In this paper the elastoplastic asperity-based model for the contact o
f rough surfaces is presented. The model adopts most of the basic aspe
rity-based model's assumptions, introducing, however, a more realistic
elastoplastic deformation law for the analysis of individual asperity
deformation. The elastoplastic deformation of an individual asperity
is numerically investigated by means of the Finite Elements Method, an
d evaluated relations are combined with statistical description of the
surface. The results were contrasted and discussed together with resu
lts obtained from other models, as well as with experimental results.