CUED Publications database

Encoding Gaussian curvature in glassy and elastomeric liquid crystal solids.

Mostajeran, C and Warner, M and Ware, TH and White, TJ (2016) Encoding Gaussian curvature in glassy and elastomeric liquid crystal solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472. p. 20160112.

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Abstract

We describe shape transitions of thin, solid nematic sheets with smooth, preprogrammed, in-plane director fields patterned across the surface causing spatially inhomogeneous local deformations. A metric description of the local deformations is used to study the intrinsic geometry of the resulting surfaces upon exposure to stimuli such as light and heat. We highlight specific patterns that encode constant Gaussian curvature of prescribed sign and magnitude. We present the first experimental results for such programmed solids, and they qualitatively support theory for both positive and negative Gaussian curvature morphing from flat sheets on stimulation by light or heat. We review logarithmic spiral patterns that generate cone/anti-cone surfaces, and introduce spiral director fields that encode non-localized positive and negative Gaussian curvature on punctured discs, including spherical caps and spherical spindles. Conditions are derived where these cap-like, photomechanically responsive regions can be anchored in inert substrates by designing solutions that ensure compatibility with the geometric constraints imposed by the surrounding media. This integration of such materials is a precondition for their exploitation in new devices. Finally, we consider the radial extension of such director fields to larger sheets using nematic textures defined on annular domains.

Item Type: Article
Uncontrolled Keywords: curvature elastomers nematic solids
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 09 May 2018 20:10
Last Modified: 12 Dec 2019 01:51
DOI: 10.1098/rspa.2016.0112