The Failure Characteristics and Energy Evolution Pattern of Compound Coal–Rock under the Action of Cyclic Loading
Abstract
:1. Introduction
2. Cyclic Loading and Unloading Tests of Compound Coal–Rock
2.1. Project Overview
2.2. The Assembling of Combined Test Piece
2.3. Experimental Scheme
3. Failure Characteristics of Compound Coal–Rock
Analysis on the Deformation Characteristics
4. Results
Analysis of Failure Characteristics
5. Energy Evolution Pattern of Compound Coal–Rock
5.1. Energy Calculation Method
5.2. Energy Evolution Pattern
5.3. Energy Drive Mechanism
6. Discussion
7. Conclusions
- (1)
- Under cyclic loading, the failure of compound coal–rock presents a significant brittle fracture feature. With the increase in height of the coal body, the mechanical response of compound coal–rock gradually attenuates and the stress–strain curve moves in a positive direction. The hysteresis curve changes from dense to sparse, resulting in “hysteresis expansion”. The compaction process will improve the rigidity of the compound coal–rock.
- (2)
- The coal body is the main controlling factor of compound coal–rock failure. Under cyclic loading, cracks are first generated in the coal body, which extend to the rock body along the boundary of the coal and rock. Ultimately, the cracks will rapidly connect or the coal body will suddenly wear down, making them the major cause of compound coal–rock failure.
- (3)
- The energy evolution phases of compound coal–rock can better describe the failure process. They can be divided into the initial accumulation phase, the rapid accumulation phase, and the fast dissipation phase. Generally, energy shows a non-linear growth and can be described by a quadratic function. The growth rate is slow for the density of input energy, elastic energy, and dissipation energy in the early loading stage, which is similar to the compact phase for the deformation of a coal–rock body. In the elastic deformation phase, the energy density shows linear growth. A large amount of energy has been accumulated. With the surge in dissipation energy, the compound coal–rock enters the unstable fracture development stage. In the evolution process, coal and rock deform at the same time. The coal–rock system accumulates energy. When it reaches the limit, the compound coal–rock is destroyed because of the instability.
- (4)
- The roof and floor surround the coal bed to be mined, forming a locked area. In this area, the concentrated stress and high elastic energy provide a natural environment for the accumulation and evolution of energy in the coal–rock system. Meanwhile, cyclic fluctuations during mining constantly provide input energy into the system. When the critical energy of the impact ground pressure is reached, the process will be activated and impact ground pressure will be formed. Both the elastic energy in the coal bed and the coal–rock system will increase the risk of the impact ground pressure.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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No. | Ratio of Coal and Rock | Size/mm × mm | Travel Time/Μs | Wave Velocity/M·S−1 |
---|---|---|---|---|
RC-25-1 | 1:3 | φ50.02 × 98.21 | 32.5 | 3021.85 |
RC-25-2 | φ51.22 × 100.05 | 33.7 | 2968.84 | |
RC-25-3 | φ50.43 × 100.59 | 35.6 | 2825.56 | |
RC-50-1 | 1:1 | φ49.86 × 98.50 | 52.3 | 1883.37 |
RC-50-2 | φ48.98 × 99.96 | 53.1 | 1882.49 | |
RC-50-3 | φ51.11 × 101.41 | 55.1 | 1840.47 | |
RC-75-1 | 3:1 | φ50.79 × 101.50 | 75.8 | 1339.05 |
RC-75-2 | φ51.38 × 99.08 | 74.7 | 1326.37 | |
RC-75-3 | φ50.6 × 98.83 | 73.7 | 1340.98 |
No. | Ratio of Coal and Rock | Failure Strength/Mpa | Cycles/N | Elastic Modulus/Gpa | Failure Shape |
---|---|---|---|---|---|
RC-25-1 | 1:3 | 24.13 | 18 | 4.98 | Coal body bursts and rock shows a lightning-shaped crack |
RC-25-2 | 23.19 | 17 | 4.83 | ||
RC-25-3 | 22.10 | 16 | 4.64 | ||
Average value | 23.14 | 17 | 4.87 | ||
RC-50-1 | 1:1 | 16.28 | 13 | 4.47 | Coal body bursts and rock surface peeling off |
RC-50-2 | 15.79 | 12 | 4.38 | ||
RC-50-3 | 13.92 | 11 | 4.23 | ||
Average value | 23.14 | 17 | 4.87 | ||
RC-75-1 | 3:1 | 11.24 | 8 | 3.80 | Coal body breaks and rock shows micro cracks |
RC-75-2 | 9.92 | 6 | 3.72 | ||
RC-75-3 | 8.55 | 4 | 3.31 | ||
Average value | 9.92 | 6 | 3.61 |
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Zhang, G.; Wang, L.; Qin, T.; Li, J.; Liu, G.; Li, Y. The Failure Characteristics and Energy Evolution Pattern of Compound Coal–Rock under the Action of Cyclic Loading. Sustainability 2023, 15, 4133. https://doi.org/10.3390/su15054133
Zhang G, Wang L, Qin T, Li J, Liu G, Li Y. The Failure Characteristics and Energy Evolution Pattern of Compound Coal–Rock under the Action of Cyclic Loading. Sustainability. 2023; 15(5):4133. https://doi.org/10.3390/su15054133
Chicago/Turabian StyleZhang, Guohua, Lei Wang, Tao Qin, Ji Li, Gang Liu, and Yubo Li. 2023. "The Failure Characteristics and Energy Evolution Pattern of Compound Coal–Rock under the Action of Cyclic Loading" Sustainability 15, no. 5: 4133. https://doi.org/10.3390/su15054133
APA StyleZhang, G., Wang, L., Qin, T., Li, J., Liu, G., & Li, Y. (2023). The Failure Characteristics and Energy Evolution Pattern of Compound Coal–Rock under the Action of Cyclic Loading. Sustainability, 15(5), 4133. https://doi.org/10.3390/su15054133