On the analytical approach to Galin's stick-slip problem. A survey

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Galin's classical work (PMM J Appl Math Mech 9:413-424, 1945) on the contact of a rigid flat-ended indenter with an elastic half-plane with partial slip was the first successful attempt to take into account friction in the problem of normal contact. As Galin was unable to find an exact solution of the formulated problem, the problem of contact with partial slip of a rigid punch with an elastic half-plane was challenged by many researchers. At the same time Galin's seminal work stimulated development of solutions for other contact problems with friction that feature different punch geometries and different material responses. This paper presents an overview of the developments in the area of elastic contact with partial slip. In the spirit of Galin's work the focus is placed on contributions with substantial analytical merit.

Original languageEnglish (US)
Pages (from-to)315-333
Number of pages19
JournalJournal of Elasticity
Issue number3
StatePublished - Mar 2008
Externally publishedYes


  • Analytical treatment
  • Contact mechanics
  • Friction
  • Stick-slip problem

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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