HOMOGENIZATION OF A NONLOCAL ELASTOHYDRODYNAMIC LUBRICATION PROBLEM: A NEW FREE BOUNDARY MODEL
Guy Bayada, S. MARTIN, Carlos Vázquez · Mathematical Models and Methods in Applied Sciences · 2005
This paper deals with the homogenization of a lubrication problem, using two-scale convergence techniques. We study in particular the Reynolds–Hertz model, which takes into account elastohydrodynamic deformations of the upper surface, when highly oscillating roughness effects occur. The difficulty arises when considering cavitation free boundary phenomena, leading to highly nonlinear and nonlocal problems.