Semi-analytical and numerical analysis of sliding asperity interaction for power-law hardening materials

Bin Zhao, Song Zhang*, Leon M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


The study of the sliding process between asperities on rough surfaces can improve the understanding of wear mechanisms. The sliding interaction between asperities is analyzed in this paper using both a semi-analytical model and a finite element model. Power-law hardening materials are considered, and the asperity profiles are assumed to be a parabolic approximation to the cylinder. The effects of strain hardening exponents on some contact parameters are explored with the finite element model. Results show that the faster semi-analytical model agrees well with the finite element model for materials with larger hardening exponents, while for materials with smaller exponents, the errors would preclude its use. As the exponent decreases, the dragging effect in sliding becomes more notable and influences the contact parameters more significantly. Friction shows a significant effect in the sliding process after preliminary consideration, which should be explored in detail further.

Original languageEnglish (US)
Pages (from-to)184-192
Number of pages9
StatePublished - Oct 15 2016


  • Asperity contact
  • Numerical model
  • Power-law hardening materials
  • Semi-analytical model
  • Sliding

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry


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