Pattern formation during deformation of a confined viscoelastic layer: from a viscous liquid to a soft elastic solid

Phys Rev Lett. 2008 Aug 15;101(7):074503. doi: 10.1103/PhysRevLett.101.074503. Epub 2008 Aug 14.

Abstract

We study pattern formation during tensile deformation of confined viscoelastic layers. The use of a model system [poly(dimethylsiloxane) with different degrees of cross-linking] allows us to go continuously from a viscous liquid to an elastic solid. We observe two distinct regimes of fingering instabilities: a regime called "elastic" with interfacial crack propagation, where the fingering wavelength scales only with the film thickness, and a bulk regime called "viscoelastic," where the fingering instability shows a Saffman-Taylor-like behavior. We find good quantitative agreement with theory in both cases and present a reduced parameter describing the transition between the two regimes and allowing us to predict the observed patterns over the whole range of viscoelastic properties.