Sébastien Neukirch
Institut Jean le Rond d'Alembert
Centre National de la Recherche Scientifique
Sorbonne Université, Campus Pierre et Marie Curie
Paris, Francetel: +33 1 44 27 72 61
e-mail: sebastien.neukirch (-atat-) upmc.fr
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The bending of an elastic beam by a liquid drop: a variational approach
S. Neukirch, A. Antkowiak, and J.-J. Marigo
Proc. R. Soc. A, vol. 469 #2157 (2013) 20130066
Abstract : We study the interaction of a liquid drop with an elastic beam in the case where bending effects dominate. We use a variational approach to derive equilibrium equations for the system in the presence of gravity and in the presence or absence of contact line pinning. We show that the derived equilibrium equations for the beam subsystem reveal the external forces applied on the beam by the liquid and vapor phases. Among these, the force applied at the triple line (the curve where the three phases meet) is found to lie along the liquid-vapor interface.
Key words : capillarity, one-dimensional elasticity, bifurcation, irreversibility
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