Metastability of a periodic network of threads: what are the shapes of a knitted fabric ?
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913560365367296 |
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| author | Crassous, Jérôme Poincloux, Samuel Steinberger, Audrey |
| author_facet | Crassous, Jérôme Poincloux, Samuel Steinberger, Audrey |
| contents | Knitted fabrics are metamaterials with remarkable mechanical properties, such as extreme deformability and multiple history-dependent rest shapes. This letter shows that those properties may stem from a continuous set of metastable states for a mechanically relaxed fabric, evidenced through experiments, numerical simulations and analytical developments. Those states arise from the frictional contact forces acting in the braid zone where the threads interlace and follow a line in the configuration space accurately described by a 2D-elastica model. The friction coefficient sets a terminal point along this line, and the continuous set of relaxed states is obtained by varying the braid inclination while contact forces remain on the friction cone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07811 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Metastability of a periodic network of threads: what are the shapes of a knitted fabric ? Crassous, Jérôme Poincloux, Samuel Steinberger, Audrey Soft Condensed Matter Knitted fabrics are metamaterials with remarkable mechanical properties, such as extreme deformability and multiple history-dependent rest shapes. This letter shows that those properties may stem from a continuous set of metastable states for a mechanically relaxed fabric, evidenced through experiments, numerical simulations and analytical developments. Those states arise from the frictional contact forces acting in the braid zone where the threads interlace and follow a line in the configuration space accurately described by a 2D-elastica model. The friction coefficient sets a terminal point along this line, and the continuous set of relaxed states is obtained by varying the braid inclination while contact forces remain on the friction cone. |
| title | Metastability of a periodic network of threads: what are the shapes of a knitted fabric ? |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2404.07811 |