Temizer, I.Stupkiewicz, S.2018-04-122018-04-1220161364-5021http://hdl.handle.net/11693/36562The Reynolds equation, which describes the lubrication effect arising through the interaction of two physical surfaces that are separated by a thin fluid film, is formulated with respect to a continuously evolving third surface that is described by a time-dependent curvilinear coordinate system. The proposed formulation essentially addresses lubrication mechanics at interfaces undergoing large deformations and a priori satisfies all objectivity requirements, neither of which are features of the classical Reynolds equation. As such, this formulation may be particularly suitable for non-stationary elastohydrodynamic lubrication problems associated with soft interfaces. The ability of the formulation to capture finite-deformation effects and the influence of the choice of the third surface are illustrated through analytical examples. © 2016 The Author(s).EnglishElastohydrodynamic lubricationFinite deformationsObjectivityReynolds equationSoft interfacesTime-dependent curvilinear coordinatesDeformationLubricationArticle10.1098/rspa.2016.0032