Abstract
When constructing a retaining wall adjacent to existing basements, the width of the soil mass can be limited. The traditional theories are not suitable for calculating the earth pressure for limited width of soil. Moreover, research achievements and engineering practice in recent years have indicated that most types of soil follow a nonlinear failure criteria. For overcoming such issues, based on a nonlinear failure criterion, an analytical formula was derived in this study by using infinitesimal method; and according to the soil arching theory, the ratio Kawn was introduced to define the ratio of horizontal to vertical stress. Through discussion and case studies, the optimum value of the ratio Kawn was obtained and numerical results showed that this method is feasible for the calculation of active earth pressure for limited width of soil. Finally, the effects of the parameters in the nonlinear failure criterion on active earth pressure were further studied, and results showed the significant effects of the parameters of the height of retaining wall H, unit weight γ, n (n = δt/φt), surcharge q0, the primary cohesion c0, axial tensile stress σt and the length between the retaining wall and the wall of existing basement L on active earth pressure.
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Data Availability
The data used to support the findings of this study are available from the corresponding author upon request.
Abbreviations
- c 0 :
-
Primary cohesion of soil
- c t :
-
Soil cohesion under a nonlinear failure criterion
- c wt :
-
Adhesion between the soil and the wall of existing basement
- H :
-
Height of retaining wall
- K awn :
-
Ratio of the horizontal stress σahw to the vertical stress σv
- L :
-
Length between the retaining wall and the wall of existing basement
- m :
-
Nonlinear coefficient of the nonlinear failure criterion
- n :
-
Ratio of soil-wall friction angle to the internal friction angle of soil
- q 0 :
-
Vertical surcharge
- γ :
-
Weight of soil
- δ t :
-
Frictional angle between the soil and the wall of existing basement
- σ ahw :
-
Horizontal stress on the micro thin layer
- σ n :
-
Normal stress of the rupture plane
- σ t :
-
Axial tensile stress of soil
- σ v :
-
Vertical stress on the micro thin layer
- τ :
-
Shear stress of the rupture plane
- φ t :
-
Internal friction angle under a nonlinear failure criterion
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Acknowledgements
The authors acknowledge the financial support from the Science and Technology project of Department of Transportation of Shanxi Province (Grant Nos. 2018-1-33 and 2019-1-24) and the Science and Technology project of Shanxi Transportation Holdings Group. CO., LTD. (Nos. 19-JKKJ-03, 20-JKKJ-02 and 20-JKKJ-40). The supports are greatly appreciated.
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Cong, L., Yang, Xy., Zhang, Bc. et al. Estimation of Active Earth Pressure for Limited Width of Soil Using Nonlinear Failure Criterion. Geotech Geol Eng 40, 4837–4846 (2022). https://doi.org/10.1007/s10706-022-02187-6
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DOI: https://doi.org/10.1007/s10706-022-02187-6