Cusp-Shaped Elastic Creases and Furrows

S. Karpitschka, J. Eggers, A. Pandey, J. H. Snoeijer

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


The surfaces of growing biological tissues, swelling gels, and compressed rubbers do not remain smooth, but frequently exhibit highly localized inward folds. We reveal the morphology of this surface folding in a novel experimental setup, which permits us to deform the surface of a soft gel in a controlled fashion. The interface first forms a sharp furrow, whose tip size decreases rapidly with deformation. Above a critical deformation, the furrow bifurcates to an inward folded crease of vanishing tip size. We show experimentally and numerically that both creases and furrows exhibit a universal cusp shape, whose width scales like y3/2 at a distance y from the tip. We provide a similarity theory that captures the singular profiles before and after the self-folding bifurcation, and derive the length of the fold from finite deformation elasticity.

Original languageEnglish (US)
Article number198001
JournalPhysical Review Letters
Issue number19
StatePublished - Nov 7 2017
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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