Skip to main content

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 134))

Abstract

A novel and rigorous ‘inverse hydrodynamic’ approach is described in a companion paper for problems of unsteady elastohydrodynamic lubrication. In it all spatially-distributed quantities are represented by nodal values via finite element discretization. Though the formulation accommodates piezoviscous lubricant models as well as planar, cylindrical, and spherical geometries, it is illustrated here by the prototypical planar example of normal approach of a lightly-loaded rigid indenter to a discretized elastic solid separated by a nearly isoviscous lubricant film. Results from the new ‘nodal’ formulation are compared with those from a previous (and more approximate) ‘modal’ approach to unsteady EHL computation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Boedo, S. and Booker, J.F., 1997, Surface roughness and structural inertia in a mode-based mass-conserving elastohydrodynamic lubrication model, Trans. ASME, J. Trib. 119(3), 449–455.

    Google Scholar 

  • Booker, J.F., 2005, Unsteady EHL: An inverse hydrodynamic formulation, in Life Cycle Tribology, Proc. 31st Leeds-Lyon Symposium on Tribology, Leeds, 7–10 September 2004, D. Dowson, M. Priest, G. Dalmaz and A.A. Lubrecht (eds), Elsevier, Amsterdam, pp. 65–72 (ISBN 0-444-51687-5).

    Google Scholar 

  • Gaman, I.D.C., Higginson, G.R. and Norman, R., 1974, Fluid entrapment by a soft surface layer, Wear 28:345–352.

    Article  Google Scholar 

  • Higginson, G.R., 1978, Squeeze films between compliant solids, Wear 46:387–395.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this paper

Cite this paper

Booker, J.F., Boedo, S. (2006). Unsteady EHL: ‘Nodal’ & ‘Modal’ Formulations. In: Snidle, R.W., Evans, H.P. (eds) IUTAM Symposium on Elastohydrodynamics and Micro-elastohydrodynamics. Solid Mechanics and Its Applications, vol 134. Springer, Dordrecht . https://doi.org/10.1007/1-4020-4533-6_5

Download citation

  • DOI: https://doi.org/10.1007/1-4020-4533-6_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4532-5

  • Online ISBN: 978-1-4020-4533-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics