G. Karami et al., FINITE-ELEMENT METHOD FOR EHL ANALYSIS OF SPHERICAL BODIES, Communications in numerical methods in engineering, 10(7), 1994, pp. 501-510
A finite-element solution for elastohydrodynamic lubrication (EHL) of
spherical bodies undergoing elastic deformation is presented. The Gale
rkin finite-element approach is employed and the domain under investig
ation is discretized using isoparametric quadrilateral elements. Isoth
ermal conditions are assumed and the generation of the pressure is ass
umed to be governed by the Reynolds equation. The viscosity and the de
nsity of the oil are assumed to be functions of the pressure. It is as
sumed that the underlying surface deforms elastically under the hydrod
ynamic pressure distribution. The accuracy of the technique is illustr
ated in particular examples.