Calculus of Variations and Geometric Measure Theory
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L. Freddi - P. Hornung - M. G. Mora - R. Paroni

Stability of boundary conditions for the Sadowsky functional

created by mora on 22 Nov 2021

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Submitted Paper

Inserted: 22 nov 2021
Last Updated: 22 nov 2021

Year: 2021

Abstract:

It has been proved by the authors that the (extended) Sadowsky functional can be deduced as the Gamma-limit of the Kirchhoff energy on a rectangular strip of height $\varepsilon$, as $\varepsilon$ tends to 0. In this paper we show that this Gamma-convergence result is stable when affine boundary conditions are prescribed on the short sides of the strip. These boundary conditions include those corresponding to a Möbius band.

Keywords: Sadowsky functional, Elastic ribbons , Möbius band


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