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Methods to solve half-plane partial slip contact problems

Hills, D.A.; Ramesh, R.; Barber, J.R.; Moore, M.R.


D.A. Hills

R. Ramesh

J.R. Barber


There exists a family of methods for finding the extent of partial slip in contact problems between elastically similar bodies, capable of idealisation by half-planes. Closed form solutions are given to problems subject to a constant normal load and subsequent application of either an increasing shear force or differential bulk tension parallel with the surface. The starting point may be either a sliding contact (as is customary), or a fully adhered contact. The corrections required to impose a point-wise interpretation of Coulomb’s law of friction may be either in the form of a shear traction distribution or as dislocation arrays. The latter, when applied to the fully adhered contact, has the merit of automatically preserving the locked-in relative surface strains.


Hills, D., Ramesh, R., Barber, J., & Moore, M. (2018). Methods to solve half-plane partial slip contact problems. International Journal of Solids and Structures, 155, 155-159.

Journal Article Type Article
Acceptance Date Jul 23, 2018
Online Publication Date Aug 3, 2018
Publication Date 2018-12
Deposit Date Nov 17, 2021
Publicly Available Date Nov 25, 2021
Journal International Journal of Solids and Structures
Print ISSN 0020-7683
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 155
Pages 155-159
Keywords Incomplete contacts; Partial slip; Dislocations
Public URL
Additional Information This article is maintained by: Elsevier; Article Title: Methods to solve half-plane partial slip contact problems; Journal Title: International Journal of Solids and Structures; CrossRef DOI link to publisher maintained version:; Content Type: article; Copyright: © 2018 Elsevier Ltd.


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