An isothermal elasto-plastic asperity contact model is devel oped and prese
nted in this paper; which deals with micro plastic flows of materials and t
he influence of the elasto-plastic deformation of materials on the behavior
of contacting surfaces. The model is solved with the incremental form of a
simplex-type algorithm. The von Mises yield criterion is used to determine
the onset of the plastic deformation. The effectiveness and validity of th
e model are studied through analyzing a Hertzian contact problem. Substrate
stresses are calculated and differences are observes. Furthermore, the con
tact pressure, real area of contact, and average gap of real rough surfaces
under the elastic, elastic-perfectly-plastic, and the elasto-plastic conta
ct conditions are numerically investigated and the results are compared.