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Chirality in the plane

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. Green open access

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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 > 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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