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Hydro-Mechanical Properties of an Unsaturated Frictional Material

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162<br />

CHAPTER 7. ANALYSIS AND INTERPRETATION OF THE EXPERIMENTAL<br />

RESULTS<br />

m (-)<br />

Stiffness modulus (10³ kPa)<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0.0<br />

ratio = 0.59 (Sch<strong>an</strong>z 1998) Void ratio = 0.66 Void<br />

0.5 0.6 0.7 0.8 0.9<br />

Void ratio = 0.89 Void ratio = 0.92 (Sch<strong>an</strong>z 1998)<br />

40<br />

1.0 =100 kPa<br />

σref<br />

30<br />

20<br />

10<br />

0<br />

Void ratio (-)<br />

0.5 0.6 0.7 0.8 0.9 1.0<br />

Void ratio (-)<br />

Figure 7.20: Calculated parameter ˆm <strong>an</strong>d stiffness modulus for dry specimens with different<br />

void ratios<br />

The results <strong>of</strong> the stiffness moduli, that were derived from the experimental results are<br />

given in Tab. 7.3. This table summarizes stress dependent stiffness moduli, that were es-<br />

timated for a low vertical net stress (σ = 12 kPa) as well as a high vertical net stress<br />

(σ = 100 kPa) to see the development <strong>of</strong> this value. For all calculations a reference stress <strong>of</strong><br />

σref = 100 kPa was used. For the stiffness modulus Eoed <strong>an</strong> increase with increasing suction<br />

(up to 20 kPa) is observed for σ = 12 kPa <strong>an</strong>d σ = 100 kPa. With further increase in suction<br />

the stiffness modulus is decreasing again. For the parameter ˆm, values between ˆm = 0.62 to<br />

0.81 for dense <strong>an</strong>d ˆm = 0.58 to 0.76 for loose specimens were derived during loading path. For<br />

the un-/reloading path const<strong>an</strong>t ˆm = 0.97 for dense specimen <strong>an</strong>d ˆm = 0.93 for loose spec-<br />

imen was calculated. In Fig. 7.20 parameters ˆm calculated from oedometer test results are<br />

given for dry specimens <strong>an</strong>d compared to results derived by Sch<strong>an</strong>z (1998) for Hostun s<strong>an</strong>d.<br />

According to ˆm the author found stiffness moduli <strong>of</strong> Eoed = 17.000 kPa (loose specimen) <strong>an</strong>d<br />

Eoed = 35.000 kPa (dense specimen) for vertical net stress σref = 100 kPa. As c<strong>an</strong> be seen<br />

in Fig. 7.20 the results <strong>of</strong> parameter ˆm <strong>an</strong>d the stiffness modulus from the present study fit<br />

well to the results given in literature.

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