Surface tension regularizes the crack singularity of adhesion

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2016
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van Wijngaarden, Leen
Snoeijer, Jacco H.
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Soft Matter. Royal Society of Chemistry (RSC). 2016, 12(19), pp. 4463-4471. ISSN 1744-683X. eISSN 1744-6848. Available under: doi: 10.1039/c5sm03079j
Zusammenfassung

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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ISO 690KARPITSCHKA, Stefan, Leen VAN WIJNGAARDEN, Jacco H. SNOEIJER, 2016. Surface tension regularizes the crack singularity of adhesion. In: Soft Matter. Royal Society of Chemistry (RSC). 2016, 12(19), pp. 4463-4471. ISSN 1744-683X. eISSN 1744-6848. Available under: doi: 10.1039/c5sm03079j
BibTex
@article{Karpitschka2016Surfa-67147,
  year={2016},
  doi={10.1039/c5sm03079j},
  title={Surface tension regularizes the crack singularity of adhesion},
  number={19},
  volume={12},
  issn={1744-683X},
  journal={Soft Matter},
  pages={4463--4471},
  author={Karpitschka, Stefan and van Wijngaarden, Leen and Snoeijer, Jacco H.}
}
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