We revisit some classical and recent works on modelling sliding contact with wear
and propose their generalisation. Namely, we upgrade the relation between the
pressure and the wear rate by incorporating some nonlocal time-dependence. To this
effect, we use a combination of fractional calculus and relaxation effects. Moreover,
we consider a possibility when the load is not constant in time. The proposed model
is analysed and solved. The results are illustrated numerically and comparisons with
similar models are discussed.
Keywords
contact problems, punch motion with a constant speed, wear
of material, fractional order models