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Tribology Letters
Erschienen in: Tribology Letters 1/2013

01.01.2013 | Original Paper

Analytical and Numerical Models for Tangential Stiffness of Rough Elastic Contacts

verfasst von: S. Medina, D. Nowell, D. Dini

Erschienen in: Tribology Letters | Ausgabe 1/2013

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Abstract

The paper considers elastic contact of rough surfaces and develops a simple analytical expression for the stiffness of the contact under tangential loading, which predicts that the contact stiffness is proportional to normal load and independent of Young’s Modulus. The predictions of this model are compared to a full numerical analysis of a rough elastic contact of finite size. The two approaches are found to be in good agreement at low loads, when the asperity spacing is large, but the numerical approach predicts much lower stiffnesses at medium and high loads. It is shown that the overall stiffness cannot exceed that of the equivalent smooth contact, and a simple means of modifying the analytical approach is proposed and validated.
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Fußnoten
1
The fact that the theorem provides results for Poisson’s ratio equal to zero implies that the tangential and normal stiffness computed using this technique are identical (see Eq. (30)). We have implemented the tangential stiffness calculations to perform explicit comparisons between the analytical and the numerical results.
 
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Metadaten
Titel
Analytical and Numerical Models for Tangential Stiffness of Rough Elastic Contacts
verfasst von
S. Medina
D. Nowell
D. Dini
Publikationsdatum
01.01.2013
Verlag
Springer US
Erschienen in
Tribology Letters / Ausgabe 1/2013
Print ISSN: 1023-8883
Elektronische ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-012-0049-y

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