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q/p' pp M
q/p' pp M
q/p' ic M
1.2
1.2
0.7
pente = 1
η = 0.71
pic
1.0
1.0
0.6
0.8
0.5
0.8
Cc = 0.53
0.4
0.6
0.6
Cc = 0.22
a
0.3
m = 0.645
b
c
0.4
0.4
0.2
0.2
0.2
0.1
ε1
0.0
0.0
0.0
0.0 0.5
1.0
1.5
2.0
2.5
p'/p' pp
0
5
10 15 20 25 30
0.0 . 2 . 4 . 6 . 8 . 0
p'/p' ic
DU/sig' 30
q/p' 0 M
I D
0.8
2.0
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
0.6
1.5
0.4
d
0.2
e
f
1.0
0.0
-0.2
0.5
-0.4
ε 1
p'/p' 0
p'
-0.6
0.0
0.0
0.5
1.0
1.5
2.0
0.01
0.10
1.00
10.00
0
5
10 15 20 25 30
Mekkaoui FRNDF6
Figure 5.15. Reference behavior for undrained sands
5.7.2. Perfect plasticity normalization of the curves in the (q - ε 1 ) plane and pore
pressure variation
All the undrained loading paths in the (q - ε 1 ) plane tend towards the horizontal
asymptote Mp' pp . A normalization with Mp' pp (Figure 5.15a) keeps the intermediate
peak that characterizes the sands with a small theoretical overconsolidation (“loose”
behavior). We associate the (q - ε 1 ) plane with the ( q / Mp' pp - p' / Mp' pp ) plane, where
all the curves tend towards the bissectrice. The (Δ U /σ' 30 - ε 1 ) plane in Figure 5.15d
permits the control of cavitation 1 ( the test curves were cut when cavitation
appeared , according to Biarez's criteria [MEK 02]).
5.7.3. Initial stress p' 0 normalization in the (q - p) plane
All the paths in the q/Mp' 0 - p'/p' 0 plane start from the point with coordinates
(1 - 0) and tend towards the first bissectrice (see Figure 5.15e).
 
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