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Shape programming for narrow ribbons of nematic elastomers

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posted on 2023-06-09, 04:55 authored by Virginia Agostiniani, Antonio DeSimone, Konstantinos KoumatosKonstantinos Koumatos
Using the theory of G-convergence, we derive from three-dimensional elasticity new one-dimensional models for non-Euclidean elastic ribbons, i.e., ribbons exhibiting spontaneous curvature and twist. We apply the models to shape-selection problems for thin films of nematic elastomers with twist and splay-bend texture of the nematic director. For the former, we discuss the possibility of helicoid-like shapes as an alternative to spiral ribbons.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Elasticity

ISSN

0374-3535

Publisher

Kluwer

Issue

1

Volume

127

Page range

1-24

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Analysis and Partial Differential Equations Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-01-25

First Open Access (FOA) Date

2017-09-23

First Compliant Deposit (FCD) Date

2017-01-25

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