On the Sadowsky functional for anisotropic ribbons
Analysis of PDEs
2026-04-23 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2604.20567,
title = {On the Sadowsky functional for anisotropic ribbons},
author = {Giovanni Savaré},
journal= {arXiv preprint arXiv:2604.20567},
year = {2026}
}