19th GAMM-Seminar on Microstructures - Young Researchers

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Embedded Young Researchers' Meeting

The Young Researchers' Meeting will take place on Thursday, 23 January, in the Seminar Room 226, Hermann-Herder-Str. 10, 79104 Freiburg.

Schedule:

For those who expressed a wish to joint us for lunch: We meet in front of the building (Hermann-Herder-Str. 10) at 13:00 and go in the university canteen. You can check the menu here.

	Thursday
14:00 - 14:15	Opening
14:15 - 15:00	Annika Bach
15:00 - 15:45	Thorsten Bartel
15:45 - 16:15	coffee
16:15 - 17:25	short presentations by: Mischa Blaszczyk Dominik Engl Alexander Henkes Dustin Roman Jantos Coffi Aristide Hounkpe Steve Wolff-Vorbeck Marius Zeinhofer
17:25 - 18:00	open discussion

Annika Bach
Γ-convergence for energy-driven lattice systems

This talk is meant as an introductory talk to discrete-to-continuum variational analysis, that is, the asymptotic analysis via Γ-convergence of energy-driven discrete systems when the lattice spacing vanishes. After a brief introduction to the concept of Γ-convergence and its main properties, we will give some guiding examples also highlighting the relation between Γ-convergence and relaxation. Towards the end of the talk I would like to present some of my work in this context, which is concerned with the variational analysis of discrete energies that in the Γ-limit give rise to so-called free-discontinuity functionals.

Thorsten Bartel
Relaxed energy potentials based on perturbations of divergence-free fields

Quasiconvexification is not only a mathematical tool to prove the existence of minimisers. It is moreover a sophisticated method for the modelling of complex material behaviour as occurring in, e.g., shape memory alloys. The aim of this presentation is to discuss the basics of this concept from an engineer's perspective, to elaborate different energy relaxation concepts as approximations to quasiconvexification, and to show specific applications in the context of phase transformation models.

Organizers:

Thorsten Bartel – Martin Jesenko