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A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2020-8pp.1308-1317

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Stepanov F.I. and Torskaya E.V., "3D Contact Problem with Adhesion for Two-Layered Elastic Half-Space," Mech. Solids. 55 (8), 1308-1317 (2020)
Year 2020 Volume 55 Number 8 Pages 1308-1317
DOI 10.3103/S0025654420080312
Title 3D Contact Problem with Adhesion for Two-Layered Elastic Half-Space
Author(s) Stepanov F.I. (Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, stepanov_ipm@mail.ru)
Torskaya E.V. (Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, torskaya@mail.ru)
Abstract A numerical-analytical method is proposed for calculating contact pressures and internal stresses arising in a two-layered elastic half-space when a smooth indenter of arbitrary shape is pressed in, considering the adhesion forces. The Maugis–Dugdale model of adhesive interaction is used in formulation of the problem. The influence of the coating thickness and the presence of adhesive attraction on the indenter penetration, as well as on the internal stresses inside the coating and the substrate, are analyzed. Simulation results can be used to solve the inverse problem of determining the elastic modulus of the coating from the indentation results considering the adhesion and deformation of the substrate.
Keywords contact problem, adhesion, two-layered half-space, boundary element method
Received 19 November 2019Revised 14 January 2020Accepted 17 January 2020
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