Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Stephan Luckhaus
Universität Leipzig

 
spricht am
 
Donnerstag, 4. Mai 2017
 
um
 
16:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Low energy configurations of dislocations«

Abstract:
We investigate the energy landscape for plastically deformed metals after annealing. The model for the energy has two terms: a finite core energy where the core radius is assumed to be proportional to the lattice constant and an elastic energy which is proportional to the squared distance of the strain to the group of rotations. Assuming the curl to be quantized (a lattice vector) we prove in two dimensions a lower bound proportional to the Shockley Read formula for small angle grain boundaries. In particular this estimate has as a consequence that small energy configurations are basically piecewise constant rotations in terms of strain.
(joint work with G.Lauteri)

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Malte Peter
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,    Mi 26-Apr-2017 12:59:40 MESZ