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arXiv · 2111.11270

Stability of boundary conditions for the Sadowsky functional

Lorenzo Freddi·Peter Hornung·Maria Giovanna Mora·Roberto Paroni
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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 M\"obius band.

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Lorenzo Freddi, Peter Hornung, Maria Giovanna Mora, Roberto Paroni. 2021-11-22. Stability of boundary conditions for the Sadowsky functional. https://doi.org/10.1007/s00332-022-09829-2

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