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Contact Properties of Gradient Materials with a High Gradient Index

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Abstract

We study the adhesive contact between an rigid parabolic indenter and a half-space the elastic modulus of which is a power function of depth. A diagram is presented that shows the areas corresponding to a stable solution of the contact problem for high gradient exponents. It is shown that the adhesive contact between materials with a high gradient index is not destroyed when they are removed to any distance from each other.

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Fig. 1.
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Notes

  1. k = 0 corresponds to a homogeneous medium with elastic modulus E = E0.

  2. For some parameter values k and ν, function β(k, ν) can be an imaginary value, but the resulting function hN(k, ν) always takes real values.

  3. Vertical stripes on the diagram in Fig. 2 are associated with a change in the sign of the factors cos(kπ/2) and sin(βπ/2) in the experession for hN(k, ν) (4).

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Funding

This work was supported by the Deutsche Forschungsgemeinschaft, project PO 810-55-3.

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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, 634055, Tomsk, Russia

    V. L. Popov

Authors
  1. I. A. Lyashenko
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Correspondence to I. A. Lyashenko.

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Lyashenko, I.A., Popov, V.L. Contact Properties of Gradient Materials with a High Gradient Index. Tech. Phys. 67, 28–33 (2022). https://doi.org/10.1134/S1063784222010108

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