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arXiv · 2604.20567

On the Sadowsky functional for anisotropic ribbons

Giovanni Savaré
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Abstract

The equilibrium shape of a thin, elastic, inextensible ribbon minimizes its bending energy. It has been shown that, as the width of the ribbon tends to zero, the bending energy Gamma-converges to the so called Sadowsky functional. In this paper we consider geometrically frustrated anisotropic ribbons with a possibly curved reference configuration. We prove that the Gamma-convergence remains valid under prescribed affine boundary conditions, including, in particular, those satisfied by a M\"obius strip.

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Giovanni Savaré. 2026-04-22. On the Sadowsky functional for anisotropic ribbons. https://arxiv.org/abs/2604.20567

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