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F.I. Stepanov and E.V. Torskaya, "Modeling of Sliding of a Smooth Indenter over a Viscoelastic Layer Coupled with a Rigid Base," Mech. Solids. 53 (1), 60-67 (2018)
Year 2018 Volume 53 Number 1 Pages 60-67
DOI 10.3103/S0025654418010077
Title Modeling of Sliding of a Smooth Indenter over a Viscoelastic Layer Coupled with a Rigid Base
Author(s) F.I. Stepanov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia)
E.V. Torskaya (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, torskaya@mail.ru)
Abstract The article deals with constant-speed sliding of a smooth indenter along the boundary of a viscoelastic layer coupled with a rigid half-space. The problem is investigated in a quasistatic statement by constructing a solution for the case of a load sliding, distributed inside of a rectangular element, which allows using the boundary element method and an iterative procedure. The effect of sliding velocity and layer thickness on the contact pressure distribution and the deformation component of the frictional force is studied.
Keywords contact interaction, sliding, viscoelasticity, layer, deformation component of friction force
References
1.  V. M. Aleksandrov and A. V. Mark, "Quasistatic Periodic Contact Problem for a Viscoelastic Layer, a Cylinder, and a Space with a Cylindrical Cavity," Zh. Prikl. Mekh. Tekhn. Fiz. 50 (5), 162-168 (2009) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 50 (5), 866-871 (2009)].
2.  A. V. Mark, "The Uniform Motion of Rectangular and Parabolic Punches in a Viscoelastic Layer," Prikl. Mat. Mekh. 72 (4), 681-688 (2008) [J. Appl. Math. Mech. (Engl. Transl.) 72 (4), 492-498 (2008)].
3.  A. V. Morozov and Yu. Yu. Makhovskaya, "Experimental and Theoretical Evaluation of the Deformation Component of the Coefficient of Friction," Trenie Iznos 28 (4), 335-344 (2007) [J. Frict. Wear (Engl. Transl.) 28 (4), 331-337 (2007)].
4.  I. G. Goryacheva, M. M. Gubenko, and Yu. Yu. Makhovskaya, "Sliding of a Spherical Indenter on a Viscoelastic Foundation with the Forces of Molecular Attraction Taken into Account," Zh. Prikl. Mekh. Tekhn. Fiz. 55 (1), 99-107 (2014) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 55 (1), 81-88 (2014)].
5.  A. N. Lyubicheva, "Analysis of the Mutual Influence of Contact Spots in Sliding of the Periodic System of Asperities on a Viscoelastic Base of the Winkler Type," Trenie Iznos 29 (2), 125-133 (2008) [J. Frict. Wear (Engl. Transl.) 29 (2), 92-98 (2008)].
6.  I. A. Soldatenkov, "Calculation of Friction for Indenter with Fractal Roughness that Slides Against a Viscoelastic Foundation," Trenie Iznos 36 (3), 257-262 (2015) [J. Frict. Wear (Engl. Transl.) 36 (3), 193-196 (2015)].
7.  V. M. Aleksandrov, I. G. Goryacheva, and E. V. Torskaya, "Sliding Contact of a Smooth Indenter and a Viscoelastic Half-Space (3D Problem)," Dokl. Ross. Akad. Nauk 430 (4), 490-493 (2010) [Dokl. Phys. (Engl. Transl.) 55 (2), 77-80 (2010)].
8.  I. G. Goryacheva, F. I. Stepanov, and E. V. Torskaya, "Sliding of a Smooth Indentor over a Viscoelastic Half-Space when There is Friction," Prikl. Mat. Mekh. 79 (6), 853-863 (2015) [J. Appl. Math. Mech. (Engl. Transl.) 79 (6), 596-603 (2015)].
9.  I. G. Goryacheva, F. I. Stepanov, and E. V. Torskaya, "Effect of Friction in Sliding Contact of a Sphere over a Viscoelastic Half-Space," in Mathematical Modeling and Optimization of Complex Structures (Springer, Berlin, 2016), pp. 93-104.
10.  K. E. Koumi, T. Chaise, and D. Nelias, "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).
11.  F. I. Stepanov and E. V. Torskaya, "Study of Stress State of Viscoelastic Half-Space in Sliding Contact with Smooth Indenter," Trenie Iznos 37 (2), 133-138 (2016) [J. Frict. Wear (Engl. Transl.) 37 (2), 101-106 (2016)].
12.  V. M. Aleksandrov and I. G. Goryacheva, "Motion with a constant rate of distributed load along a viscoelastic half-space," in Mixed Problems of Mechanics of Solid. Proceedings of V Russian Conf. with Intern. Participation, Ed. by Acad. N. F. Morozov (Izd. Saratov Univ., Saratov, 2005), pp. 23-25 [in Russian].
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14.  I. G. Goryacheva and M. N. Dobychin, Contact Problems in Tribology (Mashinostroenie, Moscow, 1988) [in Russian].
Received 17 August 2016
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