Influence of tangential displacement on the adhesion strength of a contact between a parabolic profile and an elastic half-space

Valentin L. Popov, Iakov A. Lyashenko, Alexander E. Filippov

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4 Citations (Scopus)


The adhesion strength of a contact between a rotationally symmetric indenter and an elastic half-space is analysed analytically and numerically using an extension of the method of dimensionality reduction for superimposed normal/tangential adhesive contacts. In particular, the dependence of the critical adhesion force on the simultaneously applied tangential force is obtained and the relevant dimensionless parameters of the problem are identified. The fracture criterion used coincides with that suggested by Johnson. In this paper, it is used to develop a method that is applicable straightforwardly to adhesive contacts of arbitrary bodies of revolution with compact contact area.

Original languageEnglish
Article number161010
JournalRoyal Society Open Science
Issue number8
Publication statusPublished - 30 Aug 2017



  • Adhesion
  • Friction
  • Method of dimensionality reduction
  • Numerical simulation
  • Shear force
  • Tribology

ASJC Scopus subject areas

  • General

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