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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
Mark, A.V.: The uniform motion of rectangular and parabolic punches in a viscoelastic layer. J. Appl. Math. Mec. 72(4), 492–498 (2008)
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)
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)
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)
Kusche, S.: Frictional force between a rotationally symmetric indenter and a viscoelastic half-space. ZAMM J. Appl. Math. Mech. 97(2), 226–239 (2016)
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)
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)
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)
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
Goryacheva, I., Miftakhova, A.: Modelling of the viscoelastic layer effect in rolling contact. Wear 430–431, 256–262 (2019)
Nikishin, V.S., Shapiro, G.S.: Space Problems of Elasticity Theory for Multilayered Media. Vych. Tsentr Akad Nauk SSSR, Moscow (1970).in Russian
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
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)
Goryacheva, I.G., Stepanov, F.I., Torskaya, E.V.: Fatigue wear modeling of elastomers. Phys. Mesomech. 22(1), 65–72 (2019)
Funding
This research was funded by Russian Science Foundation, grant 18-19-00574.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-92144-6_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-92143-9
Online ISBN: 978-3-030-92144-6
eBook Packages: EngineeringEngineering (R0)