Application of Hertzian theory to torus on plane contacts

Josephine Kelley, Kambiz Babaalihaghighi, Norbert Bader, Christian Wege, Florian Pape, Gerhard Poll

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
1 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)2189-2208
JournalProceedings of the Institution of Mechanical Engineers. Part J: Journal of engineering tribology
Issue number11
Early online date4 Feb 2022
Publication statusPublished - Nov 2022
Externally publishedYes


  • n/a OA procedure


Dive into the research topics of 'Application of Hertzian theory to torus on plane contacts'. Together they form a unique fingerprint.

Cite this