Soft beams: when capillarity induces axial compression - Sorbonne Université
Journal Articles Physical Review E Year : 2014

Soft beams: when capillarity induces axial compression

Arnaud Antkowiak
Jean-Jacques Marigo

Abstract

We study the interaction of an elastic beam with a liquid drop in the case where bending and extensional effects are both present. We use a variational approach to derive equilibrium equations and constitutive relation for the beam. This relation is shown to include a term due to surface energy in addition of the classical Young's modulus term, leading to a modification of Hooke's law. At the triple point where solid, liquid, and vapor phases meet we find that the external force applied on the beam is parallel to the liquid-vapor interface. Moreover, in the case where solid-vapor and solid-liquid interface energies do not depend on the extension state of the beam, we show that the extension in the beam is continuous at the triple point and that the wetting angle satisfy the classical Young-Dupré relation.
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Dates and versions

hal-00861106 , version 1 (11-09-2013)
hal-00861106 , version 2 (05-09-2017)

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Cite

Sébastien Neukirch, Arnaud Antkowiak, Jean-Jacques Marigo. Soft beams: when capillarity induces axial compression. Physical Review E , 2014, 89 (1), pp.012401. ⟨10.1103/PhysRevE.89.012401⟩. ⟨hal-00861106v2⟩
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