Analytical approach for stability of 3D two-stage slope in non-uniform and unsaturated soils
In geological engineering, the unsaturation and non-uniformity of soil have significant influence on slope stability. However, they were common neglected in published literature. Based on the three-dimensional (3D) rotational failure mechanism, this paper introduces a method that combines the gravit...
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| Published in: | Engineering geology Vol. 292; p. 106243 |
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| Format: | Journal Article |
| Language: | English |
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01-10-2021
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| Abstract | In geological engineering, the unsaturation and non-uniformity of soil have significant influence on slope stability. However, they were common neglected in published literature. Based on the three-dimensional (3D) rotational failure mechanism, this paper introduces a method that combines the gravity increase method and the upper bound theorem, to evaluate the factor of safety (FS) of 3D stepped slope in non-uniform and unsaturated soils. The soil cohesion increases linearly with depth, and three nonlinear unsaturated shear strength models are adopted in this study. After the calculations of internal energy dissipation rate and external work rate, the analytical formula of FS is derived, and the lowest FS value is obtained through optimization. To prove the validity of the proposed method, the present results are compared with previously published solutions. A parametric study is carried out, and the influences of a number of factors on FS are discussed. For non-uniform and unsaturated soils, the new formula for calculating the FS of 3D two-stage slopes is presented for practical use in geological engineering.
•New formula for calculating the FS of 3D two-stage slopes is derived.•GIM is introduced to evaluate FS of 3D stepped slopes in inhomogeneous and unsaturated soils.•Validity of the analytical solutions obtained in this study is verified. |
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| AbstractList | In geological engineering, the unsaturation and non-uniformity of soil have significant influence on slope stability. However, they were common neglected in published literature. Based on the three-dimensional (3D) rotational failure mechanism, this paper introduces a method that combines the gravity increase method and the upper bound theorem, to evaluate the factor of safety (FS) of 3D stepped slope in non-uniform and unsaturated soils. The soil cohesion increases linearly with depth, and three nonlinear unsaturated shear strength models are adopted in this study. After the calculations of internal energy dissipation rate and external work rate, the analytical formula of FS is derived, and the lowest FS value is obtained through optimization. To prove the validity of the proposed method, the present results are compared with previously published solutions. A parametric study is carried out, and the influences of a number of factors on FS are discussed. For non-uniform and unsaturated soils, the new formula for calculating the FS of 3D two-stage slopes is presented for practical use in geological engineering.
•New formula for calculating the FS of 3D two-stage slopes is derived.•GIM is introduced to evaluate FS of 3D stepped slopes in inhomogeneous and unsaturated soils.•Validity of the analytical solutions obtained in this study is verified. |
| ArticleNumber | 106243 |
| Author | Yang, Xiao-Li Wei, Jia-Jing |
| Author_xml | – sequence: 1 givenname: Xiao-Li surname: Yang fullname: Yang, Xiao-Li email: yangxl@csu.edu.cn – sequence: 2 givenname: Jia-Jing surname: Wei fullname: Wei, Jia-Jing email: wjj0125@csu.edu.cn |
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| CitedBy_id | crossref_primary_10_1016_j_compgeo_2023_105894 crossref_primary_10_3390_app12199404 crossref_primary_10_1061_IJGNAI_GMENG_8223 crossref_primary_10_1007_s11629_024_8650_8 crossref_primary_10_1016_j_soildyn_2023_107837 crossref_primary_10_1061_IJGNAI_GMENG_8173 crossref_primary_10_1016_j_enbuild_2022_112045 crossref_primary_10_1016_j_compgeo_2023_105799 crossref_primary_10_1007_s43452_023_00606_w crossref_primary_10_3390_buildings14030799 |
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| Keywords | Two-stage slopes Upper bound Uniform soils Unsaturated soils Gravity increase method Factor of safety |
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