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Surface tension regularizes the crack singularity of adhesion
arΧiv
Soft Matter
12
, 4463–4471 (
2016
)
Authors
Stefan Karpitschka
Leen van Wijngaarden
Jacco Snoeijer
BibTeΧ
@Article{C5SM03079J, author ="Karpitschka, Stefan and van Wijngaarden, Leen and Snoeijer, Jacco H.", title ="Surface tension regularizes the crack singularity of adhesion", journal ="Soft Matter", year ="2016", volume ="12", issue ="19", pages ="4463-4471", publisher ="The Royal Society of Chemistry", doi ="10.1039/C5SM03079J", url ="http://dx.doi.org/10.1039/C5SM03079J", abstract ="The elastic and adhesive properties of a solid surface can be quantified by indenting it with a rigid sphere. Indentation tests are classically described by the JKR-law when the solid is very stiff{,} while recent work highlights the importance of surface tension for exceedingly soft materials. Here we show that surface tension plays a crucial role even in stiff solids: Young{'}s wetting angle emerges as a boundary condition and this regularizes the crack-like singularity at the edge of adhesive contacts. We find that the edge region exhibits a universal{,} self-similar structure that emerges from the balance of surface tension and elasticity. The similarity theory is solved analytically and provides a complete description of adhesive contacts{,} by which we reconcile global adhesion laws and local contact mechanics."}
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