an:04007942
Zbl 0621.76030
Bayada, G.; Chambat, M.
Sur quelques mod??lisations de la zone de cavitation en lubrification hydrodynamique. (Some modelling of the cavitation region in hydrodynamic lubrication)
FR
J. M??c. Th??or. Appl. 5, 703-729 (1986).
00151615
1986
j
76D08 49S05 76M99
Sommerfeld model; Reynolds model; free boundary problem; cavitation; hydrodynamic lubrication; bearings; finite elements procedure; lubricated system; variational inequalities
After a survey of some classical models, we study a new approach to the free boundary problem of the cavitation in hydrodynamic lubrication. This leads to a partial differential equation with a discontinuous nonlinearity; a mathematical study is carried out for two usual shapes of bearings. A finite elements procedure allows us to compute the operational data for a lubricated system with the new model and to compare them with those computed with another model based upon variational inequalities.