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Multilayer modelling of lubricated contacts : a new approach based on a potential field description.

Scholle, Markus and Mellmann, Marcel and Gaskell, Philip H. and Westerkamp, Lena and Marner, Florian (2020) 'Multilayer modelling of lubricated contacts : a new approach based on a potential field description.', in Multiscale biomechanics and tribology of inorganic and organic system. Cham: Springer, pp. 359-375. Springer Tracts in Mechanical Engineering book series (STME).


A first integral approach, derived in an analogous fashion to Maxwell’s use of potential fields, is employed to investigate the flow characteristics, with a view to minimising friction, of shear-driven fluid motion between rigid surfaces in parallel alignment as a model for a lubricated joint, whether naturally occurring or engineered replacement. For a viscous bilayer arrangement comprised of immiscible liquids, it is shown how the flow and the shear stress along the separating interface is influenced by the mean thickness of the layers and the ratio of their respective viscosities. Considered in addition, is how the method can be extended for application to the more challenging problem of when one, or both, of the layers is a viscoelastic material.

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Publisher statement:© The Author(s) 2021. This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
Date accepted:No date available
Date deposited:No date available
Date of first online publication:24 November 2020
Date first made open access:08 December 2020

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