Antrittsvorlesung: On wrinkling of thin elastic sheets

Datum

11.11.2015

Zeit

17:00 - 18:00

Sprecher

Prof. Dr. Oliver Sander

Zugehörigkeit

TU Dresden, Institut für Numerische Mathematik

Serie

TUD Dresdner Mathematisches Seminar

Sprache

de

Hauptthema

Mathematik

Andere Themen

Mathematik

Host

Prof. Dr. R. Schilling / Prof. Dr. A. Fischer

Beschreibung

Thin sheets show typical wrinkling patterns when loaded in shear. The simulation of such patterns is challenging, because they are highly nonlinear phenomena. One contender for a mathematical model for such wrinkling is a Cosserat-type model recently proposed by Neff. It describes configurations of the sheet as the deformation of the midsurface, together with a field of microrotations, that is, a function mapping the domain into the special orthogonal group SO(3). The numerical treatment of this model is difficult, because the set of admissible configurations of Sobolev smoothness does not form a vector space. In the talk, we present generalizations of standard finite element methods to function spaces with a nonlinear codomain. These generalized FE spaces are H^1 conforming, and we show optimal a priori discretization error bounds. When used to simulate wrinkling patterns of a Cosserat sheet model, we obtain good quantitative agreement with experimental results from the literature.

Links

• Dresdner Mathematisches Seminar

Letztmalig verändert: 20.10.2015, 16:07:50