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2015 | OriginalPaper | Buchkapitel

1. Deformation of a Thin Bonded Transversely Isotropic Elastic Layer

verfasst von : Ivan Argatov, Gennady Mishuris

Erschienen in: Contact Mechanics of Articular Cartilage Layers

Verlag: Springer International Publishing

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Abstract

In this chapter we study frictionless contact problems for a thin transversely isotropic elastic layer bonded to a rigid substrate and indented by a smooth absolutely rigid punch under the assumption that the layer thickness is relatively small compared to the characteristic size of the contact area. We apply a perturbation technique to obtain asymptotic solutions of different degrees of accuracy and formulate simple mathematical models (called asymptotic models) to describe the deformational behavior of a bonded compressible elastic layer in the thin-layer approximation. In particular, the effects of unilateral contact interaction (with a priori unknown contact area) and the tangential displacements at the contact interface (taken into account in formulating the contact condition) are considered. It is shown that the case of an incompressible layer requires special consideration.

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Metadaten
Titel
Deformation of a Thin Bonded Transversely Isotropic Elastic Layer
verfasst von
Ivan Argatov
Gennady Mishuris
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-20083-5_1

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