This title appears in the Scientific Report :
2015
Please use the identifier:
http://hdl.handle.net/2128/22869 in citations.
Please use the identifier: http://dx.doi.org/10.1209/0295-5075/109/44001 in citations.
Contact mechanics of and Reynolds flow through saddle points: On the coalescence of contact patches and the leakage rate through near-critical constrictions
Contact mechanics of and Reynolds flow through saddle points: On the coalescence of contact patches and the leakage rate through near-critical constrictions
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...
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Personal Name(s): | Dapp, Wolfgang (Corresponding Author) |
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Müser, Martin (Corresponding Author) | |
Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: | epl, 109 (2015) 4, S. 44001 |
Imprint: |
Les Ulis
EDP Sciences
2015
|
DOI: |
10.1209/0295-5075/109/44001 |
Document Type: |
Journal Article |
Research Program: |
Computational Science and Mathematical Methods |
Link: |
Restricted OpenAccess Restricted OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1209/0295-5075/109/44001 in citations.
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. |