Small vibrations of a linearly elastic body surrounded by heavy, incompressible, non-Newtonian fluids with free surfaces

Christian Licht (1) , Tt Ha

1 LMGC - Laboratoire de Mécanique et Génie Civil

We consider the small transient motions of a coupled system constituted by a linearly elastic body and two heavy, incompressible, non-Newtonian fluids.Through a formulation in terms of non-linear evolution equations in Hilbert spaces of possible states with finite mechanical energy, we obtain existence and uniqueness results and study the influence of gravity. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.

Mots clés: continuum Mechanics; fluid-structure interactions; non-linear semi-groups

Domaines: Matériaux et structures en mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Christian Licht, Tt Ha. Small vibrations of a linearly elastic body surrounded by heavy, incompressible, non-Newtonian fluids with free surfaces. Comptes Rendus Mécanique, 2005, 333, pp.117-122. ⟨10.1016/j.crme.2004.09.011⟩. ⟨hal-00574991⟩