Abstract
The contact problem of constant velocity sliding of the doubly periodic wavy surface of a rigid indentor along a viscoelastic layer on a rigid foundation is considered with the adhesive attraction between the surfaces taken into account. A method is proposed for calculating the configuration of the contact regions and adhesive interaction regions, the pressure distribution on the contact surface, and the deformation component of the friction force for various values of the viscosity, adhesion, velocity, and microgeometry parameters of the surface. We study how these parameters affect the merging of contact spots and the transition from discrete to saturated contact as the external load increases.
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References
I. G. Goryacheva, Mechanics of Contact Interactions (Nauka, Moscow, 2001) [in Russian].
I. G. Goryacheva and F. Sadeghi, “Contact Characteristics of Rolling/Sliding Cylinder and a Viscoelastic Layer Bonded to an Elastic Substrate,” Wear 184, 125–132 (1995).
I. G. Goryacheva and Yu. Yu. Makhovskaya, “Influence of the Surface Layer Elasticity Imperfections on Contact Characteristics in Sliding of Rough Elastic Bodies,” Trenie Iznos 18 (1), 5–12 (1997).
M. A. Nozdrin, Yu. Yu Makhovskaya„ and B. V. Sheptunov, “Computation of the Friction Force Strain Component in Sliding of a Body on a Viscoelastic Foundation,” Vestnik IGEU, No. 3, 48–50 (2009).
B. V. Sheptunov, I. G. Goryacheva, and M. A. Nozdrin, “Contact Problem of Motion of an Indentor with Regular Relief on a Viscoelastic Foundation,” Trenie Iznos 34 (2), 109–119 (2013).
B. V. Deryagin, N. V. Churaev, and V. M. Muller, Surface Forces (Nauka, Moscow, 1985) [in Russian].
Yu. Yu. Makhovskaya, “The Sliding of Viscoelastic Bodies when There is Adhesion,” Prikl. Mat. Mekh. 69 (2), 334–344 (2005) [J. Appl. Math. Mech. 69 (2), 305–314 (2005)].
I. G. Goryacheva and Yu. Yu. Makhovskaya, “Modeling of Friction at Various Scale Levels,” Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 100–110 (2010) [Mech. Solids (Engl. Transl.) 45 (3), 390–398 (2010)].
D. Maugis, Contact Adhesion and Rupture of Elastic Solids (Springer, Berlin, 2000).
J. J. Kalker, Three-Dimensional Elastic Bodies in Rolling Contact, in Solid Mechanics and Its Applications (Kluwer Academic Publishers, 1990).
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Original Russian Text © I.G. Goryacheva, Yu.Yu. Makhovskaya, 2015, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2015, No. 4, pp. 90–103.
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Goryacheva, I.G., Makhovskaya, Y.Y. Sliding of a wavy indentor on a viscoelastic layer surface in the case of adhesion. Mech. Solids 50, 439–450 (2015). https://doi.org/10.3103/S002565441504010X
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DOI: https://doi.org/10.3103/S002565441504010X