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Contact Mechanics of Articular Cartilage Layers pp 261–291Cite as

Contact of Thin Inhomogeneous Transversely Isotropic Elastic Layers

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 50))

Abstract

In this chapter we consider contact problems for thin bonded inhomogeneous transversely isotropic elastic layers. In particular, in Sects. 8.1 and 8.2, the deformation problems are studied for the cases of elastic layers with the out-of-plane and thickness-variable inhomogeneous properties, respectively. In Sect. 8.3, the axisymmetric frictionless contact problems for thin incompressible inhomogeneous elastic layers are studied in detail in the framework of the leading-order asymptotic model. Finally, 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 analyzed in Sect. 8.4.

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Authors and Affiliations

  1. Department of Mathematics, Aberystwyth University, Aberystwyth, Ceredigion, SY23 3BZ, UK

    Ivan Argatov & Gennady Mishuris

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  1. Ivan Argatov
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  2. Gennady Mishuris
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Correspondence to Ivan Argatov .

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Argatov, I., Mishuris, G. (2015). Contact of Thin Inhomogeneous Transversely Isotropic Elastic Layers. In: Contact Mechanics of Articular Cartilage Layers. Advanced Structured Materials, vol 50. Springer, Cham. https://doi.org/10.1007/978-3-319-20083-5_8

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  • DOI: https://doi.org/10.1007/978-3-319-20083-5_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20082-8

  • Online ISBN: 978-3-319-20083-5

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