Sur quelques modélisations de la zone de cavitation en lubrification hydrodynamique. (Some modelling of the cavitation region in hydrodynamic lubrication). (French) Zbl 0621.76030

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.


76D08 Lubrication theory
49S05 Variational principles of physics
76M99 Basic methods in fluid mechanics