In cold rolling of thin strips, i.e., foils (Thicknelt;50µm),it is important to take into account the flattening of the roll surfaces .The displacement of the roll surface is obtained by combining some results from the well-known Hertzian theory of contact mechanics and roll-modeling as a system of springs with different spring constants whithin contact conjuction .Use of lubricants can reduce rolling force and improve surface properties of the foil. Depending on the lubricant properties and rolling speed ,either hydrodynamic lubrication or mixed lubrication regimes ca prevail . The present theoretical work is focoused upon the influence of the rolling-process parameters like rolling speed , reduction ratio , roll surface roughness and lubricant viscosity on the friction coefient and film thickness in the roll bite in the mixed lubrication regim. Results show that by viscosity increase rolling force decrease and film thickness increase.
