Application of Hertzian theory to torus on plane contacts

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OriginalspracheEnglisch
Seiten (von - bis)2189-2208
Seitenumfang20
FachzeitschriftProceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology
Jahrgang236
Ausgabenummer11
Frühes Online-Datum4 Feb. 2022
PublikationsstatusVeröffentlicht - Nov. 2022

Abstract

Hertzian theory includes a well-known analytical solution for the calculation of the contact area and pressure between two bodies. Hertzian theory is not unconditionally applicable, in particular with regards to the shape of the contacting solids. When geometric assumptions are invalid, the finite element method is generally used, but is more computationally intensive. We propose and analyze a generalization to the geometric assumptions of Hertzian theory and apply it to torus on plane contacts. In order to evaluate the accuracy of the calculation, a finite element model is used as a basis for comparison.

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Application of Hertzian theory to torus on plane contacts. / Kelley, Josephine; Babaalihaghighi, Kambiz; Bader, Norbert et al.
in: Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, Jahrgang 236, Nr. 11, 11.2022, S. 2189-2208.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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keywords = "Contact mechanics, Hertzian theory, general shape contacts, torus on plane contacts",
author = "Josephine Kelley and Kambiz Babaalihaghighi and Norbert Bader and Christian Wege and Florian Pape and Gerhard Poll",
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AU - Kelley, Josephine

AU - Babaalihaghighi, Kambiz

AU - Bader, Norbert

AU - Wege, Christian

AU - Pape, Florian

AU - Poll, Gerhard

N1 - Funding Information: The results presented here were partially carried out on the cluster system at the Leibniz University of Hannover, Germany. The authors are thankful for the support of DFG (German Research Foundation) Grant number 407531729.

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