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

Ivan Argatov; Gennady Mishuris

doi:10.1016/j.apm.2015.09.109

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

Ivan Argatov, Gennady Mishuris

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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.

Original language	English
Pages (from-to)	2541-2548
Number of pages	8
Journal	Applied Mathematical Modelling
Volume	40
Issue number	4
Early online date	19 Oct 2015
DOIs	https://doi.org/10.1016/j.apm.2015.09.109
Publication status	Published - 15 Feb 2016

Keywords

deformation problem
thin layer
elastic coating
transversely isotropic
asymptotic solution

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An asymptotic model for a thin bonded elastic layer coated with an elastic membraneAccepted author manuscript, 569 KB

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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.",

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AU - Mishuris, Gennady

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PY - 2016/2/15

Y1 - 2016/2/15

N2 - 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.

AB - 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.

KW - deformation problem

KW - thin layer

KW - elastic coating

KW - transversely isotropic

KW - asymptotic solution

UR - http://hdl.handle.net/2160/36385

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DO - 10.1016/j.apm.2015.09.109

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SP - 2541

EP - 2548

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 4

ER -

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

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