The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial Compression
To study the influence of the spatial distribution and structure of multi-scale cracks on the mechanical behavior of rocks, triaxial compression tests and cyclic triaxial complete loading and unloading tests were conducted on sandstone, with real-time wave velocity monitoring and CT scan testing. Th...
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MDPI AG
2025-01-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/1/51 |
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| author | Pengjin Yang Shengjun Miao Kesheng Li Xiangfan Shang Pengliang Li Meifeng Cai |
| author_facet | Pengjin Yang Shengjun Miao Kesheng Li Xiangfan Shang Pengliang Li Meifeng Cai |
| author_sort | Pengjin Yang |
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| description | To study the influence of the spatial distribution and structure of multi-scale cracks on the mechanical behavior of rocks, triaxial compression tests and cyclic triaxial complete loading and unloading tests were conducted on sandstone, with real-time wave velocity monitoring and CT scan testing. The quantitative classification criteria for multi-scale cracks on sandstone were established, and the constraint effect of confining pressure was analyzed. The crack with a length less than 0.1 mm is considered a small-scale crack, 0.1–1 mm is a medium-scale crack, and larger than 1 mm is a large-scale crack. As the confining pressure increases, the spatial fractal dimension of large-scale cracks decreases, while that of medium-scale cracks increases, and that of small-scale cracks remains stable. The respective nonlinear models of the aspect ratio were established with the length and density of multi-scale cracks. The results indicate significant differences in the effects of cracks of different scales on rock damage. The distribution density of medium-scale cracks in the failed specimen is higher, which is the main reason to produce damage. The small-scale cracks mainly originate from relatively uniform initial cracks in rocks, mainly distributed in medium-density and low-density areas. The results of this research provide important insights into how to quantitatively evaluate the damage of rocks. |
| format | Article |
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| institution | Kabale University |
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| language | English |
| publishDate | 2025-01-01 |
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| series | Fractal and Fractional |
| spelling | doaj-art-beb3d863d177499cb61033e3e370b5282025-01-24T13:33:30ZengMDPI AGFractal and Fractional2504-31102025-01-01915110.3390/fractalfract9010051The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial CompressionPengjin Yang0Shengjun Miao1Kesheng Li2Xiangfan Shang3Pengliang Li4Meifeng Cai5Civil and Resource Engineering School, University of Science and Technology Beijing, Beijing 100083, ChinaCivil and Resource Engineering School, University of Science and Technology Beijing, Beijing 100083, ChinaState Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaCivil and Resource Engineering School, University of Science and Technology Beijing, Beijing 100083, ChinaState Key Laboratory of Explosion Science and Safety Protection, Beijing Institute of Technology, Beijing 100081, ChinaCivil and Resource Engineering School, University of Science and Technology Beijing, Beijing 100083, ChinaTo study the influence of the spatial distribution and structure of multi-scale cracks on the mechanical behavior of rocks, triaxial compression tests and cyclic triaxial complete loading and unloading tests were conducted on sandstone, with real-time wave velocity monitoring and CT scan testing. The quantitative classification criteria for multi-scale cracks on sandstone were established, and the constraint effect of confining pressure was analyzed. The crack with a length less than 0.1 mm is considered a small-scale crack, 0.1–1 mm is a medium-scale crack, and larger than 1 mm is a large-scale crack. As the confining pressure increases, the spatial fractal dimension of large-scale cracks decreases, while that of medium-scale cracks increases, and that of small-scale cracks remains stable. The respective nonlinear models of the aspect ratio were established with the length and density of multi-scale cracks. The results indicate significant differences in the effects of cracks of different scales on rock damage. The distribution density of medium-scale cracks in the failed specimen is higher, which is the main reason to produce damage. The small-scale cracks mainly originate from relatively uniform initial cracks in rocks, mainly distributed in medium-density and low-density areas. The results of this research provide important insights into how to quantitatively evaluate the damage of rocks.https://www.mdpi.com/2504-3110/9/1/51rock mechanicsmulti-scale cracksfractal dimensionaspect ratio of cracksdamage effect |
| spellingShingle | Pengjin Yang Shengjun Miao Kesheng Li Xiangfan Shang Pengliang Li Meifeng Cai The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial Compression Fractal and Fractional rock mechanics multi-scale cracks fractal dimension aspect ratio of cracks damage effect |
| title | The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial Compression |
| title_full | The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial Compression |
| title_fullStr | The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial Compression |
| title_full_unstemmed | The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial Compression |
| title_short | The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial Compression |
| title_sort | fractal dimension structure characteristics and damage effects of multi scale cracks on sandstone under triaxial compression |
| topic | rock mechanics multi-scale cracks fractal dimension aspect ratio of cracks damage effect |
| url | https://www.mdpi.com/2504-3110/9/1/51 |
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