Compliance of coated elastic bodies in contact

L. M. Keer*, S. H. Kim, A. W. Eberhardt, V. Vithoontien

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


A model is constructed to analyze the effects or normal and tangential loading on elastically identical coated spheres. The solution for a tangential displacement applied to a circular patch on the coated surfaces, including the occurrence of micro-slip (either full or partial slippage), is derived. If it is assumed that the slip region is a circular annulus of inner radius c, then the following two sets of approximations can be made: a "stiff" approximation that satisfies the zero micro-slip condition exactly for the inner circle and a "soft" approximation that satisfies the Amontons-Coulomb frictional law exactly for the slip region. It is concluded that the "soft" approximation gives an accurate value for the symmetric traction component, 1 2[τzr1(1)zθ1(1)], induced by the normal and tangential loads.

Original languageEnglish (US)
Pages (from-to)681-698
Number of pages18
JournalInternational Journal of Solids and Structures
Issue number6
StatePublished - 1991

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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