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Second-Order Work Criterion in the Stability Analysis of an Earth Dam Subjected to Seepage Cover

Second-Order Work Criterion in the Stability Analysis of an Earth Dam Subjected to Seepage

Open Access
|Oct 2023

Figures & Tables

Figure 1:

Procedure of determination of the boundary of instability domain: a) triaxial compression in Rendulic plane, b) plane strain conditions.
Procedure of determination of the boundary of instability domain: a) triaxial compression in Rendulic plane, b) plane strain conditions.

Figure 2:

Instability domains (shaded areas) in simulations of triaxial compression and extension for dense sand described by incrementally non-linear model [7].
Instability domains (shaded areas) in simulations of triaxial compression and extension for dense sand described by incrementally non-linear model [7].

Figure 3:

Geometrical model of the earth dam and subgrade.
Geometrical model of the earth dam and subgrade.

Figure 4:

Hyperbolic relationship ɛ1-q for virgin triaxial compression.
Hyperbolic relationship ɛ1-q for virgin triaxial compression.

Figure 5:

Yield surface for Hardening Soil model.
Yield surface for Hardening Soil model.

Figure 6:

Variations of hydraulic boundary conditions over time.
Variations of hydraulic boundary conditions over time.

Figure 7:

Variations of the phreatic surface location over time.
Variations of the phreatic surface location over time.

Figure 8:

Changes of safety factor at different locations of the phreatic surface.
Changes of safety factor at different locations of the phreatic surface.

Figure 9:

Maps of the normalised second-order work at different levels of the phreatic surface.
Maps of the normalised second-order work at different levels of the phreatic surface.

Soil parameters assumed in the analysis_

Parameterearth dam (mSa)subgrade (Si)
Eurref [MPa]10030
σref [kPa]100100
νur [−]0.20.3
m [−]0.50.9
σL [kPa]1010
E50ref [MPa]3010
ϕ [°]3525
c [kPa]010
ψ [°]510
Eoed [MPa]3810
OCR [−]33
k [m/s]10−610−7
Sr [−]00.2
α [1/m]101
K0 [−]0.80.92
DOI: https://doi.org/10.2478/sgem-2023-0015 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
Language: English
Page range: 253 - 261
Submitted on: Jan 14, 2023
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Accepted on: Jun 23, 2023
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Published on: Oct 1, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2023 Krzysztof Sternik, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.