A Rod Theory for Liquid Crystalline Elastomers

• Published in: Journal of elasticity Vol. 153; no. 4-5; pp. 509 - 532
• Main Authors: Goriely, Alain, Moulton, Derek E., Angela Mihai, L.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.07.2023; Springer Nature B.V
• Subjects: Biomechanics; Classical and Continuum Physics; Classical Mechanics; Constitutive models; Elastomers; Engineering; Liquid crystals; Materials Science; Mathematical Applications in the Physical Sciences; Mathematical models; Nematic crystals; One dimensional models; Rods; Strain energy; Tensile stress; Theoretical and Applied Mechanics; 74K10; Liquid crystal; Rod theory; 76A15; Nonlinear elasticity; 74B20; Modeling; 74; Nonlinear effects

We derive a general constitutive model for nematic liquid crystalline rods. Our approach consists in reducing the three-dimensional strain-energy density of a nematic cylindrical structure to a one-dimensional energy of a nematic rod. The reduced one-dimensional model connects directly the optotherm...