Details
| Original language | English |
|---|---|
| Pages (from-to) | 2189-2208 |
| Number of pages | 20 |
| Journal | Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology |
| Volume | 236 |
| Issue number | 11 |
| Early online date | 4 Feb 2022 |
| Publication status | Published - 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.
Keywords
- Contact mechanics, Hertzian theory, general shape contacts, torus on plane contacts
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Surfaces and Interfaces
- Materials Science(all)
- Surfaces, Coatings and Films
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In: Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, Vol. 236, No. 11, 11.2022, p. 2189-2208.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Application of Hertzian theory to torus on plane contacts
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.
PY - 2022/11
Y1 - 2022/11
N2 - 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.
AB - 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.
KW - Contact mechanics
KW - Hertzian theory
KW - general shape contacts
KW - torus on plane contacts
UR - http://www.scopus.com/inward/record.url?scp=85124282109&partnerID=8YFLogxK
U2 - 10.1177/13506501221074805
DO - 10.1177/13506501221074805
M3 - Article
VL - 236
SP - 2189
EP - 2208
JO - Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology
JF - Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology
SN - 1350-6501
IS - 11
ER -