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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-9pp.2951-3007

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E.V. Torskaya, "Contact between a Smooth Indenter and a Multilayer Elastic Half-Space," Mech. Solids. 58 (9), 2951-3007 (2023)
Year 2023 Volume 58 Number 9 Pages 2951-3007
DOI 10.3103/S0025654423602008
Title Contact between a Smooth Indenter and a Multilayer Elastic Half-Space
Author(s) E.V. Torskaya (Ishlinsky Institute for Problems in Mechanics of RAS, Moscow, 119526 Russia, torskaya@mail.ru)
Abstract Numerical and analytical methods are proposed for solving the axisymmetric contact problem and the spatial problem of determining the stress state for bodies with elastic coatings. In both cases, complicated conditions are considered at the interfaces between layers, consisting of the introduction of a linear relationship connecting tangential stresses and displacements. As an example of axisymmetric contact problems, the contact of a sphere, as well as an indenter with a flat base and rounded edges, with a two-layer elastic half-space is studied. It is shown that in the second case there are both circular and annular contact areas. An analysis was carried out of the influence of the degree of adhesion of the coating to the substrate on the distribution of contact pressure and internal stresses. The results of calculating the stress state in a coating with a large number of layers are also presented. An analysis of the influence of friction on stresses in coatings and substrates was carried out, including with input parameters corresponding to the conditions of the experiments.
Keywords contact problem, multilayer half-space, friction
Received 28 August 2023Revised 29 November 2023Accepted 09 December 2023
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