Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions
To study the effects of rock models with different fractal dimensions on their mechanical properties and fracture behavior, three representative numerical rock models, including the digital texture model, the Voronoi polygon model, and the Weibull distribution model, are established in this paper. T...
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MDPI AG
2024-12-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/1/13 |
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| author | Run Shi Huaiguang Xiao |
| author_facet | Run Shi Huaiguang Xiao |
| author_sort | Run Shi |
| collection | DOAJ |
| description | To study the effects of rock models with different fractal dimensions on their mechanical properties and fracture behavior, three representative numerical rock models, including the digital texture model, the Voronoi polygon model, and the Weibull distribution model, are established in this paper. These models are used to simulate the structure of multi-mineral rocks and to investigate the influence of fractal dimensions on the mechanical properties and fracture behavior of rocks. Uniaxial compression numerical tests are carried out on 2D and 3D intact rocks under different fractal dimensions using the particle flow simulation method. The relationship between fractal dimensions and uniaxial compression strength and fracture behavior was analyzed. The results show that the fractal dimension of the Weibull distribution model is the largest, followed by the digital texture model, and the fractal dimension of the Voronoi polygon model is the smallest. With the increase in fractal dimension, the uniaxial compressive strength of intact rocks increases significantly, and their relationship is approximately linear. The influence of fractal dimension on rock strength shows a similar trend in both the 2D and 3D models. This study provides a new perspective for the application of fractal dimensions in multi-mineral rock models. |
| format | Article |
| id | doaj-art-4cde6188496548b9a6d5393f80dc1cb6 |
| institution | Kabale University |
| issn | 2504-3110 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-4cde6188496548b9a6d5393f80dc1cb62025-01-24T13:33:22ZengMDPI AGFractal and Fractional2504-31102024-12-01911310.3390/fractalfract9010013Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal DimensionsRun Shi0Huaiguang Xiao1Department of Civil Engineering, Monash University, Clayton, VIC 3800, AustraliaSchool of Civil Engineering, Southeast University, Nanjing 211189, ChinaTo study the effects of rock models with different fractal dimensions on their mechanical properties and fracture behavior, three representative numerical rock models, including the digital texture model, the Voronoi polygon model, and the Weibull distribution model, are established in this paper. These models are used to simulate the structure of multi-mineral rocks and to investigate the influence of fractal dimensions on the mechanical properties and fracture behavior of rocks. Uniaxial compression numerical tests are carried out on 2D and 3D intact rocks under different fractal dimensions using the particle flow simulation method. The relationship between fractal dimensions and uniaxial compression strength and fracture behavior was analyzed. The results show that the fractal dimension of the Weibull distribution model is the largest, followed by the digital texture model, and the fractal dimension of the Voronoi polygon model is the smallest. With the increase in fractal dimension, the uniaxial compressive strength of intact rocks increases significantly, and their relationship is approximately linear. The influence of fractal dimension on rock strength shows a similar trend in both the 2D and 3D models. This study provides a new perspective for the application of fractal dimensions in multi-mineral rock models.https://www.mdpi.com/2504-3110/9/1/13fractal dimensionrockfailure modegrain-based modelPFC |
| spellingShingle | Run Shi Huaiguang Xiao Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions Fractal and Fractional fractal dimension rock failure mode grain-based model PFC |
| title | Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions |
| title_full | Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions |
| title_fullStr | Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions |
| title_full_unstemmed | Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions |
| title_short | Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions |
| title_sort | particle flow simulation of the mechanical properties and fracture behavior of multi mineral rock models with different fractal dimensions |
| topic | fractal dimension rock failure mode grain-based model PFC |
| url | https://www.mdpi.com/2504-3110/9/1/13 |
| work_keys_str_mv | AT runshi particleflowsimulationofthemechanicalpropertiesandfracturebehaviorofmultimineralrockmodelswithdifferentfractaldimensions AT huaiguangxiao particleflowsimulationofthemechanicalpropertiesandfracturebehaviorofmultimineralrockmodelswithdifferentfractaldimensions |