Most machine elements, such as gears and bearings, are operated in the mixe
d lubrication region. To evaluate lubrication performance for these tribolo
gical components, a contact model in mixed elastohydrodynamic lubrication i
s presented. This model deals with the EHL problem in the very thin film re
gion where the film is not thick enough to separate the asperity contact of
rough surface. The macro contact area is then divided into the lubricated
area and the micro asperity contact areas by the contacted rough surfaces.
In the case when asperity to asperity contact is present, Reynolds equation
is only valid in the lubricated areas. Asperity contact pressure is determ
ined by the interaction of two mating surfaces. The applied load is carried
out by the lubricant film and the contacted asperities. FFT techniques are
utilized to calculate the surface displacement (forward problem) by convol
ution and the asperity contact pressure (inverse problem) by deconvolution
for non-periodic surfaces. With the successful implementation of FFT and mu
ltigrid methods, the lubricated contact problem can be solved within hours
on a PC for the grids as large as one million nodes. This capability enable
s us to simulate random rough surfaces in a dense mesh. The load ratio, con
tact area ratio and average gap are introduced to characterize the performa
nce of mixed lubrication with asperity contacts. Discussions are given rega
rding the asperity orientation as well as the effect of rolling-sliding con
dition. Numerical results of real rough topography are illustrated with eff
ects of velocity parameter on load ratio, contact ratio, and average gap.