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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Finitesize scaling in the interfacial stiffness of rough elastic contacts
 Physical Review. E 87 (2013), Nr.6, Art. 062809, 9 S. ISSN: 1063651X ISSN: 15393755 
 European Commission EC FP7PEOPLE; 272619; Topography Evolution 

 Englisch 
 Zeitschriftenaufsatz, Elektronische Publikation 
 Fraunhofer IWM () 
 contact mechanics; interfacial stiffness; randomly rough surfaces; scaling theory 
Abstract
The total elastic stiffness of two contacting bodies with a microscopically rough interface has an interfacial contribution K that is entirely attributable to surface roughness. A quantitative understanding of K is important because it can dominate the total mechanical response and because it is proportional to the interfacial contributions to electrical and thermal conductivity in continuum theory. Numerical simulations of the dependence of K on the applied squeezing pressure p are presented for nominally flat elastic solids with a range of surface roughnesses. Over a wide range of p, K rises linearly with p. Sublinear powerlaw scaling is observed at small p, but the simulations reveal that this is a finitesize effect. We derive accurate, analytical expressions for the exponents and prefactors of this lowpressure scaling of K by extending the contact mechanics theory of Persson to systems of finite size. In agreement with our simulations, these expressions show that the onset of the lowpressure scaling regime moves to lower pressure as the system size increases.