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Effect of Friction in Sliding Contact of Layered Viscoelastic Solids

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Advanced Problem in Mechanics II (APM 2020)

Abstract

Sliding contact of a smooth indenter and a two-layered half-space is considered taking into account rheological properties of materials. Tangential stresses at the surface due to friction are also taken into account in problem formulation. The case of a viscoelastic layer bonded with a rigid half-space is analyzed as well as an opposite one, which is viscoelastic half-space covered by rigid layer. The problem is formulated as quasi-static. Numerical-analytical method of solution is based on boundary element method and iteration procedure. The solution, which is similar for both cases, is developed based on double integral Fourier transforms. New analytical solution is used to calculate influence coefficients for the computation procedure. Contact pressure, energy dissipation and internal stresses are analyzed in dependence on friction coefficient, sliding velocity, layer thickness and Poisson’s ratio. The analysis of stresses inside the layer or in the viscoelastic substrate can be used to predict the coating fracture in friction interaction.

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References

  1. Bai, C., Liang, A., Cao, Z., Qiang, L., Zhang, J.: Achieving a high adhesion and excellent wear resistance diamond-like carbon film coated on NBR rubber by Ar plasma pretreatment. Diam. Relat. Mater. 89, 84–93 (2018)

    Article  Google Scholar 

  2. Mark, A.V.: The uniform motion of rectangular and parabolic punches in a viscoelastic layer. J. Appl. Math. Mec. 72(4), 492–498 (2008)

    Article  Google Scholar 

  3. Aleksandrov, V.M., Mark, A.V.: Quasistatic periodic contact problem for a viscoelastic layer, a cylinder, and a space with a cylindrical cavity. J. Appl. Mech. Tech. Ph. 50(5), 866–871 (2009)

    Article  Google Scholar 

  4. Aleksandrov, V.M., Goryacheva, I.G., Torskaya, E.V.: Sliding contact of a smooth indenter and a viscoelastic half-space (3D problem). Dokl. Phys. 55(2), 77–80 (2010)

    Article  Google Scholar 

  5. Koumi, K.E., Chaise, T., Nelias, D.: Rolling contact of a rigid sphere/sliding of a spherical indenter upon a viscoelastic half-space containing an ellipsoidal inhomogeneity. J. Mech. Phys. Solids 80, 1–25 (2015)

    Article  MathSciNet  Google Scholar 

  6. Kusche, S.: Frictional force between a rotationally symmetric indenter and a viscoelastic half-space. ZAMM J. Appl. Math. Mech. 97(2), 226–239 (2016)

    Article  MathSciNet  Google Scholar 

  7. Stepanov, F.I., Torskaya, E.V.: Modeling of sliding of a smooth indenter over a viscoelastic layer coupled with a rigid base. Mech. Sol. 53(1), 60–67 (2018)

    Article  Google Scholar 

  8. Torskaya, E.V., Stepanov, F.I.: Effect of surface layers in sliding contact of viscoelastic solids (3-D model of material). Front. Mech. Eng. 5, 26 (2019)

    Article  Google Scholar 

  9. Goryacheva, I.G., Stepanov, F.I., Torskaya, E.V.: Sliding of a smooth indentor over a viscoelastic half-space when there is friction. J. Appl. Math. Mec. 79(6), 596–603 (2015)

    Article  MathSciNet  Google Scholar 

  10. Goryacheva, I., Stepanov, F., Torskaya, E.: Effect of friction in sliding contact of a sphere over a viscoelastic half-space. In: Neittaanmäki, P., Repin, S., Tuovinen, T. (eds.) Mathematical Modeling and Optimization of Complex Structures. CMAS, vol. 40, pp. 93–103. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-23564-6_6

    Chapter  Google Scholar 

  11. Goryacheva, I., Miftakhova, A.: Modelling of the viscoelastic layer effect in rolling contact. Wear 430–431, 256–262 (2019)

    Article  Google Scholar 

  12. Nikishin, V.S., Shapiro, G.S.: Space Problems of Elasticity Theory for Multilayered Media. Vych. Tsentr Akad Nauk SSSR, Moscow (1970).in Russian

    Google Scholar 

  13. Alexandrov, V.M., Goryacheva, I.G.: Moving with constant velocity of distributed load over a viscoelastic half-space. In: Proceedings of the 5th Russian conference “Mixed problems of deformable bodies mechanics”, pp. 23–25. Saratov, Russia (2005), in Russian

    Google Scholar 

  14. Morozov, A.V., Petrova, N.N.: Method of evaluating the coefficient of friction of frostresistant sealing rubbers. J. Frict. Wear 37(2), 124–128 (2016)

    Article  Google Scholar 

  15. Goryacheva, I.G., Stepanov, F.I., Torskaya, E.V.: Fatigue wear modeling of elastomers. Phys. Mesomech. 22(1), 65–72 (2019)

    Article  Google Scholar 

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Funding

This research was funded by Russian Science Foundation, grant 18-19-00574.

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Torskaya, E.V., Stepanov, F.I. (2022). Effect of Friction in Sliding Contact of Layered Viscoelastic Solids. In: Indeitsev, D.A., Krivtsov, A.M. (eds) Advanced Problem in Mechanics II. APM 2020. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-92144-6_26

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  • DOI: https://doi.org/10.1007/978-3-030-92144-6_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-92143-9

  • Online ISBN: 978-3-030-92144-6

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