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The JKR-type adhesive contact problems for transversely isotropic elastic solids

Borodich, Feodor M., Galanov, Boris A., Keer, Leon M. and Suarez-Alvarez, Maria M. 2014. The JKR-type adhesive contact problems for transversely isotropic elastic solids. Mechanics of Materials 75 , pp. 34-44. 10.1016/j.mechmat.2014.03.011

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Abstract

The JKR (Johnson, Kendall, and Roberts) and Boussinesq–Kendall models describe adhesive frictionless contact between two isotropic elastic spheres or between a flat end punch and an elastic isotropic half-space. Here adhesive contact is studied for transversely isotropic materials in the framework of the JKR theory. The theory is extended to much more general shapes of contacting axisymmetric solids, namely the distance between the solids is described by a monomial (power-law) function of an arbitrary degree d⩾1d⩾1. The classic JKR and Boussinesq–Kendall models can be considered as two particular cases of these problems, when the degree of the punch d is equal to two or it goes to infinity, respectively. It is shown that the formulae for extended JKR contact model for transversely isotropic materials have the same mathematical form as the corresponding formulae for isotropic materials; however the effective elastic contact moduli have different expression for different materials. The dimensionless relations between the actual force, displacements and contact radius are given in explicit form. Connections of the problems to nanoindentation of transversely isotropic materials are discussed.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords: JKR theory; Adhesive contact; No-slip; Power-law punches; Transversely isotropic solids
Additional Information: Pdf uploaded in accordance with the publisher’s policy at http://www.sherpa.ac.uk/romeo/issn/0167-6636/(accessed 23/07/2014)
Publisher: Elsevier
ISSN: 0167-6636
Date of First Compliant Deposit: 30 March 2016
Last Modified: 27 Jun 2019 13:19
URI: http://orca-mwe.cf.ac.uk/id/eprint/59467

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