Numerical Study of the Strength and Characteristics of Sandstone Samples with Combined Double Hole and Double Fissure Defects
Abstract
:1. Introduction
2. Model Establishment and Parameter Selection
2.1. Selection of Micro Parameters
2.1.1. Particle Flow Code
2.1.2. Determination of Microscopic Parameters
2.2. Model Establishment
3. Analysis of Test Results
3.1. The Stress–Strain Curve of Rock with Combined Holes and Defects
3.2. Crack Initiation Stress
3.3. Crack Damage Stress
3.4. Elastic Modulus
3.5. Peak Stress
3.6. Peak Strain
4. Failure Characteristics and Stress Evolution of Specimens
4.1. Analysis of the Failure Characteristics of Rock with Combined Double Hole and Double Fissure Defects at Different Angles
4.2. Analysis of Force Chain Contact and Stress Evolution Results
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Parameter | Value | Parameter | Value |
---|---|---|---|
Porosity, e | 0.1 | Minimum particle diameter, rmin | 0.2 |
Parallel bond cohesive force, Fc (MPa) | 22 | Particle density, ρ (kg/m3) | 2500 |
Particle size ratio, s | 1.4 | Particle contact modulus, Ep (GPa) | 2.5 |
Parallel bond tensile strength, Ft (MPa) | 15 | Friction angle of parallel bond, θ (°) | 50 |
Elastic Modulus, Ei (GPa) | Peak Strength, σmax (MPa) | Poisson’s Ratio, v | |
---|---|---|---|
Experimental results | 6.24 | 52.93 | 0.14 |
Numerical results | 6.28 | 57.16 | 0.16 |
Relative difference | 0.04 | 4.23 | 0.02 |
Category | σmax (MPa) | εmax (MPa) | Ei (GPa) | σci (MPa) | σcd (MPa) | Number of Cracks |
---|---|---|---|---|---|---|
Intact rock | 57.16 | 9.22 | 6.28 | 28.70 | 57.06 | 8615 |
Angle of 90° | 43.25 | 7.79 | 5.71 | 20.84 | 47.25 | 6824 |
Angle of 75° | 43.68 | 8.00 | 5.64 | 17.82 | 43.61 | 6353 |
Angle of 60° | 37.77 | 7.14 | 5.45 | 10.37 | 37.77 | 4396 |
Angle of 45° | 32.92 | 6.86 | 5.15 | 9.37 | 32.78 | 3713 |
Angle of 30° | 32.38 | 6.97 | 4.83 | 9.99 | 32.30 | 5253 |
Angle of 15° | 25.84 | 6.25 | 4.68 | 9.55 | 25.83 | 3535 |
Angle of 0° | 27.64 | 6.31 | 4.54 | 8.91 | 27.64 | 2891 |
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Ma, J.; Jiang, N.; Wang, X.; Jia, X.; Yao, D. Numerical Study of the Strength and Characteristics of Sandstone Samples with Combined Double Hole and Double Fissure Defects. Sustainability 2021, 13, 7090. https://doi.org/10.3390/su13137090
Ma J, Jiang N, Wang X, Jia X, Yao D. Numerical Study of the Strength and Characteristics of Sandstone Samples with Combined Double Hole and Double Fissure Defects. Sustainability. 2021; 13(13):7090. https://doi.org/10.3390/su13137090
Chicago/Turabian StyleMa, Junbiao, Ning Jiang, Xujun Wang, Xiaodong Jia, and Dehao Yao. 2021. "Numerical Study of the Strength and Characteristics of Sandstone Samples with Combined Double Hole and Double Fissure Defects" Sustainability 13, no. 13: 7090. https://doi.org/10.3390/su13137090