A plate theory for nematic liquid crystalline solids

Mihai, L. Angela ORCID: https://orcid.org/0000-0003-0863-3729 and Goriely, Alain 2020. A plate theory for nematic liquid crystalline solids. Journal of the Mechanics and Physics of Solids 144 , 104101. 10.1016/j.jmps.2020.104101

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Abstract

We derive a Föppl-von Kármán-type constitutive model for solid liquid crystalline plates where the nematic director may or may not rotate freely relative to the elastic network. To obtain the reduced two-dimensional model, we rely on the deformation decomposition of a nematic solid into an elastic deformation and a natural shape change. The full solution to the resulting equilibrium equations consists of both the deformation displacement and stress fields. The model equations are applicable to a wide range of thin nematic bodies subject to optothermal stimuli and mechanical loads. For illustration, we consider certain reversible natural shape changes in simple systems which are stress free, and their counterparts, where the natural deformations are blocked and internal stresses appear. More general problems can be addressed within the same framework.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Elsevier
ISSN:	0022-5096
Date of First Compliant Deposit:	23 July 2020
Date of Acceptance:	22 July 2020
Last Modified:	16 Nov 2024 02:30
URI:	https://orca.cardiff.ac.uk/id/eprint/133652

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