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On the validity of the method of reduction of dimensionality: Area of contact, average interfacial separation and contact stiffness

: Lyashenko, I.A.; Pastewka, L.; Persson, B.N.J.

Preprint urn:nbn:de:0011-n-2643715 (164 KByte PDF)
MD5 Fingerprint: 6e976dcbc6ab805012d18f00b2f0cb89
Erstellt am: 13.5.2016

Tribology letters 52 (2013), Nr.2, S.223-229
ISSN: 1023-8883
European Commission EC
FP7-PEOPLE; 272619; Topography Evolution
Zeitschriftenaufsatz, Elektronische Publikation
Fraunhofer IWM ()
contact mechanics; contact area; contact stiffness; randomly rough surfaces; method of reduction of dimensionality; elastic contact; mechanics; friction

It has recently been suggested that many contact mechanics problems between solids can be accurately studied by mapping the problem on an effective one-dimensional (1D) elastic foundation model. Using this 1D mapping, we calculate the contact area and the average interfacial separation between elastic solids with nominally flat but randomly rough surfaces. We show, by comparison to exact numerical results, that the 1D mapping method fails even qualitatively. We also calculate the normal interfacial stiffness K and compare it with the result of an analytic study. We attribute the failure of the elastic foundation model to the incorrect treatment of the long-range elastic coupling between the asperity contact regions.