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Appendix<br />

Rel. Density<br />

1,7<br />

1,68<br />

1,66<br />

1,64<br />

1,62<br />

1,6<br />

1,58<br />

1,56<br />

1,54<br />

1,52<br />

1,5<br />

1 10 100<br />

Mean Normal Pressure (kPa)<br />

Soil Bin VCL<br />

Dense VCL1<br />

Dense VCL2<br />

Dense VCL3<br />

Figure 37: VCLs from radial-axial loading at a denser state and their comparison to the<br />

Figure 38:<br />

Sigma 3 = Sigma 2<br />

σ 2 = σ 3<br />

soil bin VCL<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

-20<br />

0<br />

0<br />

-5<br />

20 40 60 80 100 120 140 160 180<br />

Sigma σ 1<br />

1<br />

VCL1<br />

VCL3<br />

Dense VCL1<br />

Dense VCL 3<br />

� 1 in relation to<br />

� 2 and<br />

� 3 depending on intial soil density at same<br />

confining pressure of approximately 30 kPa<br />

11.1.5.3 Implications of Triaxial VCLs on predicted Soil Displacement<br />

If regression lines are put through the different virgin compression lines and their slope and<br />

intercept is fed into COMPSOIL the predicted outcome is compared in Figure 39 for the<br />

different approaches. The “Mean Norm = Contact Pressure” gained by assuming contact<br />

pressure being equal to mean normal stress agrees well with a typical VCL from the triaxial<br />

tests whereby only radial pressure has been applied (VCL only Spherical Pressure). However,<br />

this underestimates soil displacement by a factor of 2. If constant confining stress is applied<br />

and an axial load impact similar to that in the soil bin is applied, as can be seen from “VCL<br />

A+R Cell+Height Quickly”, and if the height change is additionally to the cell volume change<br />

Ph.D. Thesis Dirk Ansorge (2007)<br />

230

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