Application of Hertzian theory to torus on plane contacts

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

doi:10.1177/13506501221074805

Application of Hertzian theory to torus on plane contacts

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

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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.

Original language	English
Pages (from-to)	2189-2208
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
DOIs	https://doi.org/10.1177/13506501221074805
Publication status	Published - Nov 2022
Externally published	Yes

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10.1177/13506501221074805

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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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AU - Kelley, Josephine

AU - Babaalihaghighi, Kambiz

AU - Bader, Norbert

AU - Wege, Christian

AU - Pape, Florian

AU - Poll, Gerhard

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 - n/a OA procedure

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 -

Application of Hertzian theory to torus on plane contacts

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