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Strength and Failure Characteristics of an Irregular Columnar Jointed Rock Mass Under Polyaxial Stress Conditions

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Abstract

The special structure of a columnar jointed rock mass (CJRM) leads to its complex mechanical properties, and accurately gras** the strength and failure behaviors of CJRMs under different stress conditions is crucial for engineering safety. According to the natural structure of the CJRM, the Voronoi diagram and three-dimensional (3D) printing technology were used to make irregular columnar jointed molds with different dip angles. Uniaxial, conventional triaxial, and true triaxial compression tests were conducted on the artificial irregular CJRM (ICJRM) specimens. The effects of the dip angle, intermediate principal stress and minimum principal stress on the stress–strain curve and failure strength of the ICJRM were analyzed. The failure modes and mechanisms of ICJRM specimens under different stress conditions were summarized. For three types of jointed rock masses, including ICJRM, the material parameters in the Mohr–Coulomb (MC) and Hoek–Brown (HB) criteria were calculated only from the conventional triaxial test results. Six 3D strength criteria related to MC and HB parameters were used to predict the polyaxial failure strengths of three jointed rock masses, and the prediction performances were compared. The results show that the Mogi criterion using MC parameters has the best overall prediction effect on the failure strengths of three jointed rock masses, while the modified Lade criterion is the best choice for the ICJRM.

Highlights

  • Polyaxial compression tests, including uniaxial, conventional triaxial and true triaxial compression tests, are performed on the artificial irregular columnar jointed rock mass specimens.

  • The effects of the dip angle, intermediate principal stress and minimum principal stress on the failure strength behavior of irregular columnar jointed rock mass are revealed.

  • The failure modes and mechanisms of irregular columnar jointed rock mass specimens under different polyaxial stress conditions are summarized.

  • The feasibilities of using the Mohr–Coulomb and Hoek–Brown parameters obtained from the conventional triaxial test results to solve the true triaxial failure strength of jointed rock masses, including the irregular columnar jointed rock mass, are verified and compared.

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All data generated or analyzed during this study are available.

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Abbreviations

β :

Dip angle of column axis

E ci, σ ci :

Elastic modulus and uniaxial compression strength of column material, respectively

c j, φ j :

Cohesion and friction angle of joint filler, respectively

σ 1, σ 2, σ 3 :

Principal stresses

n :

Intermediate principal stress coefficient

R c :

Anisotropy ratio

σ 1 ,max, σ 1,min :

Maximum and minimum values of the failure strength under the same stress condition, respectively

R 2 :

R-Square value

AAREP:

Average absolute relative error percentage

r 2, r 3 :

Partial correlation coefficients of intermediate principal stress and minimum principal stress, respectively

Δr :

Partial correlation coefficient difference

c, φ :

Material parameters of Mohr–Coulomb criterion

m, s, a :

Material parameters of Hoek–Brown criterion

J 2 :

Second deviatoric stress invariant

I 1, I 3 :

First and third stress invariants, respectively

τ oct :

Octahedral shear stress

σ m ,2 :

Mean value of the maximum and minimum principal stresses

μ, k, η, S, A, B :

Empirical parameters related to the Mohr–Coulomb parameters

σ 1 ,pred :

Predicted results of failure strength

σ 1 ,exp :

Experimental results of failure strength

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Acknowledgements

This work was supported by the Fundamental Research Funds for the Central Universities, the Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant no. KYCX21_0487), and the National Natural Science Foundation of China (Grant nos. 41831278 and 51579081).

Funding

This work was supported by the Fundamental Research Funds for the Central Universities, the Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant no. KYCX21_0487), and the National Natural Science Foundation of China (Grant nos. 41831278 and 51579081).

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All the authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by XQ, LZ, ZN, and HH. The first draft of the manuscript was written by XQ and all the authors commented on previous versions of the manuscript. All the authors read and approved the final manuscript.

Corresponding author

Correspondence to Luming Zhou.

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Que, X., Zhu, Z., Zhou, L. et al. Strength and Failure Characteristics of an Irregular Columnar Jointed Rock Mass Under Polyaxial Stress Conditions. Rock Mech Rock Eng 55, 7223–7242 (2022). https://doi.org/10.1007/s00603-022-03023-2

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  • DOI: https://doi.org/10.1007/s00603-022-03023-2

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