How periodic surfaces bend without stretching
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908623318286336 |
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| author | Nassar, Hussein Weber, Andrew |
| author_facet | Nassar, Hussein Weber, Andrew |
| contents | Many compliant shell mechanisms are periodically corrugated or creased. Being thin, their preferred deformation modes are inextensional, i.e., isometric. Here, we report on a recent characterization of the isometric deformations of periodic surfaces. In a way reminiscent of Gauss theorem, the result builds a constraint that relates the ways in which the periodic surface stretches, effectively but isometrically, to the ways in which it bends and twists. Several examples and use cases are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00223 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | How periodic surfaces bend without stretching Nassar, Hussein Weber, Andrew Differential Geometry Soft Condensed Matter Many compliant shell mechanisms are periodically corrugated or creased. Being thin, their preferred deformation modes are inextensional, i.e., isometric. Here, we report on a recent characterization of the isometric deformations of periodic surfaces. In a way reminiscent of Gauss theorem, the result builds a constraint that relates the ways in which the periodic surface stretches, effectively but isometrically, to the ways in which it bends and twists. Several examples and use cases are presented. |
| title | How periodic surfaces bend without stretching |
| topic | Differential Geometry Soft Condensed Matter |
| url | https://arxiv.org/abs/2511.00223 |