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Soil Compaction Models<br />

sibilities to obtain the mechanical parameters of the soil, and 4) derive a conclusion from<br />

literature.<br />

6.1.1 Theoretical Background of Soil Compaction Models<br />

Preliminary soil compaction models can be divided into empirical models and soil mechan-<br />

ics models. The available soil mechanics models describe qualitatively the true impact of<br />

different treatments on soil compaction. However, quantitatively they fit best the data they<br />

were originally generated for. Reasons for this are the influence of organic matter, soil<br />

moisture content, soil type, and physical soil structure on both pressure transmission within<br />

the soil and on soil compactability.<br />

At a first glance these facts increase the attractiveness of empirical models. However, to<br />

generate an empirical model one has to use large amounts of input data in order to make it<br />

reliable and applicable in a range of situations. The second drawback is the fact that it con-<br />

tributes little to the fundamental understanding of soil physical behavior and soil physical<br />

laws.<br />

Soil mechanics models are usually a combination of soil mechanical principles and nu-<br />

merical techniques. Most models use either a finite element analysis or some approach<br />

which can be categorized into elastic theory and minor extensions of it. The advantage of<br />

taking the elastic theory approach is that it is a simple route for improvement and cannot<br />

only predict stress, but predict both stress and strain using Young’s Modulus and Poisson’s<br />

Ratio. A slightly different approach based on the elastic theory is the critical state soil me-<br />

chanics which aims on describing volumetric soil response in regard to soil hydrostatic and<br />

shear stress. This was implemented by both Schofield and Wroth (1968) and Kurtay and<br />

Reece (1970). A detailed description of elastic soil modeling is given by Wulfsohn and<br />

Adams (2002). The authors describe the basics beginning with a purely elastic behavior<br />

following Hooke’s law (which was utilized by Soehne, 1953 and all approaches based on<br />

his work) and finishing with a detailed explanation of Critical State Soil Mechanics. On the<br />

contrary FEA models are difficult because they require many empirically determined input<br />

parameters. Critical state soil mechanics theory was initially developed for saturated clay<br />

soils, and later used to explain behavior of agricultural soils for example by Spoor and<br />

Godwin (1979). Towner (1983) describes the stress state in partially saturated soils with<br />

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

91

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