Faceted wrinkling by contracting a curved boundary
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866911840964968448 |
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| author | Pal, Anshuman S. Pocivavsek, Luka Witten, Thomas A. |
| author_facet | Pal, Anshuman S. Pocivavsek, Luka Witten, Thomas A. |
| contents | Single-mode deformations of two-dimensional materials, such as the Miura-ori zig-zag fold, are important to the design of deployable structures because of their robustness; these usually require careful pre-patterning of the material. Here we show that inward contraction of a curved boundary produces a fine wrinkle pattern with a novel structure that suggests similar single-mode characteristics, but with minimal pre-patterning. Using finite-element representation of the contraction of a thin circular annular sheet, we show that these sheets wrinkle into a structure well approximated by an isometric structure composed of conical sectors and flat, triangular facets. Isometry favours the restriction of such deformations to a robust low-bending energy channel that avoids stretching. This class of buckling offers a novel way to manipulate sheet morphology via boundary forces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_03552 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Faceted wrinkling by contracting a curved boundary Pal, Anshuman S. Pocivavsek, Luka Witten, Thomas A. Soft Condensed Matter Single-mode deformations of two-dimensional materials, such as the Miura-ori zig-zag fold, are important to the design of deployable structures because of their robustness; these usually require careful pre-patterning of the material. Here we show that inward contraction of a curved boundary produces a fine wrinkle pattern with a novel structure that suggests similar single-mode characteristics, but with minimal pre-patterning. Using finite-element representation of the contraction of a thin circular annular sheet, we show that these sheets wrinkle into a structure well approximated by an isometric structure composed of conical sectors and flat, triangular facets. Isometry favours the restriction of such deformations to a robust low-bending energy channel that avoids stretching. This class of buckling offers a novel way to manipulate sheet morphology via boundary forces. |
| title | Faceted wrinkling by contracting a curved boundary |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2206.03552 |