“…However, the time dependent evolution of pressure and film perturbations caused by the inclusions is not investigated. In this regard, Morales-Espejel 22 combined the rapid, semi-analytical micro-EHL model 6,8 with Eshelby's equivalent inclusion method 23 and, subsequently, 24 with the more efficient, finite-difference multigrid method for heterogeneous materials of Boffy et al 25,26 This enabled efficient solution of the problem in order to study the influence of inclusions on the EHL pressures, film thickness, and stresses. Time-dependent series of results are presented using single, multiple equidistant, or random ellipsoidal inclusions under rolling-sliding conditions, both for the cases where the surfaces are either smooth or including waviness.…”