3D seismic bearing capacity of rectangular foundations near rock slopes using upper bound method
The analysis of foundation's bearing capacity is generally conducted under the assumption of plane strain. However, the damage of rectangular foundation usually presents obvious three-dimensional (3D) effect. This article considers this 3D effect, which, for the first time, provides a theoretic...
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Elsevier
2024-12-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824010998 |
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| author | Hong Liao Sheng Xu Chaoguang Wu |
| author_facet | Hong Liao Sheng Xu Chaoguang Wu |
| author_sort | Hong Liao |
| collection | DOAJ |
| description | The analysis of foundation's bearing capacity is generally conducted under the assumption of plane strain. However, the damage of rectangular foundation usually presents obvious three-dimensional (3D) effect. This article considers this 3D effect, which, for the first time, provides a theoretical framework for assessing the bearing capacity of rectangular foundations placed on rock slopes under seismic condition. In order to apply the kinematic method of limit analysis, a new 3D kinematically admissible collapse mechanism is first constructed. Owing to the point-to-point discretized technique, this 3D mechanism can avoid complex surface integration and effectively reduce spatial coordinate iterative calculations while maintaining high accuracy. The pseudo-static method is adopted to simulate the effects of earthquakes. Generalized multi‑tangential technique is employed to derive the Mohr-Coulomb constants from Hoek-Brown criterion. The comparison between the present results and results of previous literatures proves the validity of the theoretical framework in this paper. Shape factor and reduction factor are introduced in the parametric study, showing that the 3D effect is more obvious when the rectangular foundation aspect ratio is reduced. As the rectangular foundation location moves away from the slope, its bearing capacity gradually converges towards that of the horizontal foundation. The critical collapse mechanism is also explored, demonstrating that the collapse extent expands with increasing internal friction angle of the rock. |
| format | Article |
| id | doaj-art-849f84cb9f43444aa23788fd370f27e7 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-849f84cb9f43444aa23788fd370f27e72024-12-21T04:27:56ZengElsevierAlexandria Engineering Journal1110-01682024-12-011097787913D seismic bearing capacity of rectangular foundations near rock slopes using upper bound methodHong Liao0Sheng Xu1Chaoguang Wu2School of Civil Engineering, Central South University, Hunan 410075, ChinaSchool of Civil Engineering, Central South University, Hunan 410075, ChinaCorresponding author.; School of Civil Engineering, Central South University, Hunan 410075, ChinaThe analysis of foundation's bearing capacity is generally conducted under the assumption of plane strain. However, the damage of rectangular foundation usually presents obvious three-dimensional (3D) effect. This article considers this 3D effect, which, for the first time, provides a theoretical framework for assessing the bearing capacity of rectangular foundations placed on rock slopes under seismic condition. In order to apply the kinematic method of limit analysis, a new 3D kinematically admissible collapse mechanism is first constructed. Owing to the point-to-point discretized technique, this 3D mechanism can avoid complex surface integration and effectively reduce spatial coordinate iterative calculations while maintaining high accuracy. The pseudo-static method is adopted to simulate the effects of earthquakes. Generalized multi‑tangential technique is employed to derive the Mohr-Coulomb constants from Hoek-Brown criterion. The comparison between the present results and results of previous literatures proves the validity of the theoretical framework in this paper. Shape factor and reduction factor are introduced in the parametric study, showing that the 3D effect is more obvious when the rectangular foundation aspect ratio is reduced. As the rectangular foundation location moves away from the slope, its bearing capacity gradually converges towards that of the horizontal foundation. The critical collapse mechanism is also explored, demonstrating that the collapse extent expands with increasing internal friction angle of the rock.http://www.sciencedirect.com/science/article/pii/S1110016824010998Seismic bearing capacityUpper boundNonlinear failure criterionCollapse mechanismRectangular foundation |
| spellingShingle | Hong Liao Sheng Xu Chaoguang Wu 3D seismic bearing capacity of rectangular foundations near rock slopes using upper bound method Alexandria Engineering Journal Seismic bearing capacity Upper bound Nonlinear failure criterion Collapse mechanism Rectangular foundation |
| title | 3D seismic bearing capacity of rectangular foundations near rock slopes using upper bound method |
| title_full | 3D seismic bearing capacity of rectangular foundations near rock slopes using upper bound method |
| title_fullStr | 3D seismic bearing capacity of rectangular foundations near rock slopes using upper bound method |
| title_full_unstemmed | 3D seismic bearing capacity of rectangular foundations near rock slopes using upper bound method |
| title_short | 3D seismic bearing capacity of rectangular foundations near rock slopes using upper bound method |
| title_sort | 3d seismic bearing capacity of rectangular foundations near rock slopes using upper bound method |
| topic | Seismic bearing capacity Upper bound Nonlinear failure criterion Collapse mechanism Rectangular foundation |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824010998 |
| work_keys_str_mv | AT hongliao 3dseismicbearingcapacityofrectangularfoundationsnearrockslopesusingupperboundmethod AT shengxu 3dseismicbearingcapacityofrectangularfoundationsnearrockslopesusingupperboundmethod AT chaoguangwu 3dseismicbearingcapacityofrectangularfoundationsnearrockslopesusingupperboundmethod |