Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. David Padilla-Garza
Technische Universität Dresden

 
spricht am
 
Donnerstag, 11. Mai 2023
 
um
 
15:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Mathematical Challenges and Developments in the Nonlinear Bending Theory for Plates«

Abstract:
The nonlinear bending theory for plates describes the mechanics of a thin inextensible and incompressible film. It features a highly non-convex isometry constraint and a quadratic cost on second-order terms. This talk will be about modern developments in deriving an extension of the nonlinear bending theory for new materials, in a mathematically general and rigorous way by means of Gamma-convergence. I will begin by deriving a nonlinear bending theory for prestrained thin films, using convex-integration solutions to the Monge-Ampere equation. I will also discuss nonlinear bending theories for microheterogeneous thin plates and liquid crystal elastomer bilayers.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernd Schmidt



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