A plate theory for nematic liquid crystalline solids

Author: 

Mihai, L
Goriely, A

Publication Date: 

24 July 2020

Journal: 

Journal of the Mechanics and Physics of Solids

Last Updated: 

2020-10-16T17:06:33.77+01:00

Volume: 

144

DOI: 

10.1016/j.jmps.2020.104101

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.

Symplectic id: 

1120665

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article