BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kai Richter (Institute of Scientific Computing\, TU Dresden) DTSTART:20250310T144000Z DTEND:20250310T161000Z DTSTAMP:20260405T174940Z UID:NSCM/167 DESCRIPTION:Title: D imension reduction for elastoplastic rods in the bending regime\nby Ka i Richter (Institute of Scientific Computing\, TU Dresden) as part of Neč as Seminar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Mathematics and Physics\, Charles University\, Sokolovská 83 Prague 8.. \n\nAbstract\nIn our work we rigorously derive a limiting bending model fo r thin rods\, starting from a full 3D model for finite elastoplasticity. F or the derivation we lean on the framework of evolutionary Gamma-convergen ce for rate-independent systems\, introduced by Mielke\, Roubíček and St efanelli in 2008. The main difficulty here is to establish a mutual recove ry sequence for the stored energy and dissipation. Strategies have been de veloped by various authors in order to construct such a sequence\, e.g. fo r linearization or in the von Kármán regime. However\, these rely on con sidering infinitesimal deformations in the limit\, which we cannot expect in the bending regime. Our approach relies on a construction based on a mu ltiplicative decomposition of the rotation fields obtained via the rigidit y estimate from Friesecke\, James and Müller. In order to achieve enough regularity\, we consider strain gradient terms in the energy\, which act o n the two parts of the polar decomposition individually. These terms vanis h in the limit.\nThis is joined work with Stefan Neukamm.\n LOCATION:https://researchseminars.org/talk/NSCM/167/ END:VEVENT END:VCALENDAR