Chirality in the plane

Chirality in the plane

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 chi...

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Veröffentlicht in:Journal of the mechanics and physics of solids 2020-01, Vol.134, p.103753, Article 103753
Hauptverfasser: Böhmer, Christian G., Lee, Yongjo, Neff, Patrizio
Format: Artikel
Sprache:eng
Schlagworte:
Centro-symmetry
Chiral materials
Chirality
Cosserat continuum
Equations of motion
Hemitropy
Isotropy
Planar models
Solitary waves
Three dimensional models
Two dimensional models
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container_title Journal of the mechanics and physics of solids
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creator Böhmer, Christian G.
Lee, Yongjo
Neff, Patrizio
description 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.
doi_str_mv 10.1016/j.jmps.2019.103753
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subjects Centro-symmetry
Chiral materials
Chirality
Cosserat continuum
Equations of motion
Hemitropy
Isotropy
Planar models
Solitary waves
Three dimensional models
Two dimensional models
title Chirality in the plane
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