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Gaussian curvature from flat elastica sheets

Modes, C. D. and Bhattacharya, K. and Warner, M. (2011) Gaussian curvature from flat elastica sheets. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 467 (2128). pp. 1121-1140. ISSN 1364-5021. http://resolver.caltech.edu/CaltechAUTHORS:20110317-105846413

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Abstract

We discuss methods of reversibly inducing non-developable surfaces from flat sheets of material at the micro-scale all the way to macroscopic objects. We analyse the elastic ground states of a nematic glass in the membrane approximation as a function of temperature for disclination defects of topological charge +1. An aim is to show that by writing an appropriate director field into such a solid, one could create a surface with Gaussian curvature, dynamically switchable from flat sheets while avoiding stretch energy. In addition to the prospect of programmable structures, such surfaces offer actuation via stretch in thin systems since when illumination is subsequently removed, unavoidable stretches return.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rspa.2010.0352 DOIArticle
http://rspa.royalsocietypublishing.org/content/467/2128/1121PublisherArticle
ORCID:
AuthorORCID
Bhattacharya, K.0000-0003-2908-5469
Additional Information:© 2011 The Royal Society. Received 6 July 2010. Accepted 16 September 2010. Published online 20 October 2010. We are grateful for guidance from Professors Broer, Bastiaansen and Sanchez. C.D.M. and M.W. thank the EPSRC for funding under grant EP/E051251/1 and K.B. under EP/F060033/1.
Funders:
Funding AgencyGrant Number
Engineering and Physical Sciences Research Council (EPSRC) EP/E051251/1
Engineering and Physical Sciences Research Council (EPSRC) EP/F060033/1
Subject Keywords:nematic; solids; disclinations; cones; anti-cones
Record Number:CaltechAUTHORS:20110317-105846413
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110317-105846413
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22955
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:17 Mar 2011 19:17
Last Modified:23 Aug 2016 09:59

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