Digitation élastique en volume dans les solides mous et les matériaux viscoélastiques

Baudouin Saintyves 1
1 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
Abstract : Systematic experiments have been performed in purely elastic polyacrylamide gels in Hele-Shaw cells. We have shown that a bulk fingering instability arises in the highly deformable confined elastomers. It shares some similarities with the famous Sa↵man-Taylor instability. In particular, the total adhesion of the elastomer to the glass plates implies a non-gliding condition, crucial for the formation of fingers. However, adhesion does not enter the total energy balance, which is shown by the independence of the instability onset from the shear modulus. A systematic study also shows that surface tension is not relevant either. This instability is sub-critical, with a clear hysteretic behavior. Our experimental observations have been compared very favorably to theoretical and finite element simulations results. In particular, the instability wavelength and the critical front advance have been shown to be proportional to the distance between the two glass plates constituting the cell. We have also shown that in Maxwell viscoelastic fluids, one crosses over continuously from a viscous to an elastic fingering instability. These experiments open interesting perspectives in morphogenesis.
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Baudouin Saintyves. Digitation élastique en volume dans les solides mous et les matériaux viscoélastiques. Matière Molle [cond-mat.soft]. Universit´e Pierre et Marie Curie, 2013. Français. ⟨tel-01272002⟩

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