Using the theory of Gamma-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.

Shape Programming for Narrow Ribbons of Nematic Elastomers / Agostiniani, Virginia; De Simone, Antonio; Koumatos, K.. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 127:1(2017), pp. 1-24. [10.1007/s10659-016-9594-1]

Shape Programming for Narrow Ribbons of Nematic Elastomers

Agostiniani, Virginia;De Simone, Antonio;
2017-01-01

Abstract

Using the theory of Gamma-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.
2017
127
1
1
24
https://arxiv.org/abs/1603.02088
Agostiniani, Virginia; De Simone, Antonio; Koumatos, K.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16310
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