upcoming VMPD15 seminars

[Emanuele Tuillier Illingworth]

VMPD15 SEMINARS ANNOUNCEMENT
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SPEAKER
Flaviana Iurlano (Universität Bonn)
TITLE
An integral representation result in dimension 2 for functionals defined 
on SBD^p.
ABSTRACT
The set SBD^p(Ω) is defined as the space of special functions of bounded 
deformation whose strain is p-th power integrable and whose jump set has 
finite measure. In dimension 2 we show that lower semicontinuous 
functionals defined on SBD^p(Ω) admit an integral representation with 
Caratheodory integrands, under some growth and continuity conditions.
VENUE: SISSA, Wednesday 13 May at 5 pm in lecture room 133


SPEAKER
Carolin Kreisbeck (Universität Regensburg)
TITLE
Homogenization of layered materials with rigid components in single-slip 
finite plasticity.
ABSTRACT
This talk reports on first progress toward a better quantitative 
understanding of the effective behavior of polycrystalline solids in the 
framework of geometrically nonlinear plasticity. More precisely, we 
study a variational model for plastic material composed of fine parallel 
layers of two types. While one component is completely rigid in the 
sense that it does not admit any plastic deformation but only local 
rotations, the other one is softer featuring a single active slip system 
with linear self-hardening. As a main result, explicit homogenization 
formulas are determined by means of Gamma-convergence. Owing to the 
anisotropic nature of the problem, the findings depend critically on the 
orientation of the layers relative to the slip direction, leading to 
three qualitatively different regimes. In particular, one observes 
macroscopic shearing and blocking effects. The technical difficulties 
are rooted in the intrinsic rigidity resulting from the layered 
geometry, which calls for new rigidity estimates as well as a careful 
analysis of the admissible microstructures restricted by a differential 
inclusion.
This is joint work with Fabian Christowiak (Universität Regensburg).
VENUE: SISSA, Thursday 14 May at 4 pm in lecture room 005