%0 Journal Article %A Dapp, Wolfgang %A Müser, Martin %T Contact mechanics of and Reynolds flow through saddle points: On the coalescence of contact patches and the leakage rate through near-critical constrictions %J epl %V 109 %N 4 %@ 0295-5075 %C Les Ulis %I EDP Sciences %M FZJ-2015-02409 %P 44001 %D 2015 %X We study numerically local models for the mechanical contact between two solids with rough surfaces. When the solids softly touch either through adhesion or by a small normal load L, contact only forms at isolated patches and fluids can pass through the interface. When the load surpasses a threshold value, $L_{\text{c}}$ , adjacent patches coalesce at a critical constriction, i.e., near points where the interfacial separation between the undeformed surfaces forms a saddle point. This process is continuous without adhesion and the interfacial separation near percolation is fully defined by scaling factors and the sign of $L_{\text{c}}-L$ . The scaling leads to a Reynolds flow resistance which diverges as $(L_{\text{c}}-L)^{-\beta}$ with $\beta = 3.45$ . Contact merging and destruction near saddle points become discontinuous when either short-range adhesion or specific short-range repulsion are added to the hard-wall repulsion. These results imply that coalescence and break-up of contact patches can contribute to Coulomb friction and contact aging. %F PUB:(DE-HGF)16 %9 Journal Article %U <Go to ISI:>//WOS:000351955600018 %R 10.1209/0295-5075/109/44001 %U https://juser.fz-juelich.de/record/189218