Abstract
In high in-situ stress zones, cataclastic rocks have exerted a significant influence on the stability of engineering structures. However, the mechanical properties of cataclastic rocks can not be accurately studied due to difficulties in sampling and laboratory testing. In this paper, laterally confined compression tests for specimens that were obtained by the developed in-situ sampling devices were performed to investigate the stress states. A modified thick-walled cylinder model considering axial shear stress was introduced. The interaction mechanics model for a compressed sample and an equivalent single-layer cylinder was established. Based on the principle of elasticity, the laterally confined stress, the axial shear stress, and the axial stress of the sample were derived and obtained. Moreover, the effects of mechanical and geometric parameters of the equivalent cylinder on the force condition of the specimen were analyzed. The results show that the confined stress is positively correlated with the equivalent elastic modulus and the geometric factor. Therefore, the confined stress can be strengthened by increasing the elastic modulus, alternatively, increasing the outer diameter and decreasing the inner diameter. However, the axial stress is little affected by the equivalent elastic modulus and the geometric factor and is not affected by the equivalent Poisson’s ratio. As the distance from the center height increases, the axial stress decreases linearly and the difference in axial stress becomes larger considering axial shear stress and ignoring axial shear stress.
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Abbreviations
- a :
-
Inner radius of the cylinder
- b :
-
Outer radius of the cylinder
- a 1 :
-
Inner radius of the external steel cylinder
- b 1 :
-
Outer radius of the external steel cylinder
- a 3 :
-
Inner radius of the inner steel cylinder
- b 3 :
-
Outer radius of the inner steel cylinder
- E 1 :
-
Elastic modulus of the external steel cylinder
- E 2 :
-
Elastic modulus of the epoxy mortar
- E 3 :
-
Elastic modulus of the inner steel cylinder
- E e :
-
Equivalent elastic modulus
- E′:
-
Elastic modulus in plane strain physical equation
- F :
-
Total axial force applied to the sample
- f :
-
Friction force between the specimen and the equivalent single-layer cylinder
- k 1 :
-
Shear stress coefficient
- k 3 :
-
Intercept in the shear stress equation on the inside wall of the cylinder
- V 1 :
-
Volume of the external steel cylinder
- V 2 :
-
Volume of the epoxy mortar layer
- V 3 :
-
Volume of the inner steel cylinder
- 2l :
-
Original length of the sample
- q 3 :
-
Normal stress on the inside wall of the inner steel cylinder
- q a :
-
Internal pressure equalization of the cylinder
- q b :
-
External pressure equalizationof the cylinder
- φ :
-
Stress function
- σ 3 :
-
Laterally confined stress of the rock sample
- σ 1 :
-
Axial stress of the rock specimen
- σ r :
-
Radial normal stress
- σ z :
-
Longitudinal normal stress
- σ θ :
-
Circular normal stress
- τ rθ :
-
Shear stress in θ direction on plane r
- τ rz :
-
Shear stress in z direction on plane r (Axial shear stress)
- μ 1 :
-
Poisson’s ratio of the external steel cylinder
- μ 2 :
-
Poisson’s ratio of the epoxy mortar layer
- μ 3 :
-
Poisson’s ratio of the inner steel cylinder
- μ e :
-
Equivalent Poisson’s ratio
- μ′:
-
Poisson’s ratio in plane strain physical equation
- ε θ :
-
Circular normal strain
- ε θ1 :
-
Circular normal strain (measured by experiment) at the midpoint height (z = 0) on the outside wall of the equivalent cylinder
- ε z :
-
Longitudinal normal strain
- ε z1 :
-
Axial normal strain (measured by experiment) at the midpoint height (z = 0) on the outside wall of the equivalent cylinder
- (ε z)A2 :
-
Axial normal strain at A2 height on the outside wall of the equivalent cylinder
- (ε z)B2 :
-
Axial normal strain at B2 height on the outside wall of the equivalent cylinder
- δ :
-
Geometrical factor of the equivalent cylinder
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Acknowledgments
This research was supported by the National Natural Science Foundation of China (No. 51808458) and Natural Science Foundation of Sichuan Province (No. 2022NSFSC0403).
The author thanks Associate Professor Zhibin Zhong for his support to the project. The authors would like to express sincere gratitude to the editors and reviewers for their valuable suggestions.
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Zhang, J., Deng, R., Zhong, Z. et al. An Investigation on Stress States of the Cataclastic Rock Specimen under Confined Compression Based on Modified Thick-walled Cylinder Model. KSCE J Civ Eng 27, 4215–4227 (2023). https://doi.org/10.1007/s12205-023-0097-x
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DOI: https://doi.org/10.1007/s12205-023-0097-x