A perturbation method in elastohydrodynamic lubrication of cylindrical surfaces (Q1072379)

The typical relations of elastohydrodynamics are linearized through geometrical considerations and a single integro-differential equation, where the pressure is the unknown quantity, is found. A perturbation method is used for the solution, and, in the assumption of an incompressible and isoviscous fluid, an explicit expression of the pressure gradient and, consequently, of the total load and the film thickness is obtained when displacements are not high.