Contact with friction of a rigid cylinder with an elastic half-space

O. I. Zhupanska, A. F. Ulitko

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


An exact solution to the problem of indentation with friction of a rigid cylinder into an elastic half-space is presented. The corresponding boundary-value problem is formulated in planar bipolar coordinates, and reduced to a singular integral equation with respect to the unknown normal stress in the slip zones. An exact analytical solution of this equation is constructed using the Wiener-Hopf technique, which allowed for a detailed analysis of the contact stresses, strain, displacement, and relative slip zone sizes. Also, a simple analytical solution is furnished in the limiting case of full stick between the cylinder and half-space.

Original languageEnglish (US)
Pages (from-to)975-999
Number of pages25
JournalJournal of the Mechanics and Physics of Solids
Issue number5
StatePublished - May 2005
Externally publishedYes


  • (B) Contact mechanics
  • (B) Elastic material
  • (B) Friction
  • (C) Integral transforms
  • Wiener-Hopf technique

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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