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SUMMARY:Marco Bresciani (University of Erlangen)
DTSTART:20240415T134000Z
DTEND:20240415T151000Z
DTSTAMP:20260405T175236Z
UID:NSCM/131
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/131/">V
 ariational models with Eulerian-Lagrangian formulation allowing for materi
 al failure</a>\nby Marco Bresciani (University of Erlangen) as part of Ne
 čas Seminar on Continuum Mechanics\n\nLecture held in Room K3\,  Faculty 
 of Mathematics and Physics\, Charles University\, Sokolovská 83  Prague 8
 ..\n\nAbstract\nWe investigate the existence of minimizers of variational 
 models with Eulerian-Lagrangian\nformulations. Similar models arise natura
 lly in many multi-physics problems such as\nthe modeling of nematic and fe
 rromagnetic elastomers. We consider energy functionals\ndepending on the d
 eformation of a body\, defined on its reference configuration\, and an\nEu
 lerian map defined on the unknown deformed configuration in the actual spa
 ce. Our\nexistence theory moves beyond the purely elastic setting and acco
 unts for material failure\nby addressing free-discontinuity problems where
  both deformations and Eulerian fields are\nallowed to jump. To do so\, we
  build upon the work of Henao and Mora-Corral regarding\nthe variational m
 odeling of cavitation and fracture in nonlinear elasticity. Two main\nsett
 ings are considered by modeling deformations as Sobolev and SBV -maps\, re
 spectively.\nThe regularity of Eulerian maps is specified in each of these
  two settings according to the\ngeometric and topological properties of th
 e deformed configuration. Effectiveness and\nlimitations of the theory are
  illustrated by means of explicit examples.\nThe talk is based on joint wo
 rk with Manuel Friedrich (FAU Erlangen-Nuremberg) and\nCarlos Mora-Corral 
 (Universidad Autonoma de Madrid).\n
LOCATION:https://researchseminars.org/talk/NSCM/131/
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