Abstract
The three-dimensional contact problem for rolling of a rigid sphere over a base, which consists of viscoelastic layer bonded to a rigid half-space has been considered. The thin viscoelastic layer simulates the action of a friction modifier. The Kelvin model has been used to describe the layer properties. The method of calculating the distribution of normal and shear stresses within the contact interaction area has been presented, the boundaries of traction have been determined, and the slip subareas have been studied. In addition, the influence of the viscoelastic layer properties on the distributions of contact stresses has been analyzed.
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Goryacheva, I.G., Zakharov, S.M., Krasnov, A.P., Yudin, A.S., Torskaya, E.V., Markov, D.P., and Zharov, I.A., Assessing operating conditions and required properties of friction modifiers for running surface of rail-wheel system, J. Frict. Wear, 2013, vol. 34, no. 6, pp. 415–420.
Zakharov, S.M., Goryacheva, I.G., Krasnov, A.P., Yudin, A.S., Morozov, A.V., Markov, D.P., Naumkin, A.V., and Ovechkin, A.V., Tribological studies for developing friction modifiers in the wheel–rail system, J. Frict. Wear, 2015, vol. 36, no. 6, pp. 468–475.
Goryacheva, I.G., Zakharov, S.M., and Torskaya, E.V., The effect of relative slippage and properties of the surface layer on the stress-strain state of elastic bodies in rolling friction, Trenie Iznos, 2003, vol. 24, no. 1, pp. 5–15.
Ishlinskii, Yu.A., Rolling friction, Prikl. Matem. Mekh., 1939, no. 2, pp. 245–260.
Kalker, J., Viscoelastic multilayered cylinders rolling with dry friction, ASME. J. Appl. Mech., 1991, vol. 58, pp. 666–679.
Morozov, A.V. and Makhovskaya, Yu.Yu., Theoretical and experimental evaluation of the deformation component of the friction coefficient, Trenie Iznos, 2007, vol. 28, no. 4, pp. 335–344.
Miftakhova, A.R. and Goryacheva, I.G., Modeling the rolling friction taking into account the intermediate agent properties and the relative slip in a contact interaction area, Mashinostr. Inzh. Obraz., 2016, no. 3, pp. 38–44.
Goryacheva, I.G., The contact problem of rolling a viscoelastic cylinder along a base of the same material, Prikl. Matem. Mekh., 1973, vol. 37, pp. 877–885.
Goryacheva, I.G., Mekhanika friktsionnogo vzaimodeistviya (Mechanics of Friction Interaction), Moscow: Nauka, 2001.
Haines, D.J. and Ollerton, E., Contact stress distributions on elliptical contact surfaces subjected to radial and tangential forces, Pros. Inst. Mech. Eng., 1963, vol. 177, no. 4, pp. 95–114.
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Miftakhova, A.R. Contact Problems for Rolling with Slip for Viscoelastic Solids. J. Frict. Wear 39, 55–61 (2018). https://doi.org/10.3103/S1068366618010105
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DOI: https://doi.org/10.3103/S1068366618010105