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SUMMARY:Lennart Machill (University of Muenster\, Germany)
DTSTART:20221010T134000Z
DTEND:20221010T151000Z
DTSTAMP:20260405T174547Z
UID:NSCM/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/74/">On
 e-dimensional viscoelastic von Kármán theories</a>\nby Lennart Machill (
 University of Muenster\, Germany) as part of Nečas Seminar on Continuum M
 echanics\n\n\nAbstract\nWe derive an effective one-dimensional limit from 
 a three-dimensional Kelvin-Voigt model for viscoelastic thin-walled beams\
 , in which the elastic and the viscous stress tensor comply with a frame-i
 ndifference principle. The limiting system of equations comprises stretchi
 ng\, bending\, and twisting both in the elastic and the viscous stress. It
  coincides with the model already identified via [Friedrich-Kružík '20] 
 and [Friedrich-Machill '22] by a successive dimension reduction\, first fr
 om 3D to a 2D theory for von Kármán plates and then from 2D to a 1D theo
 ry for ribbons. Our arguments rely on the static Gamma-convergence in [Fre
 ddi-Mora-Paroni '13]\, on the abstract theory of metric gradient flows\, a
 nd on evolutionary Gamma-convergence by Sandier and Serfaty.\n
LOCATION:https://researchseminars.org/talk/NSCM/74/
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