Geoscience Reference
In-Depth Information
11.2 Small strain shear modulus
•
The small strain shear modulus is significantly higher than at high strains.
•
The table provides small - strain typical values.
Table 11.2
Typical values of small - shear modulus (Sabatani et al., 2002).
Shear modulus, G
Small - strain shear modulus G
0
(MPa)
Soft clays
3 to 15
Firm clays
7 to 35
Silty sands
30 to 140
Dense sands and gravels
70 to 350
•
For large strains G
ls
=
E/2.5.
•
For small strains G
ss
=
2E
=
5G
ls
.
11.3 Comparison of small to large strain modulus
•
The applicable modulus is dependent on the strain level.
•
The table provides the modulus values at small and large strains.
Table 11.3
Stiffness degradation range for various materials
(summarised from Heymann, 1998).
Strain level comparison
Stiffness ratio
E
0
.
01
/E
0
0.8 to 0.9
E
0
.
1
/E
0
0.4 to 0.5
E
1
.
0
/E
0
0.1 to 0.2
•
Modulus at 0% strain
=
E
0
.
•
Modulus at 0.01% strain
=
E
0
.
01
(small strain).
•
Modulus at 1.0% strain
=
E
0
.
01
(large strain).
•
Materials tested were intact chalk, London clay and Bothkennar clay.
•
Figure 11.2 (from Sabatani et al., 2002) shows the types of tests appropriate at
various strain levels.
11.4 Strain levels for various applications
•
The modulus value below a pavement, is different from the modulus at a pile tip
even for the same material.
•
Different strain level produces different modulus values.
•
Jardine et al., (1986) found shear strain levels for excavations to be
<
0.1% for
walls and as low as 0.01% if well restrained.
•
The modulus value for the design of a pavement is significantly different from the
modulus values used for the support of a flexible pipe in a trench.
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