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IssuesArchive of Issues2025-3pp.1578-1594

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A.A. Bobylev, "On Regularities of Contact Interaction of Surfaces with Regular Microrelief (Plane Problem)," Mech. Solids. 60 (3), 1578-1594 (2025)
Year 2025 Volume 60 Number 3 Pages 1578-1594
DOI 10.1134/S0025654424606451
Title On Regularities of Contact Interaction of Surfaces with Regular Microrelief (Plane Problem)
Author(s) A.A. Bobylev (Lomonosov Moscow State University, Moscow, 119991 Russia, abobylov@gmail.com)
Abstract We consider plane contact problems with a limited contact area for elastic bodies with a regular microrelief (RMR) applied to their surfaces. It is assumed that Flamant’s solution to the problem of the action of a concentrated normal force on the boundary of an elastic half-plane can be used to determine the stress-strain state of bodies. When modeling the contact interaction, a calculation scheme was used in which one of the bodies is considered as a rigid punch, and the second is considered as an elastic half-plane with a composite modulus of elasticity. The single-parameter families of punches with RMR are considered, the parameter of which is the number of microprotrusions. The regularities of contact interaction of punches with RMR and elastic half-plane were investigated by the method of computational experiment. Based on the established patterns, a method for approximate calculation of load distribution between RMR elements, as well as assessment of contact pressure, sizes of actual contact areas and average final gaps on microprotrusions is proposed.
Keywords problem of unilaretal discrete contact, surface with regular microrelief
Received 14 November 2024Revised 21 December 2024Accepted 28 December 2024
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