Sub-singularities for shaping thin sheets
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913749413134336 |
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| author | Witten, Thomas A. Movsheva, Anna |
| author_facet | Witten, Thomas A. Movsheva, Anna |
| contents | The principles behind the sharp, singular structures in a crumpled sheet are well understood. Here we discuss more general ways of exploiting such sharp structures to control the shape of a sheet by deforming or forcing it elsewhere. Often, the induced shape leads to further sharp structures -- ``sub-singularities". Though weaker and softer than the primary singularities, they nevertheless provide robust ways of shaping a sheet. In simple cases we understand the reason for these and their strength. This paper surveys a broad range of other sub-structure phenomena and reports recent progress in understanding some of them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16701 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sub-singularities for shaping thin sheets Witten, Thomas A. Movsheva, Anna Soft Condensed Matter The principles behind the sharp, singular structures in a crumpled sheet are well understood. Here we discuss more general ways of exploiting such sharp structures to control the shape of a sheet by deforming or forcing it elsewhere. Often, the induced shape leads to further sharp structures -- ``sub-singularities". Though weaker and softer than the primary singularities, they nevertheless provide robust ways of shaping a sheet. In simple cases we understand the reason for these and their strength. This paper surveys a broad range of other sub-structure phenomena and reports recent progress in understanding some of them. |
| title | Sub-singularities for shaping thin sheets |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2503.16701 |