Joint Analysis Seminar


Tuesday Jun 4, 2013, 03.45 pm

Derivation of a line-tension model for dislocations in the plane

Prof. Sergio Conti (Universität Bonn)


Dislocations are topological defects in crystals which generate long-range elastic stresses. For dislocations in the plane the elastic interactions can be represented via a singular kernel behaving as the H^{1/2} norm of the slip. We obtain a sharp-interface limit within the framework of Gamma convergence in the limit of small elastic spacing. One key ingredient is a proof of the fact that the presence of infinitely many equivalent length scales gives strong restrictions on the geometry of the microstructure. In particular we show that the micrustructure must be one-dimensional on most length scales, and that only few are available for the relaxation. This talk is based on joint work with Adriana Garroni, Annalisa Massaccesi and Stefan Müller.

Time: 03:45 pm Please join us for coffee beforehand at 15:15 in room 114 in the Main Building.

Location: Hauptgebäude, Hörsaal V, Templergraben 55, 52062 Aachen