Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Dr. Matthias Ruf
Universität Augsburg

 
spricht am
 
Donnerstag, 2. Mai 2024
 
um
 
15:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»On the homogenization problem in nonlinear elasticity«

Abstract:
Homogenization aims at deriving effective models for functionals or PDEs with highly oscillating spatial dependence. A major problem is to understand the asymptotic behavior of functionals with periodic/stationary integrands in the context of nonlinear elasticity, where typically constraints on the determinant of the gradient pose a substantial problem. After a short introduction to the subject, we show that the standard multi-cell formula used in the case of convex growth provides an upper bound for the Gamma-limit for a large class of functionals modeling incompressible materials with periodic structure. Ongoing work with Mathias Schäffner.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernd Schmidt



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