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I.A. Soldatenkov, "Analytical Solution of the Contact Problem for a System of Bodies under Collective Wear," Mech. Solids. 52 (1), 52-61 (2017)
Year 2017 Volume 52 Number 1 Pages 52-61
DOI 10.3103/S0025654417010071
Title Analytical Solution of the Contact Problem for a System of Bodies under Collective Wear
Author(s) I.A. Soldatenkov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, iasoldat@gmail.com)
Abstract The contact problem is considered for a system of bodies subject to wear on a common base. The deformation properties of the bodies and the base are described by the Winkler model. The problem is reduced to a system of ordinary differential equations and an integral equation of hereditary type with difference kernel. The solution of the problem is constructed with the use of the Laplace transform. The asymptotics of the solution at large times is studied. The continuity conditions for the contact of each of the bodies with the base are derived.
Keywords contact problem, wear, analytical solution, Laplace transform, asymptotic behavior
References
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3.  I. A. Soldatenkov, "The Periodic Contact Problem of the Plane Theory of Elasticity. Taking Friction, Wear and Adhesion into Account," Prikl. Mat. Mekh. 77 (2), 337-351 (2013) [J. Appl. Math. Mech. (Engl. Transl.) 77 (2), 245-255 (2013)].
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13.  I. A. Soldatenkov, Wear-Contact Problem with Applications in Engineering Wear Calculations (Fizmatkniga, Moscow, 2010) [in Russian].
Received 02 September 2015
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