Serati, M.Williams, D.J.Erarslan, N.2025-01-062025-01-062016978-113803265-110.1201/9781315388502-712-s2.0-85061002981https://doi.org/10.1201/9781315388502-71https://hdl.handle.net/20.500.14669/1408ISRM International Symposium - EUROCK 2016 -- 29 August 2016 through 31 August 2016 -- Urgup -- 144475This paper attempts to provide a theoretical framework for the determination of the stress state induced in a hollow cylinder (ring) under Hertzian compressions on its outer boundary. The solution is obtained using Airy stress functions, Michell-Fourier series expansions and Fourier-Bessel series expressions in polar coordinates. Parametric studies are also performed to investigate the influence of the loading angle and the geometrical aspect ratio of the ring on the induced stress tensor. © 2016 Taylor & Francis Group, London, ISBN 978-1-138-03265-1eninfo:eu-repo/semantics/closedAccessAspect ratioCircular cylindersStress analysisAiry stress functionFourier-Bessel seriesFourier-series expansionGeometrical aspectsHertzian contactsParametric studyPolar coordinateTheoretical frameworkFourier seriesConference Object419415