Micro-Mechanism of Spherical Gypsum Particle Breakage under Ball–Plane Contact Condition
Abstract
:1. Introduction
2. Experimental Study
2.1. Material and Methods
2.2. Results
2.2.1. Mechanical Characteristics
2.2.2. Breakage Behavior
3. Numerical Simulation
3.1. Flat-Joint Model
3.2. Model Calibration and Validation
- The unconfined compressive strength is sensitive to , as well as and ;
- The tensile strength is highly sensitive to and can be affected by ;
- The elastic modulus is highly sensitive to and ;
- Poisson’s ratio is sensitive to and will be affected by and .
3.3. Results
3.3.1. Mechanical Characteristics
3.3.2. Breakage Behavior
4. Discussion
5. Conclusions
- (1)
- The particle breakage a under ball–plane contact condition was an instantaneous brittle fracture. A cone core could be found under the contact area after breakage.
- (2)
- The flat-joint model in PFC is suitable for simulating brittle rock material, such that the results of simulation were well fitted with the results of the experiment. By means of numerical simulation, the mechanism of particle contact breakage was observed from a micromechanics angle.
- (3)
- During the loading process, the cone core would be formed by shear cracks under the contact region. The tensile stress caused by the loading force and by the penetration of the cone core would finally exceeds its strength, that the overall breakage occurs.
Author Contributions
Funding
Conflicts of Interest
References
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Unconfined Compressive Strength | Elastic Modulus | Poisson’s Ratio | Tensile Strength | Specific Gravity |
---|---|---|---|---|
41.49 MPa | 7.17 GPa | 0.31 | 2.84 MPa | 2.65 |
Parameters | Value |
---|---|
(GPa) | 6.0, 8.0, 12.0 |
2.0, 2.5, 3.0 | |
0.3, 0.5, 0.8 | |
(MPa) | 3.0, 5.0, 8.0 |
(MPa) | 20.0, 30.0, 60.0 |
(°) | 25.0, 30.0, 35.0 |
Parameters | Value |
---|---|
(kg/m3) | 2650 |
1 | |
3 | |
0 | |
1 | |
(m) | 2.0 × 10−4 |
1.0 | |
(GPa) | 8.0 |
3.0 | |
0.577 | |
(MPa) | 4.0 |
(MPa) | 23.0 |
(°) | 30.0 |
Unconfined Compressive Strength | Elastic Modulus | Poisson’s Ratio | Tensile Strength | Specific Gravity |
---|---|---|---|---|
40.97 MPa | 7.58 GPa | 0.29 | 2.87 MPa | 2.65 |
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Yu, S.; Jia, M.; Zhou, J.; Zhao, C.; Li, L. Micro-Mechanism of Spherical Gypsum Particle Breakage under Ball–Plane Contact Condition. Appl. Sci. 2019, 9, 4795. https://doi.org/10.3390/app9224795
Yu S, Jia M, Zhou J, Zhao C, Li L. Micro-Mechanism of Spherical Gypsum Particle Breakage under Ball–Plane Contact Condition. Applied Sciences. 2019; 9(22):4795. https://doi.org/10.3390/app9224795
Chicago/Turabian StyleYu, Shicai, Mincai Jia, Jian Zhou, Cheng Zhao, and Lin Li. 2019. "Micro-Mechanism of Spherical Gypsum Particle Breakage under Ball–Plane Contact Condition" Applied Sciences 9, no. 22: 4795. https://doi.org/10.3390/app9224795