Bendability parameter for twisted ribbons to describe longitudinal wrinkling and delineate the near-threshold regime
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911828767932416 |
|---|---|
| author | Leembruggen, Madelyn Andrejevic, Jovana Kudrolli, Arshad Rycroft, Chris H. |
| author_facet | Leembruggen, Madelyn Andrejevic, Jovana Kudrolli, Arshad Rycroft, Chris H. |
| contents | We propose a dimensionless bendability parameter, $ε^{-1} = [\left(h/W\right)^2 T^{-1}]^{-1}$ for wrinkling of thin, twisted ribbons with thickness $h$, width $W$, and tensional strain $T$. Bendability permits efficient collapse of data for wrinkle onset, wavelength, critical stress, and residual stress, demonstrating longitudinal wrinkling's primary dependence on this parameter. This new parameter also allows us to distinguish the highly bendable range ($ε^{-1} > 20$) from moderately bendable samples ($ε^{-1} \in (0,20]$). We identify scaling relations to describe longitudinal wrinkles that are valid across our entire set of simulated ribbons. When restricted to the highly bendable regime, simulations confirm theoretical near-threshold (NT) predictions for wrinkle onset and wavelength. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bendability parameter for twisted ribbons to describe longitudinal wrinkling and delineate the near-threshold regime Leembruggen, Madelyn Andrejevic, Jovana Kudrolli, Arshad Rycroft, Chris H. Soft Condensed Matter We propose a dimensionless bendability parameter, $ε^{-1} = [\left(h/W\right)^2 T^{-1}]^{-1}$ for wrinkling of thin, twisted ribbons with thickness $h$, width $W$, and tensional strain $T$. Bendability permits efficient collapse of data for wrinkle onset, wavelength, critical stress, and residual stress, demonstrating longitudinal wrinkling's primary dependence on this parameter. This new parameter also allows us to distinguish the highly bendable range ($ε^{-1} > 20$) from moderately bendable samples ($ε^{-1} \in (0,20]$). We identify scaling relations to describe longitudinal wrinkles that are valid across our entire set of simulated ribbons. When restricted to the highly bendable regime, simulations confirm theoretical near-threshold (NT) predictions for wrinkle onset and wavelength. |
| title | Bendability parameter for twisted ribbons to describe longitudinal wrinkling and delineate the near-threshold regime |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2401.10797 |