Representation of incomplete contact problems by half-planes

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

Abstract

for finding the optimal choices of the applied remote loads – the applied normal force, moment, shear force and remote bulk stresses – needed to solve frictional contact problems in partial-slip using half-plane theory are derived by using data from contacts analysed by the finite element method. While the normal and shear forces and moment are readily found from equilibrium considerations, in order to determine the bulk stresses we must exploit details of the traction ratio and the direct strain within the contact, both of which are readily extracted from simulations. These contact loads enable the formulation of an equivalent half-plane problem for the contact, which can be used to determine much more precise estimates of the slip-zone sizes than are obtainable from direct use of frictional finite element analysis, as aggregated data from the finite element output is employed, and the half-plane analysis will add precision in terms of satisfaction of the laws of frictional slip and stick.

Citation

Andresen, H., Hills, D., & Moore, M. (2021). Representation of incomplete contact problems by half-planes. European Journal of Mechanics - A/Solids, 85, Article 104138. https://doi.org/10.1016/j.euromechsol.2020.104138

• Journal Article Type: Article
• Acceptance Date: Sep 27, 2020
• Online Publication Date: Oct 12, 2020
• Publication Date: 2021-01
• Deposit Date: Nov 17, 2021
• Publicly Available Date: Nov 18, 2021
• Journal: European Journal of Mechanics - A/Solids
• Print ISSN: 0997-7538
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 85
• Article Number: 104138
• DOI: https://doi.org/10.1016/j.euromechsol.2020.104138
• Keywords: Contact mechanics; Half-plane theory; Incomplete contacts; Prototype analysis; Partial slip
• Public URL: https://hull-repository.worktribe.com/output/3883192
• Related Public URLs: https://ora.ox.ac.uk/objects/uuid:de1fa3db-def5-40c6-b1a1-f4398137a62e