Nonlinear waves on the surface of a fluid covered by a viscoelastic sheet
- đ¤ Speaker: Pavel Plotnikov (Lavrentyev Institute of Hydrodynamics)
- đ Date & Time: Thursday 29 September 2022, 09:15 - 09:45
- đ Venue: Seminar Room 1, Newton Institute
Abstract
We study nonlinear waves on the surface of a fluid covered by a viscoelastic sheet where both tension and flexural waves take place. It is assumed that the behavior of the elastic sheet is described by the Antman theory of hyperelastic Cosserat shells. Within the framework of this theory, the total energy of the shell is represented as the sum of the stored elastic energy and the dissipative function. We give a derivation of the system of evolutionary equations for the motion of a free boundary. The main attention is paid to the analysis of the structure of the dissipative function and to the derivation of the energy dissipation law. We also consider the viscoelastic covers satisfying the Voight constitutive law.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Pavel Plotnikov (Lavrentyev Institute of Hydrodynamics)
Thursday 29 September 2022, 09:15-09:45