Geometry of thin nematic elastomer sheets.

@article{Aharoni2014GeometryOT,
  title={Geometry of thin nematic elastomer sheets.},
  author={Hillel Aharoni and Eran Sharon and Raz Kupferman},
  journal={Physical review letters},
  year={2014},
  volume={113 25},
  pages={257801}
}
A thin sheet of nematic elastomer attains 3D configurations depending on the nematic director field upon heating. In this Letter, we describe the intrinsic geometry of such a sheet and derive an expression for the metric induced by general nematic director fields. Furthermore, we investigate the reverse problem of constructing a director field that induces a specified 2D geometry. We provide an explicit recipe for how to construct any surface of revolution using this method. Finally, we show… CONTINUE READING
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