corporation Limited, Chengdu, 610072, China

    Yonghong Li & Zhiguo Li

Authors
  1. Li Qian
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  2. Tianzhi Yao
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  3. Zuguo Mo
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  4. Yunpeng Gao
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  5. Jianhai Zhang
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  6. Yonghong Li
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  7. Ru Zhang
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  8. Zhiguo Li
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Correspondence to Jianhai Zhang.

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Qian, L., Yao, T., Mo, Z. et al. Experimental study on crack evolution behavior and constitutive model of granite based on the deviatoric stress to peak strength ratio. Bull Eng Geol Environ 81, 278 (2022). https://doi.org/10.1007/s10064-022-02777-x

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  • DOI: https://doi.org/10.1007/s10064-022-02777-x

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