Computational Mechanics

, Volume 56, Issue 3, pp 421–441 | Cite as

Homogenization of soft interfaces in time-dependent hydrodynamic lubrication

  • G. Kabacaoğlu
  • İ. Temizer
Original Paper


The difficulty behind the unsteady lubrication problem is the oscillation of the film thickness in both position and time. The present study aims to extend the multiscale analysis of lubricated interfaces to the unsteady hydrodynamic lubrication case with deformable random microrough surfaces. For that purpose, the homogenization framework for the time-dependent problem is first presented in a setting that unifies all hydrodynamic lubrication cases. The differences between the periodic commensurate and incommensurate as well as random microrough surfaces are highlighted with numerical investigations. A time averaging method is proposed in order to deliver the effective macroscopic response and its efficacy is discussed for different types of microrough surfaces. Finally, the deformation is implemented through the numerically efficient Taylor assumption at the microscale and the ability of the proposed method to reflect the deformation effects is discussed.


Soft elastohydrodynamic lubrication Time-dependent Reynolds equation Homogenization Random roughness Taylor assumption 



Support by the Scientific and Technological Research Council of Turkey (TÜBİTAK) under the 1001 Programme (Grant No. 114M406) and by the European Commission under the project MultiscaleFSI (Grant No. PCIG10-GA-2011-303577) is gratefully acknowledged.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringBilkent UniversityAnkaraTurkey

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