Emergence of spontaneous twist and curvature in non-euclidean rods: application to Erodium plant cells.

@article{Aharoni2012EmergenceOS,
  title={Emergence of spontaneous twist and curvature in non-euclidean rods: application to Erodium plant cells.},
  author={Hillel Aharoni and Yael Abraham and Rivka Elbaum and Eran Sharon and Raz Kupferman},
  journal={Physical review letters},
  year={2012},
  volume={108 23},
  pages={238106}
}
We present a limiting model for thin non-euclidean elastic rods. Originating from the three-dimensional (3D) reference metric of the rod, which is determined by its internal material structure, we derive a 1D reduced rod theory. Specifically, we show how the spontaneous twist and curvature of a rod emerge from the reference metric derivatives. Thus, the… CONTINUE READING