Skip to main content
SpringerLink
Log in
Book cover

Analysis and Simulation of Contact Problems pp 305–312Cite as

Elasto-plastic contact of fractal surfaces

  • Chapter

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 27))

Abstract

The elasto-plastic normal contact of fractal surfaces is numerically investigated using a halfspace model. Artificial surface data are generated using the structure function, to study the influence of different surface parameters with respect to the load-area relationship and the load-gap relationship. The simulations show that for realistic surface parameters the deformation is always in the plastic range.

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

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Archard, J. F.: Elastic Deformation and the Laws of Friction. In: Proceedings of the Royal Society of London, Series A 243 (1957), S. 190–205.

    Google Scholar 

  2. Berry, M. V.; Blackwell, T. M.: Diffractal Echoes. In: Journal of Physics A 14 (1981), S. 3101–3110.

    Article  MathSciNet  Google Scholar 

  3. Borri-Brunetto, M.; Carpinteri, A.; Chiaia, B.: Lacunarity of the Contact Domain Betweeen Elastic Bodies with Rough Boundaries. In: Frantziskonis, G. (Hrsg.): PROBAMAT – 21st Century: Probabilities and Materials. S. 45–66. Dordrecht: Kluwer, 1998.

    Google Scholar 

  4. Bowden, F. P.: A Review of the Friction of Solids. In: Wear 1 (1957), S. 333–346.

    Google Scholar 

  5. Ciavarella, M.; Demelio, G.: Elastic Multiscale Contact of Rough Surfaces: Archard’s Model Revisited and Comparison with Modern Fractal Models. In: Journal of Applied Mechanics 68 (2001), S. 496–498.

    Article  Google Scholar 

  6. Tian, X.; Bhushan, B.: A Numerical Three-Dimensional Model for the Contact of Rough Surfaces by Variational Principle. In: Journal of Tribology 118 (1996), S. 33–42.

    Google Scholar 

  7. Willner, K.: Elasto-Plastic Normal Contact of Three-Dimensional Fractal Surfaces Using Halfspace Theory. In: Journal of Tribology 126 (2004), S. 28–33.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lehrstuhl für Technische Mechanik, Universität Erlangen-Nürnberg, Egerlandstraße 5, Erlangen, 91026, Germany

    K. Willner

Authors
  1. K. Willner
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mechanics and Computational Mechanics, University of Hannover, Appelstr. 9A, Hannover, 30167, Germany

    Peter Wriggers Professor Dr.

  2. Institute of Mechanics and Computational Mechanics, University of Hannover, Appelstr. 9A, Hannover, 30167, Germany

    Udo Nackenhorst Professor Dr.

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this chapter

Cite this chapter

Willner, K. (2006). Elasto-plastic contact of fractal surfaces. In: Wriggers, P., Nackenhorst, U. (eds) Analysis and Simulation of Contact Problems. Lecture Notes in Applied and Computational Mechanics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31761-9_34

Download citation

  • DOI: https://doi.org/10.1007/3-540-31761-9_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31760-9

  • Online ISBN: 978-3-540-31761-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation