Conical defects in growing sheets
| dc.creator | Mueller, Martin Michael | |
| dc.creator | Amar, Martine Ben | |
| dc.creator | Guven, Jemal | |
| dc.date | 2008-07-11 | |
| dc.date | 2008-10-14 | |
| dc.date.accessioned | 2026-07-07T10:09:20Z | |
| dc.date.available | 2026-07-07T10:09:20Z | |
| dc.description | A growing or shrinking disc will adopt a conical shape, its intrinsic geometry characterized by a surplus angle $se$ at the apex. If growth is slow, the cone will find its equilibrium. Whereas this is trivial if $se <= 0$, the disc can fold into one of a discrete infinite number of states if $se$ is positive. We construct these states in the regime where bending dominates, determine their energies and how stress is distributed in them. For each state a critical value of $se$ is identified beyond which the cone touches itself. Before this occurs, all states are stable; the ground state has two-fold symmetry. | |
| dc.description | 4 pages, 4 figures, LaTeX, RevTeX style. New version corresponds to the one published in PRL | |
| dc.identifier | https://arxiv.org/abs/0807.1814 | |
| dc.identifier | http://arxiv.org/abs/0807.1814 | |
| dc.identifier | Phys. Rev. Lett. 101 (15), 156104 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.101.156104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171287 | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Materials Science | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Conical defects in growing sheets | |
| dc.type | text |