Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 144, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2020.104101
Keywords
Liquid crystals; Nematic solids; Elastic plates; Nonlinear deformation; Multiplicative decomposition; Stress
Funding
- Engineering and Physical Sciences Research Council of Great Britain [EP/R020205/1, EP/S028870/1]
- EPSRC [EP/S028870/1, EP/R020205/1] Funding Source: UKRI
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We derive a Foppl-von Karman-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. (C) 2020 Elsevier Ltd. All rights reserved.
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