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Figure 1

Anchored embedded retaining wall.
Anchored embedded retaining wall.

Figure 2

Embedded wall under construction.
Embedded wall under construction.

Figure 3

Geometry of the problem
Geometry of the problem

Figure 4

Finite element mesh: a) general view; b) cross-section of the model for z0 = 2 m.
Finite element mesh: a) general view; b) cross-section of the model for z0 = 2 m.

Figure 5

Range of passive and active zones near the anchor block for z0 = 2 m.
Range of passive and active zones near the anchor block for z0 = 2 m.

Figure 6

Force-displacement curves for the block without contact elements, surcharge thickness z0 = 2 m, incompressible behaviour of sand at yielding and various pulling force locations.
Force-displacement curves for the block without contact elements, surcharge thickness z0 = 2 m, incompressible behaviour of sand at yielding and various pulling force locations.

Figure 7

Force-displacement curves for the model with contact elements of different friction angle δ, surcharge thickness z0 = 2 m, incompressible behaviour of sand at yielding and the pulling force location h = 2 m.
Force-displacement curves for the model with contact elements of different friction angle δ, surcharge thickness z0 = 2 m, incompressible behaviour of sand at yielding and the pulling force location h = 2 m.

Figure 8

Block’s displacement and mesh deformation in the ultimate state: a) h = 0.5 m; b) h = 2.0 m.
Block’s displacement and mesh deformation in the ultimate state: a) h = 0.5 m; b) h = 2.0 m.

Figure 9

Variations of the ultimate force value with respect to its location and contact conditions for Z0 = 1 m.
Variations of the ultimate force value with respect to its location and contact conditions for Z0 = 1 m.

Fig. 10

Variations of the ultimate force value with respect to its location and contact conditions for z0 = 2 m.
Variations of the ultimate force value with respect to its location and contact conditions for z0 = 2 m.

Figure 11

Scheme of pressures on the block.
Scheme of pressures on the block.

Influence of tendon attachment location and dilatancy on ultimate force for z0 = 2 m.

ψcontact conditionsFult h = 0.5 m, kNFult h = 2 m, kNFult h = 0.5/Fult h = 2×100, %
no contact elements1743374146.6%
δ = 0°1305333339.2%
no contact elements2244418753.6%
δ = 0°1434348341.2%
10°no contact elements2583447057.8%
δ = 0°1571369342.5%

Passive earth pressure for different contact friction and embedment z0 = 1 m.

δep1, kPaep2, kPaEph, kN
84.04590.841012.3
1/3ϕ115.73813.601394.0
2/3ϕ144.041012.651735.0
ϕ159.481121.231921.1

Passive earth pressure for different contact friction and embedment z0 = 2 m.

δep1, kPaep2, kPaEph, kN
208.83830.871559.6
1/3Φ287.561144.122147.5
2/3Φ357.922672.942672.9
Φ396.301576.722959.5

Comparison of ultimate pullout forces for different contact friction and embedment z0.

z0 = 1mz0 = 2m
δFult anal, kNFult FEM, kNFult anal/Fult FEM×100, %Fult FEM, kNFult anal, kNFult FEM/Fult anal×100, %
Φ1921.1222186%2959.5368080%
2/3Φ1750.03219379%2672.9356475%
1/3Φ1394.0211266%2147.5344862%
1012.3192553%1559.6333347%

Influence of tendon attachment location and dilatancy on ultimate force for z0 = 1 m.

ψcontact conditionsFult h = 0.5 m, kNFult h = 2 m, kNFult h = 0.5/Fult h = 2×100, %
no contact elements977227043.0%
δ = 0°657192534.1%
no contact elements1230248649.5%
δ = 0°733205335.7%
10°no contact elements1404264353.1%
δ = 0°789215236.7%

Coefficients ma and mp.

z/D0246810
ma10.680.460.330.260.22
mp11.642.322.903.564.0

Material parameters.

sandconcrete
Young ModulusE [MPa]8030000
Poisson’s ratioν [-]0.250.20
Cohesionc [kPa]0.0-
Friction angleΦ [o]34-
Unit weightγ [kN/m3]1825

Coefficients of earth pressure for different contact friction.

δKpnKan
3.53710.2827
1/3ϕ4.87070.2577
2/3ϕ6.06230.2395
ϕ6.71230.2280
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Language:
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Journal Subjects:
Geosciences, other, Materials Sciences, Composites, Porous Materials, Physics, Mechanics and Fluid Dynamics