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Strona 2_redak - Instytut Agrofizyki im. Bohdana Dobrzańskiego ...

Strona 2_redak - Instytut Agrofizyki im. Bohdana Dobrzańskiego ...

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67<br />

mechanical theory of friction suggesting a “dual nature of friction”. Later investigations<br />

by numerous researchers did not lead to any general theory of friction.<br />

Currently two types of coefficients of friction are used [19], one that represents<br />

friction opposing the onset of relative motion, and one that represents friction<br />

opposing the continuance of relative motion once that motion has started. The former<br />

is called static coefficient of friction, and the latter – kinetic coefficient of friction. It is<br />

currently widely accepted that friction is not an intrinsic material property of the two<br />

contacting materials. The system approach has became a tool for the interpretation<br />

and use of friction data in modelling friction, developing friction mitigating materials,<br />

developing friction test methods, and designing machinery.<br />

9.2. Exper<strong>im</strong>ental Methods<br />

Testing the friction of granular materials requires an apparatus in which relative<br />

motion of the material and a sample of construction material takes place. Relative<br />

motion may be rectilinear or rotary. In the case of rectilinear motion the sliding surface<br />

has the shape of a flat plate or band, while in the case of rotary motion it has the shape<br />

of a disc or cylinder. In figure 9.1 apparati used by various authors are presented<br />

as reported in literature [11, 24, 26, 46, 52, 89, 97, 117, 141, 142, 151, 153, 161, 164].<br />

The choice of a specific shape of sliding surface decides on <strong>im</strong>portant features of<br />

the measuring system. Apparatuses with the flat plate (see fig 9.1 a, b) assure<br />

uniform distribution of sliding velocity, uniform distribution of normal pressure and<br />

easy interchange of sliding surface. However, sliding velocity and sliding path are<br />

l<strong>im</strong>ited. Use of continuous band (see fig. 9.1 e) allows for uniform distribution of<br />

velocity and pressure with higher sliding speed and unl<strong>im</strong>ited sliding path.<br />

However, frictional element in this shape is susceptible to vibration and may be<br />

produced only out of flexible materials. The shape of cylinder (see fig. 9.1 f)<br />

assures uniform distribution of sliding speed, but distribution of pressure is uneven,<br />

and obtaining interchangeable frictional surface poses a hard task to design and<br />

machine. Disc rotating around vertical axis (see fig. 9.1 c, d) allows for easy change<br />

of sliding surface, unl<strong>im</strong>ited sliding path, high sliding velocity and uniform<br />

distribution of pressure. However, sliding velocity varies along the disc radius.<br />

Values of coefficient of wall friction presented in the Appendix of this study<br />

have been determined following Eurocode 1 [50]. The test apparatus is a cylindrical<br />

shear cell as shown in figure 9.2. The diameter of the cylindrical shear cell<br />

should be at least 20 t<strong>im</strong>es of the max<strong>im</strong>um particle size and not less than 40<br />

t<strong>im</strong>es the mean particle size. The compacted height H of the sample should be<br />

between 0.15D and 0.2D.

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