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| Numerical simulation of rock tension-shear mixed failure process based on peridynamics method |
| HUA Tao, SHEN Linfang, WANG Zhiliang, LI Songbo, CHEN Qian, LI Ze |
| (Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, Yunnan 650500, China) |
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Abstract The complex failure process of natural rock masses is a primary factor contributing to the unpredictability of natural disasters. To gain a deeper understanding of rock mass failure modes, we propose a numerical model that simulates the mixed tension-shear failure process of rocks, based on the ordinary state-based peridynamics method. This model integrates the maximum principal stress criterion and the Mohr-Coulomb criterion into the material damage identification process. The propagation paths of tensile and shear cracks during rock failure are determined by evaluating the ratio of fracture energy released from different failure bonds to the total fracture energy. Additionally, corresponding quantification parameters are introduced to characterize crack propagation. The model’s effectiveness in identifying crack propagation is validated through uniaxial compression tests on rock samples with prefabricated cracks. Finally, we investigate the effects of confining pressure, inclination angle of prefabricated cracks, and the height-to-diameter ratio on crack propagation morphology, peak strength, and structural damage indices of the rock. The results demonstrate that confining pressure suppresses the expansion of tensile cracks. As confining pressure increases, the failure mode of rock samples gradually transitions from tensile splitting failure to mixed tension-shear failure, and ultimately to shear failure, significantly increasing peak strength. The inclination angle of prefabricated cracks influences peak strength by altering crack propagation morphology; when the inclination angle is 30°, the rock sample exhibits more tensile cracks, resulting in lower peak compressive strength. Conversely, at an inclination angle of 90°, the increase in shear cracks significantly enhances peak compressive strength. A decrease in the height-to-diameter ratio of the rock sample prolongs the coplanar shear crack extension path and increases the number of tensile cracks. Simultaneously, the friction effect at the end face is significantly enhanced, suppressing tensile crack expansion and consequently improving compressive strength.
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