Elastic-plastic contact model for rough surfaces based on plastic asperity concept

Jamil Abdo*, Kambiz Farhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

64 Citations (Scopus)


A mathematical formulation for the contact of rough surfaces is presented. The derivation of the contact model is facilitated through the definition of plastic asperities that are assumed to be embedded at a critical depth within the actual surface asperities. The surface asperities are assumed to deform elastically whereas the plastic asperities experience only plastic deformation. The deformation of plastic asperities is made to obey the law of conservation of volume. It is believed that the proposed model is advantageous since (a) it provides a more accurate account of elastic-plastic behavior of surfaces in contact and (b) it is applicable to model formulations that involve asperity shoulder-to-shoulder contact. Comparison of numerical results for estimating true contact area and contact force using the proposed model and the earlier methods suggest that the proposed approach provides a more realistic prediction of elastic-plastic contact behavior.

Original languageEnglish
Pages (from-to)495-506
Number of pages12
JournalInternational Journal of Non-Linear Mechanics
Issue number4
Publication statusPublished - May 2005


  • Contact model
  • Elastic-plastic interaction
  • Friction-induced vibration
  • Rough surfaces

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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