Böhmer, CG;
Lee, Y;
Neff, P;
(2020)
Chirality in the plane.
Journal of the Mechanics and Physics of Solids
, 134
, Article 103753. 10.1016/j.jmps.2019.103753.
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Abstract
It is well-known that many three-dimensional chiral material models become non-chiral when reduced to two dimensions. Chiral properties of the two-dimensional model can then be restored by adding appropriate two-dimensional chiral terms. In this paper we show how to construct a three-dimensional chiral energy function which can achieve two-dimensional chirality induced already by a chiral three-dimensional model. The key ingredient to this approach is the consideration of a nonlinear chiral energy containing only rotational parts. After formulating an appropriate energy functional, we study the equations of motion and find explicit soliton solutions displaying two-dimensional chiral properties.
| Type: | Article |
|---|---|
| Title: | Chirality in the plane |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jmps.2019.103753 |
| Publisher version: | https://doi.org/10.1016/j.jmps.2019.103753 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Chiral materials, Planar models, Cosserat continuum, Isotropy, Hemitropy, Centro-symmetry |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10083153 |
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