Advances in Engineering Advances in Engineering features breaking research judged by Advances in Engineering advisory team to be of key importance in the Engineering field. Papers are selected from over 10,000 published each week from most peer reviewed journals.
Wear, Volume 314, Issues 1–2, 15 June 2014, Pages 20-27.
Stanisław Bogdański
The Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology, Nowowiejska 24, 00-665 Warsaw, Poland
Abstract
The comparison of quasi-static and hydrodynamic modelling of liquid–solid interaction in 3D squat-type cracks is presented. The hydrodynamic interaction is modelled by coupling the 3D finite element model of a squat-type crack and the theoretical squeeze fluid film model of liquid contained in the crack interior. In the finite element model, the contact interaction between rail and wheel is simulated by the theoretical Hertz’ contact pressure approaching the crack from the location far from the crack. The squeeze fluid film in the central plane perpendicular to the crack front is modelled on the basis of the one-dimensional Reynolds equation derived for compressible fluid with pressure dependant viscosity. The profile of opening/closing velocity along the crack length obtained from the solution of finite element model is approximated with an analytical function and used for analytical integration of Reynolds equation. This integrated form of equation allows for determining the pressure distribution along the crack faces.
The purpose of analysis is among others to verify an opinion about the ability of “sucking in” a liquid (for instance oil or water) into the crack interior during single cycle of opening. Additionally, the results are compared with that obtained earlier by the author and others on the basis of the quasi static approach, i.e. the so called “liquid entrapment mechanism”, especially in respect of the effect on the crack growth and crack fronts shape development.
