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Deformation behaviour of railway embankment ... - Liikennevirasto

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36<br />

addition, when both the complexity <strong>of</strong> the model and the number <strong>of</strong> parameters<br />

increase, the physical meaning <strong>of</strong> a single parameter is more difficult to conceive. It<br />

may also happen that the model describes very accurately the <strong>behaviour</strong> <strong>of</strong> the material<br />

in the loading condition <strong>of</strong> a certain laboratory test, but the applicability <strong>of</strong> the model to<br />

other loading conditions cannot always be guaranteed. Finally, it is not usually known<br />

how the changes in the quality and physical state <strong>of</strong> the material affect the model<br />

parameters. Instead, the changes must be investigated separately for all different<br />

conditions.<br />

Non-linear elastic models for resilient deformation are described in detail in Chapter 5.<br />

3.3 Models <strong>of</strong> particulate mechanics<br />

The counterpart <strong>of</strong> the continuum mechanics based modelling <strong>of</strong> the mechanical<br />

<strong>behaviour</strong> <strong>of</strong> granular materials is the so-called particulate mechanics modelling, where<br />

interactions between the distinct particles are explicitly investigated. The basic idea <strong>of</strong><br />

the approach is that, when the number <strong>of</strong> particles is sufficiently large, the <strong>behaviour</strong> <strong>of</strong><br />

the group <strong>of</strong> particles can be extended to describe the macroscopic <strong>behaviour</strong> <strong>of</strong> the<br />

actual material.<br />

The approaches for modelling the mechanical <strong>behaviour</strong> <strong>of</strong> the granular materials<br />

starting from the particle level can be divided into two groups, namely, numerical<br />

simulation models and analytical models (Kolisoja 1997).<br />

A natural way to implement a model describing the <strong>behaviour</strong> <strong>of</strong> materials composed <strong>of</strong><br />

discrete particles is to use computer simulation. In the simulation model the material is<br />

modelled by means <strong>of</strong> a particulate system where the location and the surfaces <strong>of</strong> each<br />

particle are mathematically defined. Moreover, each contact point between the particles<br />

is individually modelled along with the forces at the contact point. A mechanical model<br />

<strong>of</strong> a contact point can be, for example, as illustrated in Figure 3.3:1.

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