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

Phys Rev Lett

Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), UMR 7636, CNRS - ESPCI - Universités Paris 6 et 7, 10, rue Vauquelin, 75231 Paris Cedex 05, France.

Published: August 2008

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.

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http://dx.doi.org/10.1103/PhysRevLett.101.074503DOI Listing

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