Vol. 9, No. 2, 2021
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Characterization of the behavior of different contacts with double coating

Ilya I. Kudish, Sergei S. Volkov, Andrey S. Vasiliev and Sergei M. Aizikovich

Vol. 9 (2021), No. 2, 179–202
DOI: 10.2140/memocs.2021.9.179
Abstract

This paper considers theoretically the behavior of different packets of elastic double coating on an elastic half-plane. The asymptotic expressions for the kernels of the derivatives of the normal and tangential displacements of the upper surface of the external coating are obtained and represent very complex functions of multiple elastic and geometric parameters of the coatings and substrate. Simple relationships between the substrate and coating elastic properties and thicknesses as well as acting normal and tangential stresses in various limiting cases are established, and parametric regions of their validity are determined.

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Keywords
two-layered thin elastic coating, elastic substrate, normal and tangential stresses, asymptotic analysis, limiting cases
Mathematical Subject Classification
Primary: 74G10, 74M15, 76D08
Secondary: 74K35, 74M10
Milestones
Received: 18 February 2021
Revised: 7 March 2021
Accepted: 7 April 2021
Published: 31 May 2021

Communicated by Victor A. Eremeyev
Authors
Ilya I. Kudish
ILRIMA Consulting, LLC
Millersburg, MI
United States
Sergei S. Volkov
Laboratory of Functionally Graded and Composite Materials
Research and Education Center “Materials”
Don State Technical University
Rostov-on-Don
Russia
Andrey S. Vasiliev
Laboratory of Functionally Graded and Composite Materials
Research and Education Center “Materials”
Don State Technical University
Rostov-on-Don
Russia
Sergei M. Aizikovich
Laboratory of Functionally Graded and Composite Materials
Research and Education Center “Materials”
Don State Technical University
Rostov-on-Don
Russia