3D Limit Equilibrium Stability Analysis of Concave and Convex Slopes Considering Kinematic Constraints
In the previous limit equilibrium stability analyses of concave and convex slopes, the kinematic constraints are not considered in the generation of slip surfaces. To tackle this problem, this technical note proposes a method to compute safety factors of concave and convex slopes, combining the simp...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2022/1625765 |
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| _version_ | 1832559420020621312 |
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| author | Xing-Pei Kang Ya-Fei Wang Zhan-Rong Zhang Hao Xie Yun Yang |
| author_facet | Xing-Pei Kang Ya-Fei Wang Zhan-Rong Zhang Hao Xie Yun Yang |
| author_sort | Xing-Pei Kang |
| collection | DOAJ |
| description | In the previous limit equilibrium stability analyses of concave and convex slopes, the kinematic constraints are not considered in the generation of slip surfaces. To tackle this problem, this technical note proposes a method to compute safety factors of concave and convex slopes, combining the simplified Bishop method with an adaptive “point-by-point” technique. Through the adaptive “point-by-point” technique, the failure surfaces of slopes are linked by numerous lines that connect two neighboring discretized points, at which the velocity compatibilities are strictly satisfied. Stress analyses are made for the vertical discretized slices where the lateral pressure on the interface between soil slices is represented by the Rankine active earth pressure. Based on the simplified Bishop method and the strength reduction method, the safety factor and failure surfaces of concave and convex slopes are derived, which are verified by numerical simulations. Comparative outcomes show that the results would be closer to those of numerical simulations if the strength reduction is made for the Rankine active earth pressure on the interface between soil slices. And the proposed discretized slip surface considering kinematic constraints is more consistent with the shear bands by numerical simulation, as compared with the circular arc slip surface. Under homogeneous soil conditions, the proposed discretized slip surface can degenerate into a logarithmic spiral. |
| format | Article |
| id | doaj-art-661e125bad6e4438b689289e54140679 |
| institution | Kabale University |
| issn | 1875-9203 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-661e125bad6e4438b689289e541406792025-02-03T01:30:03ZengWileyShock and Vibration1875-92032022-01-01202210.1155/2022/16257653D Limit Equilibrium Stability Analysis of Concave and Convex Slopes Considering Kinematic ConstraintsXing-Pei Kang0Ya-Fei Wang1Zhan-Rong Zhang2Hao Xie3Yun Yang4Chinese Railway Si-Yuan Survey and Design Group CO LTDChinese Railway Si-Yuan Survey and Design Group CO LTDChinese Railway Si-Yuan Survey and Design Group CO LTDChinese Railway Si-Yuan Survey and Design Group CO LTDSchool of Civil EngineeringIn the previous limit equilibrium stability analyses of concave and convex slopes, the kinematic constraints are not considered in the generation of slip surfaces. To tackle this problem, this technical note proposes a method to compute safety factors of concave and convex slopes, combining the simplified Bishop method with an adaptive “point-by-point” technique. Through the adaptive “point-by-point” technique, the failure surfaces of slopes are linked by numerous lines that connect two neighboring discretized points, at which the velocity compatibilities are strictly satisfied. Stress analyses are made for the vertical discretized slices where the lateral pressure on the interface between soil slices is represented by the Rankine active earth pressure. Based on the simplified Bishop method and the strength reduction method, the safety factor and failure surfaces of concave and convex slopes are derived, which are verified by numerical simulations. Comparative outcomes show that the results would be closer to those of numerical simulations if the strength reduction is made for the Rankine active earth pressure on the interface between soil slices. And the proposed discretized slip surface considering kinematic constraints is more consistent with the shear bands by numerical simulation, as compared with the circular arc slip surface. Under homogeneous soil conditions, the proposed discretized slip surface can degenerate into a logarithmic spiral.http://dx.doi.org/10.1155/2022/1625765 |
| spellingShingle | Xing-Pei Kang Ya-Fei Wang Zhan-Rong Zhang Hao Xie Yun Yang 3D Limit Equilibrium Stability Analysis of Concave and Convex Slopes Considering Kinematic Constraints Shock and Vibration |
| title | 3D Limit Equilibrium Stability Analysis of Concave and Convex Slopes Considering Kinematic Constraints |
| title_full | 3D Limit Equilibrium Stability Analysis of Concave and Convex Slopes Considering Kinematic Constraints |
| title_fullStr | 3D Limit Equilibrium Stability Analysis of Concave and Convex Slopes Considering Kinematic Constraints |
| title_full_unstemmed | 3D Limit Equilibrium Stability Analysis of Concave and Convex Slopes Considering Kinematic Constraints |
| title_short | 3D Limit Equilibrium Stability Analysis of Concave and Convex Slopes Considering Kinematic Constraints |
| title_sort | 3d limit equilibrium stability analysis of concave and convex slopes considering kinematic constraints |
| url | http://dx.doi.org/10.1155/2022/1625765 |
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