### Abstract

Language | English |
---|---|

Number of pages | 10 |

Journal | Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences |

Volume | 469 |

Issue number | 2153 |

DOIs | |

State | Published - 2013 |

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### Cite this

*Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences*,

*469*(2153). DOI: 10.1098/rspa.2012.0631

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*Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences*, vol. 469, no. 2153. DOI: 10.1098/rspa.2012.0631

**Angular deficits in flat space: remotely controllable apertures in nematic solid sheets.** / Modes, C.D.; Warner, M.; Sanchez-Somolinos, C.; Haan, de, L.T.; Broer, D.J.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Angular deficits in flat space: remotely controllable apertures in nematic solid sheets

AU - Modes,C.D.

AU - Warner,M.

AU - Sanchez-Somolinos,C.

AU - Haan, de,L.T.

AU - Broer,D.J.

PY - 2013

Y1 - 2013

N2 - Recent attention has been given to the realization of angular deficits and surpluses in the local ground-state geometry of thin sheets of nematic solids as out-of-plane deformations. Such systems exhibit conical or anti-conical curvature sites, or possibly arrays of such polyhedral corners, in order to satisfy the material's spontaneous strain-generated metric requirements. Here, we turn the angular deficit requirement on its head, and show theoretically and experimentally that by appropriately altering the topology of the initially flat sheet-for example, by cutting it in carefully chosen regions-the same angular deficits and surpluses may manifest simply in-plane by changing the geometry of the cut region. Such amechanism offers a route to apertures or arrays of apertures that may be reversibly opened and closed by applying spontaneous strain with heat, light or chemical potential.

AB - Recent attention has been given to the realization of angular deficits and surpluses in the local ground-state geometry of thin sheets of nematic solids as out-of-plane deformations. Such systems exhibit conical or anti-conical curvature sites, or possibly arrays of such polyhedral corners, in order to satisfy the material's spontaneous strain-generated metric requirements. Here, we turn the angular deficit requirement on its head, and show theoretically and experimentally that by appropriately altering the topology of the initially flat sheet-for example, by cutting it in carefully chosen regions-the same angular deficits and surpluses may manifest simply in-plane by changing the geometry of the cut region. Such amechanism offers a route to apertures or arrays of apertures that may be reversibly opened and closed by applying spontaneous strain with heat, light or chemical potential.

U2 - 10.1098/rspa.2012.0631

DO - 10.1098/rspa.2012.0631

M3 - Article

VL - 469

JO - Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences

T2 - Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences

SN - 1364-5021

IS - 2153

ER -