Have a personal or library account? Click to login
Effect of flaw inclination angle and crack arrest holes on mechanical behavior and failure mechanism of pre-cracked granite under uniaxial compression Cover

Effect of flaw inclination angle and crack arrest holes on mechanical behavior and failure mechanism of pre-cracked granite under uniaxial compression

Applied Rheology
Volume 35 (2025): Issue 1 (January 2025)
By: Yanzhang Li,  Chunyang Zhang,  Wenquan Duan and  Tao Tan  
Open Access
|Jun 2025

Figures & Tables

Figure 1

Schematic diagram of the cohesive model and its micromechanical behavior: (a) contact bond model and (b) parallel bond model.
Schematic diagram of the cohesive model and its micromechanical behavior: (a) contact bond model and (b) parallel bond model.

Figure 2

Comparation between the numerical results and test results.
Comparation between the numerical results and test results.

Figure 3

Typical numerical model and its dimensions.
Typical numerical model and its dimensions.

Figure 4

Stress–strain curves of pre-cracked specimens: (a) no crack arrest hole and (b) set crack arrest hole.
Stress–strain curves of pre-cracked specimens: (a) no crack arrest hole and (b) set crack arrest hole.

Figure 5

Strength and deformation of specimens: (a) peak stress and (b) apparent stiffness E.
Strength and deformation of specimens: (a) peak stress and (b) apparent stiffness E.

Figure 6

The initiation and growth of cracks in specimens without crack arrest holes at different FA α under different characteristic stresses: (a) α = 0°, (b) α = 30°, (c) α = 45°, (d) α = 60°, and (e) α = 90°.
The initiation and growth of cracks in specimens without crack arrest holes at different FA α under different characteristic stresses: (a) α = 0°, (b) α = 30°, (c) α = 45°, (d) α = 60°, and (e) α = 90°.

Figure 7

The initiation and growth of cracks in specimens with crack arrest holes at different flaw inclination FA α under different characteristic stresses: (a) α = 0°, (b) α = 30°, (c) α = 45°, (d) α = 60°, and (e) α = 90°.
The initiation and growth of cracks in specimens with crack arrest holes at different flaw inclination FA α under different characteristic stresses: (a) α = 0°, (b) α = 30°, (c) α = 45°, (d) α = 60°, and (e) α = 90°.

Figure 8

Setting scheme and principle for measurement circles.
Setting scheme and principle for measurement circles.

Figure 9

Effect of FA α and crack arrest hole on stress field distribution: (a) α = 0°, (b) α = 30°, (c) α = 45°, (d) α = 60°, and (e) α = 90°.
Effect of FA α and crack arrest hole on stress field distribution: (a) α = 0°, (b) α = 30°, (c) α = 45°, (d) α = 60°, and (e) α = 90°.

Figure 10

The variation law of tensile stress and compressive stress, as well as the influence of crack arrest holes: (a) maximum tensile stress at the central circular hole, (b) maximum compressive stress at the central circular hole, (c) maximum tensile stress near the straight crack tip, and (d) maximum compressive stress near the straight crack tip.
The variation law of tensile stress and compressive stress, as well as the influence of crack arrest holes: (a) maximum tensile stress at the central circular hole, (b) maximum compressive stress at the central circular hole, (c) maximum tensile stress near the straight crack tip, and (d) maximum compressive stress near the straight crack tip.

Figure 11

Principles of crack initiation and specimen failure: (a) schematic diagram of the specimen with a central circular hole, (b) crack initiation of the specimen with a central circular hole, (c) failure mode of the specimen with a central circular hole, (d) the crack initiation of the composite specimen with α = 0°, and (e) the crack initiation of the composite specimen with α = 90°.
Principles of crack initiation and specimen failure: (a) schematic diagram of the specimen with a central circular hole, (b) crack initiation of the specimen with a central circular hole, (c) failure mode of the specimen with a central circular hole, (d) the crack initiation of the composite specimen with α = 0°, and (e) the crack initiation of the composite specimen with α = 90°.

Figure 12

Influence of FA α on CA θ: (a) α = 30°, (b) α = 45°, and (c) α = 60°.
Influence of FA α on CA θ: (a) α = 30°, (b) α = 45°, and (c) α = 60°.

Figure 13

Influence of stress field distribution on CA θ of specimens with different FA α: (a) α = 0°, (b) α = 30°, (c) α = 45°, (d) α = 60°, and (e) α = 90°.
Influence of stress field distribution on CA θ of specimens with different FA α: (a) α = 0°, (b) α = 30°, (c) α = 45°, (d) α = 60°, and (e) α = 90°.

Figure 14

The variation law of stress–strain curves under different arrangements of crack arrest holes: (a) specimen with a central circular hole and (b) specimen with a straight crack (α = 45°).
The variation law of stress–strain curves under different arrangements of crack arrest holes: (a) specimen with a central circular hole and (b) specimen with a straight crack (α = 45°).

Figure 15

Stress–strain curves under three setting methods of crack arrest holes.
Stress–strain curves under three setting methods of crack arrest holes.

Mesoscopic parameters for numerical simulation

Mesoscopic parametersValue
Density of ball, ρ/(kg m−3)2,800
Porosity0.05
Minimum particle radius, R min /mm {R}_{\min }\text{/mm} 0.3
Particle radius ratio, R rat {R}_{\text{rat}} 1.66
Particle friction coefficient, μ \mu 0.5
Contact bond modulus, E c /GPa {E}_{\text{c}}\text{/GPa} 18.0
Contact bond stiffness ratio, k n / k s {k}_{n}/{k}_{\text{s}} 1.8
Parallel bond modulus, E c ¯ /GPa \overline{{E}_{\text{c}}}\text{/GPa} 18.0
Parallel bond stiffness ratio, k n ¯ / k s ¯ \overline{{k}_{n}}/\overline{{k}_{\text{s}}} 1.8
Parallel bond tensile strength, σ n /MPa {\sigma }_{n}\text{/MPa} 48.5
Parallel bond cohesion, τ n /MPa {\tau }_{n}\text{/MPa} 97.0
Parallel bond radius multiplier, β ¯ \overline{\beta } 1.0
Parallel bond friction angle, φ / ( ° ) {\varphi }\text{/}(\text{°}) 30
DOI: https://doi.org/10.1515/arh-2025-0041 | Journal eISSN: 1617-8106
Journal RSS Feed
Language: English
Submitted on: Jan 5, 2025
Accepted on: Apr 15, 2025
Published on: Jun 20, 2025
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Keywords:
pre-cracked rock,
crack arrest hole,
discrete element method,
numerical simulation,
maximum circumferential stress criterion,
stress field
Related subjects:
Physics,
Mechanics and fluid dynamics,
Materials sciences,
Polymers,
Industrial chemistry,
Polymer science and technology,
Chemistry,
Macromolecular chemistry

© 2025 Yanzhang Li, Chunyang Zhang, Wenquan Duan, Tao Tan, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 License.

Previous articleVolume 35 (2025): Issue 1 (January 2025)Next article