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The Stability Analysis of Stationary Modes of the Ice Surface Softening During the Friction Process

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Nanomaterials and Nanocomposites, Nanostructure Surfaces, and Their Applications (NANO 2020)

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 263))

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Abstract

This paper investigates the melting process of the upper layer of ice, which acts as an ultra-thin layer of lubricant between two hard and smooth surfaces. Melting occurs due to the spontaneous occurrence of shear deformation by external supercritical heating. This process was described by the Kelvin-Voigt equation for a viscoelastic medium and the Landau-Khalatnikov relaxation equation for thermal conductivity. As a result, using the phase plane method, the kinetics of the ice melting process and the types of stability of possible stationary states of the system were analyzed.

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Authors and Affiliations

  1. Sumy State University, Sumy, Ukraine

    O. V. Yushchenko, A. Yu. Badalian & O. V. Khomenko

Authors
  1. O. V. Yushchenko
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  2. A. Yu. Badalian
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  3. O. V. Khomenko
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Corresponding author

Correspondence to A. Yu. Badalian .

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Editors and Affiliations

  1. Institute of Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Olena Fesenko

  2. Institute of Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Leonid Yatsenko

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Yushchenko, O.V., Badalian, A.Y., Khomenko, O.V. (2021). The Stability Analysis of Stationary Modes of the Ice Surface Softening During the Friction Process. In: Fesenko, O., Yatsenko, L. (eds) Nanomaterials and Nanocomposites, Nanostructure Surfaces, and Their Applications . NANO 2020. Springer Proceedings in Physics, vol 263. Springer, Cham. https://doi.org/10.1007/978-3-030-74741-1_23

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