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Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state

Andresen, H.; Fleury, R.M.N.; Moore, M.R.; Hills, D.A.

Authors

H. Andresen

R.M.N. Fleury

D.A. Hills



Abstract

This contribution presents an asymptotic formulation for the stick-slip behaviour of incomplete contacts under oscillatory variation of normal load, moment, shear load and differential bulk tension. The asymptotic description allows us not only to approximate the size of the slip zones during the steady-state of a cyclic problem without knowledge of the geometry or contact law, but provides a solution when all known analytical solutions for incomplete contacts reach their limitations, that is, in the presence of a varying moment and a differential bulk tension large enough to reverse the direction of slip at one end of the contact. An insightful comparison between the mathematically explicit analytical solution and the asymptotic approach is drawn using the example geometry of a shallow wedge.

Citation

Andresen, H., Fleury, R., Moore, M., & Hills, D. (2021). Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state. Journal of the Mechanics and Physics of Solids, 146, Article 104214. https://doi.org/10.1016/j.jmps.2020.104214

Journal Article Type Article
Acceptance Date Oct 30, 2020
Online Publication Date Nov 10, 2020
Publication Date 2021-01
Deposit Date Nov 17, 2021
Publicly Available Date Mar 28, 2024
Journal Journal of the Mechanics and Physics of Solids
Print ISSN 0022-5096
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 146
Article Number 104214
DOI https://doi.org/10.1016/j.jmps.2020.104214
Keywords Contact mechanics; Half-plane theory; Partial slip; Varying normal load; Moment; Shear load; And bulk tension; Asymptotes
Public URL https://hull-repository.worktribe.com/output/3883214
Related Public URLs https://ora.ox.ac.uk/objects/uuid:eb817e94-4dae-4deb-8ecf-a55a8a80d0df

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