An asymptotic model for a thin bonded elastic layer coated with an elastic membrane

TL;DR

This paper develops an asymptotic model for a thin, bonded elastic layer coated with an elastic membrane, simplifying the complex deformation problem using assumptions about stress conditions and stiffness dominance.

Contribution

It introduces a leading-order asymptotic model for transversely isotropic elastic layers with thin elastic coatings, considering both compressible and incompressible cases.

Findings

Derived simplified asymptotic models for coated elastic layers

Applicable to both compressible and incompressible materials

Provides insights into the deformation behavior of coated elastic systems

Abstract

The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic material is considered. The leading-order asymptotic models (for compressible and incompressible layers) are constructed based on the simplifying assumptions that the generalized plane stress conditions apply to the coating layer, and the flexural stiffness of the coating layer is negligible compared to its tensile stiffness.