| Abstract: |
| Using the theory of Gamma-convergence, we derive from three-dimensional elasticity new one- dimensional models for ribbons exhibiting spontaneous curvature and twist. We apply the models to shape-selection problems for thin films of nematic elastomers with the twist and splay-bend geometries for the nematic director. For the former, we discuss the possibility of helicoid-like shapes as an alternative to spiral ribbons. |
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