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Abstract
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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
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Mathematical Subject Classification
Primary: 74G10, 74M15, 76D08
Secondary: 74K35, 74M10
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Milestones
Received: 18 February 2021
Revised: 7 March 2021
Accepted: 7 April 2021
Published: 31 May 2021
Communicated by Victor A. Eremeyev
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