1603.02088v1.pdf (4.27 MB)
Shape programming for narrow ribbons of nematic elastomers
journal contribution
posted on 2023-06-09, 04:55 authored by Virginia Agostiniani, Antonio DeSimone, Konstantinos KoumatosKonstantinos KoumatosUsing 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 ElasticityISSN
0374-3535Publisher
KluwerExternal DOI
Issue
1Volume
127Page range
1-24Department 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
2017-01-25First Open Access (FOA) Date
2017-09-23First Compliant Deposit (FCD) Date
2017-01-25Usage metrics
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