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Séminaire MSC
"Matière et Systèmes Complexes"

                      

Lundi 15 juin 2009 à 11h30
Bâtiment Condorcet, 4ème étage, salle 454 A.

Anke Lindner
(PMMH-ESPCI)


Some « visco-elastic» problems

 

We will in this seminar treat two systems that deal with the interplay between viscosity and elasticity.
We first present pattern formation during tensile deformation of confined visco-elastic layers. The use of a model system (PDMS with different degrees of crosslinking) 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 only scales 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 to predict the observed patterns over the whole range of visco-elastic properties.

We then present the interaction of a flexible elastic fiber with a viscous flow. When the viscous forces acting on the fiber overcome the elastic forces a buckling instability occurs. The subsequent deformation of the elastic fibre then modifies the transport of the latter through a viscous flow. We study this behavior in a cellular flow.