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arXiv · 1603.02088

Shape programming for narrow ribbons of nematic elastomers

Virginia Agostiniani·Antonio DeSimone·Konstantinos Koumatos
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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.

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Virginia Agostiniani, Antonio DeSimone, Konstantinos Koumatos. 2016-03-07. Shape programming for narrow ribbons of nematic elastomers. https://arxiv.org/abs/1603.02088

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