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Strength Reduction Method in the Stability Assessment of Vegetated Slopes


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Figure 1.

Changes in peak strength with variable initial void ratio according to critical state soil mechanics, after Atkinson [19]. Top plot: effective stress versus shear stress, bottom plot: effective stress versus void ratio
Changes in peak strength with variable initial void ratio according to critical state soil mechanics, after Atkinson [19]. Top plot: effective stress versus shear stress, bottom plot: effective stress versus void ratio

Figure 2.

Geometry, finite element discretization and boundary conditions of the modelled vegetated slope
Geometry, finite element discretization and boundary conditions of the modelled vegetated slope

Figure 3.

Values of the factor of safety calculated for different durations of the rainfall application. Results obtained for the bare reference slope and the vegetated slope
Values of the factor of safety calculated for different durations of the rainfall application. Results obtained for the bare reference slope and the vegetated slope

Figure 4.

Contour of the square root of the second invariant of the deviator strain at the end of the strength reduction step for the rainfall duration of 45000 s (12.5 h) for the reference slope, presented on a deformed mesh
Contour of the square root of the second invariant of the deviator strain at the end of the strength reduction step for the rainfall duration of 45000 s (12.5 h) for the reference slope, presented on a deformed mesh

Figure 5.

Contour of the square root of the second invariant of the deviator strain at the end of the strength reduction step for the rainfall duration of 45000 s (12.5 h) for the reference vegetated slope, presented on a deformed mesh
Contour of the square root of the second invariant of the deviator strain at the end of the strength reduction step for the rainfall duration of 45000 s (12.5 h) for the reference vegetated slope, presented on a deformed mesh

Values of the factor of safety for different combinations of root parameters

Rp mrini {\boldsymbol {m}_{\boldsymbol {r}}^{\boldsymbol {ini}}} FOS
1.0 0.5 1.474
2.0 0.5 1.477
3.0 0.5 1.481
3.0 1.0 1.481
3.0 1.5 1.487
4.0 1.5 1.494

List of soil parameters

Parameter Symbol Value Unit
Dry unit weight γd 12.95 kN/m3
Poisson's ratio ν 0.3 -
Plastic compressibility λ 0.145 -
Elastic compressibility κ 0.0097 -
Slope of the critical state line M 1.0 -
Saturated permeability ks 5.00E-06 m/s
Initial void ratio eo 0.8 -
Van Genuchten’ sparamters:
a 0.7 kPa
n 2.16
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Architecture and Design, Architecture, Architects, Buildings