Analysing the accuracy of asymptotic approximations in incomplete contact problems

Moore, Matthew; Hills, David

Abstract

The error incurred in the representation of the contact pressure at the edges of incomplete contacts by first order asymptotes is treated, and the maximum value of the relative error found for a range of geometries, both symmetric and non-symmetric. For a symmetric power-law geometry, we identify when the first-order asymptote achieves maximum fidelity. Shear tractions are excited by both the application of a shear force and the application of bulk tension in one body. An asymptotic representation of the shear traction distribution under conditions of full stick is presented.

Citation

Moore, M., & Hills, D. (2022). Analysing the accuracy of asymptotic approximations in incomplete contact problems. International Journal of Solids and Structures, 253, Article 111557. https://doi.org/10.1016/j.ijsolstr.2022.111557

• Journal Article Type: Article
• Acceptance Date: Mar 7, 2022
• Online Publication Date: Mar 25, 2022
• Publication Date: Oct 15, 2022
• Deposit Date: Mar 25, 2022
• Publicly Available Date: Mar 26, 2023
• Journal: International Journal of Solids and Structures
• Print ISSN: 0020-7683
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 253
• Article Number: 111557
• DOI: https://doi.org/10.1016/j.ijsolstr.2022.111557
• Keywords: Asymptotes; Incomplete contacts; Fretting fatigue
• Public URL: https://hull-repository.worktribe.com/output/3954415