Stabilité et dynamique des interactions élastocapillaires

Abstract : This thesis deals with elasto-capillary interactions. Although capillary force is negligible at large scales, it becomes preponderant at small scales, at the point that it may cause deformations on an elastic solid. In particular, surface tension may be responsible for the bending of a slender structure (like a rod or a strip) or a thin membrane. This kind of interactions have been almost considered in static or quasi-static setups. Here we show one of the first investigations about dynamics of elasto-capillary interactions. We first consider the problem of a drop falling on a thin and soft membrane. Experimentally, we show that dynamics allows for a very rapid wrapping of the membrane around the drop, giving rise to a final 3D stable shape. Moreover, we show that in some cases the final configuration of the system can be selected just by tuning the impact velocity. We introduce a 2D setup and we explain, using two different approaches, how this problem can be described. In the second part, we focus on the bending of a cantilever beam induced by the contact with a liquid meniscus, a problem in which elasticity, capillarity and hydrostatic pressure interact. We describe the shape of this system at equilibrium, and we display how to predict the appearance of instability. This problem exhibits a strong analogy with the buckling of a beam floating on a liquid. We discuss how far this analogy can be pushed and show that it is possible to generalize the analytic solution for a symmetric buckled profile to not symmetric profiles.
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Submitted on : Monday, October 22, 2012 - 4:24:40 PM
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Marco Rivetti. Stabilité et dynamique des interactions élastocapillaires. Mécanique des fluides [physics.class-ph]. Université Pierre et Marie Curie - Paris VI, 2012. Français. ⟨tel-00744272⟩

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