Adhesive Interaction of Elastic Bodies with Regular Surface Relief

Abstract—

This paper focuses on adhesive interaction between an axisymmetric indenter and an elastic half-space taking into account the surface microrelief in the form of regularly located identical asperities covering the indenter. The microlevel contact between the asperities system and the elastic half-space is considered discrete. The solution to the problem at the macrolevel is constructed using the dependence of the effective specific adhesion force on the value of the nominal gap obtained by solving the problem at the microlevel. The constructed solution makes it possible to model the influence of microgeometry and adhesion parameters on the contact interaction of elastic bodies at the macrolevel.

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Funding

This work is partially supported by the Russian Foundation for Basic Research (project no. 19-01-00231). The solution of the contact problem at the macrolevel and its analysis (Sections 3 and 4) were supported by the Russian Science Foundation (project no. 18-19-00574).

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Correspondence to Yu. Yu. Makhovskaya.

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Translated by L. Trubitsyna

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Makhovskaya, Y.Y. Adhesive Interaction of Elastic Bodies with Regular Surface Relief. Mech. Solids 55, 1105–1114 (2020). https://doi.org/10.3103/S0025654420070134

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Keywords:

  • adhesion
  • discrete contact
  • regular relief