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SUMMARY:Nonlinear waves on the surface of a fluid covered by a viscoelasti
 c sheet - Pavel Plotnikov (Lavrentyev Institute of Hydrodynamics)
DTSTART:20220929T081500Z
DTEND:20220929T084500Z
UID:TALK178403@talks.cam.ac.uk
DESCRIPTION: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 Antm
 an theory of hyperelastic &nbsp\;Cosserat shells. Within the framework of 
 this theory\, the total energy of the shell is represented as the sum of t
 he stored elastic energy and the dissipative function. We &nbsp\;give a de
 rivation of the&nbsp\; system of evolutionary equations for the motion of 
 a free boundary. The main attention is paid to the analysis of the structu
 re of the dissipative function and to the derivation of the energy dissipa
 tion law.&nbsp\; We also consider the viscoelastic covers satisfying the V
 oight constitutive law.
LOCATION:Seminar Room 1\, Newton Institute
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