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Actuation of thin nematic elastomer sheets with controlled heterogeneity

Plucinsky, Paul and Lemm, Marius and Bhattacharya, Kaushik (2018) Actuation of thin nematic elastomer sheets with controlled heterogeneity. Archive for Rational Mechanics and Analysis, 227 (1). pp. 149-214. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20170130-115632977

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Abstract

Nematic elastomers and glasses deform spontaneously when subjected to temperature changes. This property can be exploited in the design of heterogeneously patterned thin sheets that deform into a non-trivial shape when heated or cooled. In this paper, we start from a variational formulation for the entropic elastic energy of liquid crystal elastomers and we derive an effective two-dimensional metric constraint, which links the deformation and the heterogeneous director field. Our main results show that satisfying the metric constraint is both necessary and sufficient for the deformation to be an approximate minimizer of the energy. We include several examples which show that the class of deformations satisfying the metric constraint is quite rich.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/s00205-017-1167-3DOIArticle
https://link.springer.com/article/10.1007%2Fs00205-017-1167-3PublisherArticle
http://rdcu.be/DVGwPublisherFree ReadCube access
https://arxiv.org/abs/1611.00729arXivDiscussion Paper
ORCID:
AuthorORCID
Plucinsky, Paul0000-0003-2060-8657
Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 2017 Springer-Verlag GmbH Germany. Received: 04 April 2017; Accepted: 25 July 2017; First Online: 18 September 2017.
Record Number:CaltechAUTHORS:20170130-115632977
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170130-115632977
Official Citation:Plucinsky, P., Lemm, M. & Bhattacharya, K. Arch Rational Mech Anal (2018) 227: 149. https://doi.org/10.1007/s00205-017-1167-3
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73819
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:30 Jan 2017 20:32
Last Modified:02 Jan 2018 21:09

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