Sliding abrasion pressure dependence

An abrasion experiment is carried out by sliding a rubber sample over a given distance and determining the volume loss by some suitable method, usually by determining the difference in weight before and after. It is always assumed that the abraded volume is proportional to the distance covered between measurements, which is reasonable if the sharpness of the track remains constant. Hence, the abraded volume is always referred to unit distance covered. This basic quantity depends on the pressure between the sliding surfaces, the temperamre, speed, and the topography of the track, such as sharpness and coarseness of the asperities. 

A more basic approach is to consider the dependence of the abrasion loss not on pressure but the energy dissipation W caused by the frictional force F. For sliding experiments this is... 

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