Sinkage tests for mobility study, modelling and experimental validation

The sinkage of the bearing tracks or wheels of a vehicle in soil induces a resistance to travel motion. Usually it is determined with methods based on the modelling of soil pressure-sinkage curves. This article presents a new method for modelling soil penetration tests as a result of experimental study of three standard soils. These soils have been chosen to represent the mechanical properties of a range of soils: a sand for frictional soils, a silt for cohesive soils and a silty sand for cohesive frictional soils. The models take into account the mechanical behaviour of soils where a small vertical sinkage can be assumed analogous to elastic behaviour, while for large sinkage, the analogy is with plastic behaviour. A New Model of Mobility (N2M) is proposed. A new equation relating the pressure p and the sinkage z is governed by four parameters which are constant for a specific soil in a given physical state. These parameters can be calculated with two sinkage tests made with two different plate diameters and are particularly stable: a small change of one of them involves a small change of the modelling. They are independent of the size of the sinkage plate and hence could pave the way for the extrapolation to the scale of full size vehicles. For the tested soils, comparison of the model results with experimental tests is very promising.