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Influence of Surface Energy Inhomogeneity on Contact Adhesion: Simulation and Experiment

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Abstract

The paper presents simulation data on the indentation of a rigid indenter with an inhomogeneous surface energy into an elastic half-space, showing that the surface energy distribution has a critical effect on the contact properties. The data include dependences of the average normal force and contact radius on the indentation depth, obtained by averaging a large number of random surface energy distributions, and 3D probability density functions of these quantities. Also presented are experimental data on the indentation of a steel indenter with chemically inhomogeneous surface properties into an elastic sheet of transparent rubber, allowing one to judge the evolution of the contact force and contact configuration. The experimental data show that the surface energy distribution has hardly any effect on the contact properties during indentation and has a strong effect on the behavior of the system during separation. The simulation and experimental data agree qualitatively.

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  • 31 August 2021

    Corrected issue title

Notes

  1. The approximation is for the interval 0.1 J/m2 < Δ < 0.45 J/m2, because the function f (Δ) is asymmetric at its edges. The quantity µ in (11) is calculated as an average for each Δ(RN), and hence µ(RN) в (11) coincides with the dashed-dot line in Fig. 3c.

  2. It is for this reason that only the detachment of the indenter is considered in the theoretical part of the paper (Sects. 3 and 4).

  3. Therefore, the linear dependence F(d) corresponding to a constant area at the stage of direction reversal is more pronounced in Fig. 6 than in Fig. 8.

  4. In real experiments, there is always a measurement error, and therefore, any derivative is fluctuating, which is seen in Fig. 11c. When we say that a derivative is constant, we mean that it fluctuates about a certain average value. Such fluctuations can easily be eliminated by filtration, but our choice is original data in Fig. 11c.

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Funding

The work was supported by the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG), project PO 810-55-1 and Tomsk State University Competitiveness Improvement Program.

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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. Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences, 634055, Tomsk, Russia

    V. L. Popov

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Correspondence to V. L. Popov.

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Lyashenko, I.A., Popov, V.L. Influence of Surface Energy Inhomogeneity on Contact Adhesion: Simulation and Experiment. Phys Mesomech 24, 426–440 (2021). https://doi.org/10.1134/S102995992104007X

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