3D limit analysis of rock slopes based on equivalent linear failure criterion with tension cut-off
Hoek-Brown (HB) failure criterion is widely used to predict the strength of intact or heavily jointed rock mass. For stability analysis of rock slopes governed by the HB failure criterion, the equivalent linearity to Mohr-Coulomb (MC) criterion is often adopted, leading to the well-known equivalent...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Journal of Rock Mechanics and Geotechnical Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1674775523000677 |
| _version_ | 1797430089391013888 |
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| author | Zhibin Sun Bowen Wang Yongxin Li Jingshu Xu Jian Ji |
| author_facet | Zhibin Sun Bowen Wang Yongxin Li Jingshu Xu Jian Ji |
| author_sort | Zhibin Sun |
| collection | DOAJ |
| description | Hoek-Brown (HB) failure criterion is widely used to predict the strength of intact or heavily jointed rock mass. For stability analysis of rock slopes governed by the HB failure criterion, the equivalent linearity to Mohr-Coulomb (MC) criterion is often adopted, leading to the well-known equivalent Mohr-Coulomb method (EMCM). Existing studies on EMCM analysis mainly consider the shear strength of rock material, while consideration of the tensile strength is rare. This contradicts the fact that the underlying tensile strength of rock mass has considerable impact on the rock slope stability in real world. In this regard, this paper proposes a limit analysis-based approach that can account for tension in the three-dimensional (3D) stability analysis of HB rock slope. This approach is established on the equivalent linearity of the HB criterion with consideration of tensile strength, known as the equivalent tension cut-off MC method (ETMCM), and using a horn-like 3D mechanism of limit analysis. The safety factor solutions given by the proposed approach are validated by previous studies and numerical results. Parametric studies are conducted to investigate the effect of rock tensile strength on slope stability. Results show that the consideration of tension leads to a more conservative safety factor and a sharper curvature of the failure surface, and these impacts tend to be more obvious with the increases in slope inclination and slope width. Finally, the stability of the HB rock slope under seepage conditions is studied using the proposed approach. The results indicate that the effect of tensile strength is highly remarkable in seepage circumstances. |
| first_indexed | 2024-03-09T09:22:35Z |
| format | Article |
| id | doaj.art-e4e87772bbb445dfaa3b3fc5f6a36163 |
| institution | Directory Open Access Journal |
| issn | 1674-7755 |
| language | English |
| last_indexed | 2024-03-09T09:22:35Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Rock Mechanics and Geotechnical Engineering |
| spelling | doaj.art-e4e87772bbb445dfaa3b3fc5f6a361632023-12-02T06:58:55ZengElsevierJournal of Rock Mechanics and Geotechnical Engineering1674-77552023-12-011512311831303D limit analysis of rock slopes based on equivalent linear failure criterion with tension cut-offZhibin Sun0Bowen Wang1Yongxin Li2Jingshu Xu3Jian Ji4School of Automotive and Transportation Engineering, Hefei University of Technology, Hefei, 230009, China; Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, 210024, ChinaSchool of Automotive and Transportation Engineering, Hefei University of Technology, Hefei, 230009, ChinaSchool of Automotive and Transportation Engineering, Hefei University of Technology, Hefei, 230009, ChinaCollege of Architecture and Civil Engineering, Beijing University of Technology, Beijing, 100124, ChinaKey Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, 210024, China; Corresponding author.Hoek-Brown (HB) failure criterion is widely used to predict the strength of intact or heavily jointed rock mass. For stability analysis of rock slopes governed by the HB failure criterion, the equivalent linearity to Mohr-Coulomb (MC) criterion is often adopted, leading to the well-known equivalent Mohr-Coulomb method (EMCM). Existing studies on EMCM analysis mainly consider the shear strength of rock material, while consideration of the tensile strength is rare. This contradicts the fact that the underlying tensile strength of rock mass has considerable impact on the rock slope stability in real world. In this regard, this paper proposes a limit analysis-based approach that can account for tension in the three-dimensional (3D) stability analysis of HB rock slope. This approach is established on the equivalent linearity of the HB criterion with consideration of tensile strength, known as the equivalent tension cut-off MC method (ETMCM), and using a horn-like 3D mechanism of limit analysis. The safety factor solutions given by the proposed approach are validated by previous studies and numerical results. Parametric studies are conducted to investigate the effect of rock tensile strength on slope stability. Results show that the consideration of tension leads to a more conservative safety factor and a sharper curvature of the failure surface, and these impacts tend to be more obvious with the increases in slope inclination and slope width. Finally, the stability of the HB rock slope under seepage conditions is studied using the proposed approach. The results indicate that the effect of tensile strength is highly remarkable in seepage circumstances.http://www.sciencedirect.com/science/article/pii/S1674775523000677Rock slopeHoek-Brown criterionStability analysisTensile strengthLimit analysis |
| spellingShingle | Zhibin Sun Bowen Wang Yongxin Li Jingshu Xu Jian Ji 3D limit analysis of rock slopes based on equivalent linear failure criterion with tension cut-off Journal of Rock Mechanics and Geotechnical Engineering Rock slope Hoek-Brown criterion Stability analysis Tensile strength Limit analysis |
| title | 3D limit analysis of rock slopes based on equivalent linear failure criterion with tension cut-off |
| title_full | 3D limit analysis of rock slopes based on equivalent linear failure criterion with tension cut-off |
| title_fullStr | 3D limit analysis of rock slopes based on equivalent linear failure criterion with tension cut-off |
| title_full_unstemmed | 3D limit analysis of rock slopes based on equivalent linear failure criterion with tension cut-off |
| title_short | 3D limit analysis of rock slopes based on equivalent linear failure criterion with tension cut-off |
| title_sort | 3d limit analysis of rock slopes based on equivalent linear failure criterion with tension cut off |
| topic | Rock slope Hoek-Brown criterion Stability analysis Tensile strength Limit analysis |
| url | http://www.sciencedirect.com/science/article/pii/S1674775523000677 |
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