Continuum based methods are traditionally thought to be of little value in
describing boundary lubrication, or the mode of lubrication in molecular sc
ale films that may occur at asperity interactions during the sliding of nom
inally flat surfaces. There is considerable experimental evidence, which su
ggests that the classical theory may be valid with modification to films as
thin as several nanometers. In addition, lubricants, which exhibit viscous
liquid properties in bulk, may form attached solid-like elastic layers whe
n confined between solid surfaces. In the present paper, the simple ''elast
ic foundation'' concept is used to model the elastic layers, in contact wit
h a viscous fluid film. Several typical bearing contact flow problems are s
olved, giving hope that boundary lubrication may eventually be modeled in t
he same manner as hydrodynamic lubrication in thicker films.