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Cranfield University

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Soil Compaction Models<br />

Depth (mm)<br />

-20 0 20 40 60 80 100<br />

0<br />

100<br />

200<br />

300<br />

400<br />

500<br />

600<br />

700<br />

800<br />

Displacement (mm)<br />

Figure 69: Measured (solid line) and predicted (broken line) soil displacement for<br />

900mm section width tyre at 10.5t load and 1.9bar inflation pressure on<br />

uniform (□) and stratified (×) soil conditions (measured data from Ansorge,<br />

2005, a)<br />

This approach does not take into account the elastic recovery of the soil, and consequently<br />

will potentially yield a VCL indicating the soil to be slightly too strong.<br />

A calculation, detailed in Appendix 11.1.2.1, yields a 0.87 % error from neglecting elastic<br />

recovery for the relative density measurement indicating a marginally stronger soil. This<br />

small error is accepted as it will affect all treatments similarly.<br />

6.3.2 Practical Derivation of VCL Parameters<br />

As shown in 6.2.1 the semi-empirically estimated contact pressure from O’Sullivan et al.<br />

(1998), is in good agreement with the contact pressure determined by Ansorge (2005, a)<br />

and this study. The confining pressures � 2 and � 3 can be derived from the following<br />

equation gained by O’Sullivan et al. (1998) from empirical regression lines:<br />

� 1<br />

ln c1<br />

� z � c2<br />

� A � c<br />

�<br />

n<br />

� 3<br />

��<br />

Eq. 6<br />

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

105

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