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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