Correlation Analysis of Macro–Micro Parameters of Sandstone Based on PFC<sup>3D</sup>
To address the issue of the low compression–tension ratio in the traditional parallel bond model (PBM), this study proposes an improved PBM incorporating a random distribution strategy of strong–weak contact groups. An <i>L</i><sub>27</sub>(3<sup>12</sup>) orthogo...
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| Language: | English |
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MDPI AG
2025-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/15/14/7878 |
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| author | Guohua Zhang Qingqing Liu Yubo Li Zibo Li Ke Jing Tao Qin |
| author_facet | Guohua Zhang Qingqing Liu Yubo Li Zibo Li Ke Jing Tao Qin |
| author_sort | Guohua Zhang |
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| description | To address the issue of the low compression–tension ratio in the traditional parallel bond model (PBM), this study proposes an improved PBM incorporating a random distribution strategy of strong–weak contact groups. An <i>L</i><sub>27</sub>(3<sup>12</sup>) orthogonal experimental design was employed to construct 27 sets of numerical simulation schemes. Combined with Pearson correlation coefficient analysis and multivariate regression, the influence of twelve microscopic parameters on seven of the macroscopic mechanical properties of sandstone was systematically investigated, including elastic modulus (<i>E</i>), Poisson’s ratio (<i>v</i>), uniaxial compressive strength (<i>σ<sub>c</sub></i>), internal friction angle (<i>φ</i>), cohesion (<i>c</i>), crack damage stress ratio (<i>σ<sub>cd</sub></i>/<i>σ<sub>c</sub></i>), and compressive–tensile strength ratio (<i>σ<sub>c</sub></i>/<i>σ<sub>t</sub></i>). Based on these analyses, a quantitative relationship model between the macro and micro parameters was established and validated through numerical simulation and experimental comparison. The proposed method provides a theoretical foundation for the mechanical modeling of sandstone and the inversion of microscopic parameters. |
| format | Article |
| id | doaj-art-9f676b8a4871476cb5789f1bf9d61708 |
| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-9f676b8a4871476cb5789f1bf9d617082025-08-20T03:58:30ZengMDPI AGApplied Sciences2076-34172025-07-011514787810.3390/app15147878Correlation Analysis of Macro–Micro Parameters of Sandstone Based on PFC<sup>3D</sup>Guohua Zhang0Qingqing Liu1Yubo Li2Zibo Li3Ke Jing4Tao Qin5College of Mining Engineering, Heilongjiang University of Science and Technology, Harbin 150022, ChinaCollege of Mining Engineering, Heilongjiang University of Science and Technology, Harbin 150022, ChinaCollege of Safety Engineering, Heilongjiang University of Science and Technology, Harbin 150022, ChinaCollege of Safety Engineering, Heilongjiang University of Science and Technology, Harbin 150022, ChinaCollege of Mining Engineering, Heilongjiang University of Science and Technology, Harbin 150022, ChinaCollege of Mining Engineering, Heilongjiang University of Science and Technology, Harbin 150022, ChinaTo address the issue of the low compression–tension ratio in the traditional parallel bond model (PBM), this study proposes an improved PBM incorporating a random distribution strategy of strong–weak contact groups. An <i>L</i><sub>27</sub>(3<sup>12</sup>) orthogonal experimental design was employed to construct 27 sets of numerical simulation schemes. Combined with Pearson correlation coefficient analysis and multivariate regression, the influence of twelve microscopic parameters on seven of the macroscopic mechanical properties of sandstone was systematically investigated, including elastic modulus (<i>E</i>), Poisson’s ratio (<i>v</i>), uniaxial compressive strength (<i>σ<sub>c</sub></i>), internal friction angle (<i>φ</i>), cohesion (<i>c</i>), crack damage stress ratio (<i>σ<sub>cd</sub></i>/<i>σ<sub>c</sub></i>), and compressive–tensile strength ratio (<i>σ<sub>c</sub></i>/<i>σ<sub>t</sub></i>). Based on these analyses, a quantitative relationship model between the macro and micro parameters was established and validated through numerical simulation and experimental comparison. The proposed method provides a theoretical foundation for the mechanical modeling of sandstone and the inversion of microscopic parameters.https://www.mdpi.com/2076-3417/15/14/7878strong–weak contact groupsorthogonal experimental designregression analysiscompression–tension ratiodiscrete element method |
| spellingShingle | Guohua Zhang Qingqing Liu Yubo Li Zibo Li Ke Jing Tao Qin Correlation Analysis of Macro–Micro Parameters of Sandstone Based on PFC<sup>3D</sup> Applied Sciences strong–weak contact groups orthogonal experimental design regression analysis compression–tension ratio discrete element method |
| title | Correlation Analysis of Macro–Micro Parameters of Sandstone Based on PFC<sup>3D</sup> |
| title_full | Correlation Analysis of Macro–Micro Parameters of Sandstone Based on PFC<sup>3D</sup> |
| title_fullStr | Correlation Analysis of Macro–Micro Parameters of Sandstone Based on PFC<sup>3D</sup> |
| title_full_unstemmed | Correlation Analysis of Macro–Micro Parameters of Sandstone Based on PFC<sup>3D</sup> |
| title_short | Correlation Analysis of Macro–Micro Parameters of Sandstone Based on PFC<sup>3D</sup> |
| title_sort | correlation analysis of macro micro parameters of sandstone based on pfc sup 3d sup |
| topic | strong–weak contact groups orthogonal experimental design regression analysis compression–tension ratio discrete element method |
| url | https://www.mdpi.com/2076-3417/15/14/7878 |
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