A plate theory for nematic liquid crystalline solids

• Published in: Journal of the mechanics and physics of solids Vol. 144; p. 104101
• Main Authors: Mihai, L. Angela, Goriely, Alain
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 01.11.2020; Elsevier BV
• Subjects: Constitutive models; Crystal structure; Crystallinity; Deformation; Elastic deformation; Elastic plates; Equilibrium equations; Horses; Liquid crystals; Mathematical models; Multiplicative decomposition; Nematic crystals; Nematic solids; Nonlinear deformation; Plate theory; Residual stress; Stress; Stress distribution; Two dimensional models; Nonlinear deformation; Nematic solids; Elastic plates; Liquid crystals; Multiplicative decomposition; Stress

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 d...