Modelling rolling contact fatigue cracks in the hydrodynamic lubrication regime: A coupled approach

On the Fully Turbulent Regime in Hydrodynamic Lubrication

The long-standing classical theory of lubrication in the fully hydrodynamic regime is essentially traced back on the assumptions of (i) a relatively slender gap formed by two rigid surfaces that exhibit a (counter-)sliding (and “squeezing”) motion in the specific reference frame, (ii) a Newtonian lubricant, (iii) the neglect of inertia terms in the Navier-Stokes equations, and (iv) strictly lam...

Modelling Cavitation in (Elasto)Hydrodynamic Lubrication

In this chapter we will present a derivation of a mathematical model describing how cavitation influences the pressure distribution in a thin lubricant film between two moving surfaces. The main idea in the derivation is to first describe the influence of cavitation on the mass flow and thereafter using a conservation law for the mass. This leads to a nonlinear system with two complementary var...

Rolling Contact Fatigue in Ultra High Vacuum

Investigations on Cold Rolling of Strip in Attendance of Hydrodynamic Lubrication

In this paper an analytical model for cold rolling of strip has been described. This model is developed based on the slab method of analysis and the hydrodynamic lubrication. The characteristics of rolling are obtained from the equations of equilibrium and the plate was allowed to strain harden assuming that the lubricant behaves as a Newtonian fluid. The shear stress to the plate is obtained b...

Investigations on Cold Rolling of Strip in Attendance of Hydrodynamic Lubrication

In this paper an analytical model for cold rolling of strip has been described. This model is developed based on the slab method of analysis and the hydrodynamic lubrication. The characteristics of rolling are obtained from the equations of equilibrium and the plate was allowed to strain harden assuming that the lubricant behaves as a Newtonian fluid. The shear stress to the plate is obtained b...