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

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

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66<br />

in such a way that friction would increase, and attributed the behaviour to adhesion<br />

acting in true contact areas. This statement initiated long lasting contradiction<br />

between adherents of mechanical and molecular theories of friction. In 1781<br />

Coulomb published his “Theory of s<strong>im</strong>ple machines” where he acknowledged the<br />

influence of adhesion on friction. However he pointed out to the work that had to be<br />

done during relative sliding of rough surfaces as the main source of friction.<br />

Coulomb expressed the low of friction as follows:<br />

T = N + C, (9.1)<br />

where C was a constant dependent on the molecular interaction of surfaces in<br />

friction (cohesion).<br />

Coulomb postulated that the value of C is constant for flat surfaces, and<br />

independent of the normal load. Leslie criticized Coulomb’s theory in 1804 and<br />

indicated that it should contain the incorporate deformation of surface asperities<br />

as the necessary condition for energy losses to take place. This remark was<br />

supported by work of Bowden [21] who cla<strong>im</strong>ed that the character of interaction<br />

between bodies depended on the relation between their hardness, as well as on<br />

temperatures of melting of the substances and the temperature of the contact area.<br />

According to Bowden, friction force is composed of the force necessary to shear<br />

bonds between asperities and the force necessary to draw a groove in the weaker<br />

material. This author did not consider molecular interaction of surfaces nor the<br />

influence of surface roughness, and assumed purely mechanical interaction of bodies<br />

in friction. Progress in technologies of surface treatment did not result in the<br />

el<strong>im</strong>ination of friction, a fact that supported the point of view of followers of<br />

molecular theories of friction. In 1929 Tomlison (following Hebda and Wachal, [62])<br />

proposed that friction was a result of adhesion of sliding surfaces. Dispersion of<br />

energy was a result of continual changes of pairs of interacting molecules and of the<br />

creation of new molecular bonds. Based on laboratory testing, Tomlison formulated<br />

an empirical relationship for coefficient of friction in the form of:<br />

µ = 0.18⋅10 8 (A k + A p ) 2/3 , (9.2)<br />

where A k and A p – material parameters.<br />

Another molecular theory of friction was proposed by Deriagin (following<br />

Kragelsky et al., [86]). This author proposed that friction depended on molecular<br />

roughness of the material that was interrelated with material structure. Deriagin’s<br />

concept was valid in the case of ideal sliding, but did not consider frictional wear of<br />

sliding materials. In 1939 Kargelsky [86] published the principles of a molecular-

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