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@ARTICLE{Dapp:189218,
      author       = {Dapp, Wolfgang and Müser, Martin},
      title        = {{C}ontact mechanics of and {R}eynolds flow through saddle
                      points: {O}n the coalescence of contact patches and the
                      leakage rate through near-critical constrictions},
      journal      = {epl},
      volume       = {109},
      number       = {4},
      issn         = {0295-5075},
      address      = {Les Ulis},
      publisher    = {EDP Sciences},
      reportid     = {FZJ-2015-02409},
      pages        = {44001},
      year         = {2015},
      abstract     = {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.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000351955600018},
      doi          = {10.1209/0295-5075/109/44001},
      url          = {https://juser.fz-juelich.de/record/189218},
}