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On the DMT theory

Greenwood, JA (2007) On the DMT theory. Tribology Letters, 26. pp. 203-211. ISSN 1023-8883

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Abstract

The frequent claim that the Tabor parameter μ governs the transition from the DMT theory to the JKR theory is investigated. The change from the simple surface force law σ A/h 3 of the DMT theory to the Lennard-Jones law σ A/h 3-B/h 9 of the MDT theory and the numerical solutions is noted, and the 'adhesive force' is evaluated for both laws. Except in the limit of zero Tabor parameter, when the Derjaguin theories reduce to the rigid-sphere model, the predictions are consistently worse than assuming the sphere to be rigid. A 'semi-rigid' sphere model is proposed, which correctly describes the asymptotic behaviour as μ → 0, but leaves a considerable gap before the JKR theory can be applied. © Springer Science+Business Media, LLC 2007.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div D > Geotechnical and Environmental
Depositing User: Unnamed user with email sms67@cam.ac.uk
Date Deposited: 18 Jun 2020 03:42
Last Modified: 22 Oct 2020 04:09
DOI: 10.1007/s11249-006-9184-7