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Adhesion between a Rigid Indenter and an Elastic Half-Space for Incompressible Gradient Media with a High Gradientness Index

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Abstract

The contact problem of a cylindrical indenter and gradient medium is considered with allowance for adhesion forces between surfaces of contacting bodies. An analytical solution of the problem is found for the case of a gradient medium with a power dependence of the elastic modulus on the normal coordinate. The case of incompressible media with a Poisson ratio of 1/2 is described in detail. It is shown that the behavior of the system in this case can qualitatively differ from the case of homogeneous media. The influence of the surface roughness, which is modeled in the form of axisymmetric waviness is considered. Special attention is paid to the contact between a parabolic indenter and a gradient medium; the differences from the case of a cylinder are shown.

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ACKNOWLEDGMENTS

We are grateful to Li Qiang and Markus Heß for fruitful discussions.

Funding

This work was supported by the German Research Foundation (DFG), project PO 810-55-1; it partially contains results of investigations carried out within the scope of Ukraine President Grant, competitive project 0119U103175.

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Authors and Affiliations

  1. Technische Universität Berlin, 10623, Berlin, Germany

    I. A. Lyashenko & V. L. Popov

  2. Sumy State University, 40007, Sumy, Ukraine

    I. A. Lyashenko

  3. National Research Tomsk State University, 634050, Tomsk, Russia

    V. L. Popov

  4. National Research Tomsk Polytechnic University, 634050, Tomsk, Russia

    V. L. Popov

Authors
  1. I. A. Lyashenko
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  2. V. L. Popov
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Corresponding author

Correspondence to I. A. Lyashenko.

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The authors declare that they do not have conflicts of interest.

Additional information

Translated by A. Nikol’skii

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Lyashenko, I.A., Popov, V.L. Adhesion between a Rigid Indenter and an Elastic Half-Space for Incompressible Gradient Media with a High Gradientness Index. Tech. Phys. 65, 728–736 (2020). https://doi.org/10.1134/S1063784220050151

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  • DOI: https://doi.org/10.1134/S1063784220050151

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