On "Extending the Double-Hertz Model to Allow Modeling of an Adhesive Elliptical Contact"
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Authors
Greenwood, JA
Publication Date
2018-09Journal Title
Tribology Letters
ISSN
1573-2711
Publisher
Springer Nature
Volume
66
Number
98
Type
Article
This Version
VoR
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Greenwood, J. (2018). On "Extending the Double-Hertz Model to Allow Modeling of an Adhesive Elliptical Contact". Tribology Letters, 66 (98) https://doi.org/10.1007/s11249-018-1049-3
Abstract
Legendre’s well-known elliptic integrals are not the only version of elliptic integrals. Carlson’s form, developed in the late 1970s, have many advantages, and are particularly well suited for Hertzian contact
analysis. They fit immediately into the basic formulation: they make no distinction between the major and
minor axes of the ellipse (reducing the number of equations needed): and the extension to the study of the
deformation outside the contact area is barely noticeable: nothing like the switch from complete to
incomplete integrals needed when using Legendre’s integrals is required. And finally, their computation is
rapid and straightforward.
In addition, equations as Carlson integrals are given for the displacements due to tangential loading
(Cattaneo-Mindlin theory), and notes given on the elliptic integrals needed in the evaluation of the internal
stresses in a Hertzian contact.
Identifiers
External DOI: https://doi.org/10.1007/s11249-018-1049-3
This record's URL: https://www.repository.cam.ac.uk/handle/1810/285971
Rights
Attribution 4.0 International, Attribution 4.0 International
Licence URL: http://creativecommons.org/licenses/by/4.0/
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