Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Dr. Stefan Krömer
Czech Academy of Sciences

 
spricht am
 
Donnerstag, 17. Oktober 2019
 
um
 
15:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Injective nonlinear elasticity via penalty terms: analysis and numerics«

Abstract:
I will present some new ideas for nonlinear elasticity with a global injectivity constraint preventing self-interpenetration of the elastic body. Our main focus are penalization terms replacing this injectivity constraint, the Ciarlet-Nečas condition. Among other things, the penalization can be chosen in such a way that self-interpenetration is prevented even at finite value of the penalization parameter, and not just in the limit. Our penalty method provides a working numerical scheme with provable convergence along a subsequence, for models of non-simple materials (i.e., including a term with higher order derivatives). This is joint work with Jan Valdman (UTIA CAS Prague)

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Lisa Beck



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