Dynamical aspects of the unilateral contact between a fluid and a structure

The unilateral contact between a structure and a fluid is difficult to modelize for several reasons: first of all the wet surface of the structure is an unknown; secondly the coupling with the movements of the structure can be very complex and finally the interaction with the waves (even if the eigenfrequencies of the structure and the one of the fluids are very different) can be at the origin of very stiff solutions. This notes aims at giving a simple mathematical model based on two penalty-integration methods which enables one to reproduce the extreme cases where the energy release rate is 0 or 1. It is proved that this model is well posed and an asymptotic analysis versus the penalty parameter is carried out. (C) 2010 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.