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Evaluation of Cyclic Softening in Clays PDF

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Robertson’s Remarks

- Evaluation of Cyclic Softening in Clays-

Boulanger and Idriss (2007, ASCE) recently presented an excellent summary for the evaluation of the cyclic softening in silts and
clays. They correctly suggest that the first step is to evaluate the behavioral characteristics of the soil. They suggest that the
transition from being more fundamentally like sands to more like clays occurs at around a plasticity index (PI) of 7. Others have
suggested slightly higher values of PI to define this transition (e.g. Seed et al, 2003 and Bray and Sancio, 2006). This issue will
likely become resolved in the fullness of time as more field data becomes available. I prefer a slightly higher PI criteria to define
clay-like behavior (PI > 12) since sand-like soils tend to have a lower resistance to cyclic loading than clay-like soils and the
simplified methodology requires a certain level of conservatism in its application for low to moderate risk projects or in the
screening stages of high risk projects.

The resistance to cyclic loading for silts and clays is essentially controlled by the undrained strength ratio of the clay-like soil. It
is clear that if an earthquake applies a cyclic stress ratio (CSR = cy/ 'vc) that is close to the undrained strength ratio of the soil
(su/ 'vc), large deformations are likely. The amount of deformations will likely depend on the size and duration of cyclic loading
and the plasticity of the soil. Boulanger and Idriss suggest a value of CRRM=7.5 = 0.8 su/ 'vc to define the limit when deformations
are likely to become large.

In clay-like soils the CPT is also commonly used to obtain estimates of both undrained shear strength (su) and consolidation
stress history (OCR) profiles. The CPT has the advantage of providing continuous, reliable profiles of tip resistance in a highly
cost effective manner. The undrained shear strength of clay-like soils can be estimated from the CPT using the following
equation: su = (qt – vc) / Nkt
Where: su is the peak undrained shear strength; qt is the corrected total cone resistance; vc is the total overburden stress, and;
Nkt is the empirical cone factor, which typically varies from 10 to 20 depending on the appropriate undrained shear strength
required.

Normalized CPT parameters are used to identify Soil Behavior Type (SBT), where the normalized CPT parameters in clay-like
fine-grained soils are:
Normalized cone resistance, Q = (qt – vc)/ 'vc
Normalized Friction Ratio, F = 100 fs / (qt – vc) in percent (%)
It can be shown that for insensitive clay-like fine-grained soils the undrained shear strength ratio can be estimated using the
following simplified equation and CPT results: su / 'vc = fs / 'vc = (F . Q) / 100

For sensitive clays the sleeve friction, fs is essentially the remolded shear strength of the clay. Hence, the above equation
produces the remolded undrained strength ratio. Hence, it is possible to identify contours of undrained shear strength ratio in
insensitive, clay-like fine-grained soils on the Normalized Soil Behavior Type (SBTn) chart suggested by Robertson (1990).
These undrained shear strength ratio contours can be reduced by the recommended factor of 0.8 to produce contours of Cyclic
Resistance Ratio (CRRM=7.5) for clay-like fine-grained soils on the Robertson (1990) Soil Behavior Type chart, as shown in Figure
1. Robertson and Wride (1998) suggested that the approximate boundary between sand-like and clay-like behavior could be
estimated using the Soil Behavior Type Index, Ic, and that the boundary was approximately Ic = 2.6, as shown on Figure 1.
Zhang et al, 2001, recently updated the normalization of cone resistance for application to liquefaction assessment to allow for a
variable stress exponent in different soils. The updated approach for normalized cone resistance (Q) is recommended for Figure
1. Also included in Figure 1 are the contours for CRRM=7.5 for sand-like soils derived using the method described by Robertson
and Wride (1998). Robertson and Wride (1998) and Youd et al (2001) suggested that when Ic > 2.6, samples should be obtained
and Atterberg Limits determined to evaluate whether the soils were more clay-like or sand-like. Figure 1 illustrates that when
the Robertson and Wride (1998) approach for sand-like soils is extended into the clay-like region (i.e. Ic > 2.6) the approach
produces generally conservative estimates of cyclic resistance ratio compared to the clay-like response suggested by Boulanger
and Idriss (2007).

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