Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1975 · 91 citations · 7 references
EngineeringComputational EngineeringMechanical EngineeringComputational Fluid DynamicsFluid DynamicsThin FilmsContact AnalysisFinite Element DiscretizationFinite Element FormulationLubrication EngineeringSolid Mechanics ApplicationsComputational ElastodynamicsComputational Lubrication AnalysisElastohydrodynamic LubricationHigher-order Finite ElementsLubricated ContactLubrication TheoryPolynomial Basis FunctionsThin-film Lubrication
Abstract A unified mathematical treatment of thick and thin film elastohydrodynamic lubrication problems is presented. The construction of approximate solutions is discussed by using Ritz-Galerkin methods with piecewise polynomial basis functions. In particular for the line contact problem, smooth Hermite and cubic spline spaces are used to obtain solutions over a wide load-speed range. Pressure ‘spikes’ are obtained.
7