On the Sadowsky functional for anisotropic ribbons
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866913055079661568 |
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| author | Savaré, Giovanni |
| author_facet | Savaré, Giovanni |
| contents | 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 Möbius strip. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20567 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Sadowsky functional for anisotropic ribbons Savaré, Giovanni Analysis of PDEs Classical Analysis and ODEs 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 Möbius strip. |
| title | On the Sadowsky functional for anisotropic ribbons |
| topic | Analysis of PDEs Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2604.20567 |